* [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 112 additional inputs, on iter 1 have 144 / 256 * * * * [misc]points: Computing exacts on every 7 of 112 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 112 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 112 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 52 additional inputs, on iter 2 have 204 / 256 * * * * [misc]points: Computing exacts on every 3 of 52 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 52 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 22 additional inputs, on iter 3 have 234 / 256 * * * * [misc]points: Computing exacts for 22 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 10 additional inputs, on iter 4 have 246 / 256 * * * * [misc]points: Computing exacts for 10 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 5 have 248 / 256 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 6 have 252 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 7 have 254 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (160 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 (* (* v v) 5)) PI) (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- 1 (* v v))))) * * [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) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 1 2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- 1 (* v v)))) in (v t) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- 1 (* v v)))) in t * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* v 3) v)))) in t * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* v 3) v))) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* v 3) v)) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* v 3) v) in t * [misc]taylor: Taking taylor expansion of (* v 3) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]taylor: Taking taylor expansion of 3 in t * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (* v 3) into (* 3 v) * [misc]backup-simplify: Simplify (* (* 3 v) v) into (* 3 (pow v 2)) * [misc]backup-simplify: Simplify (- (* 3 (pow v 2))) into (- (* 3 (pow v 2))) * [misc]backup-simplify: Simplify (+ 1 (- (* 3 (pow v 2)))) into (- 1 (* 3 (pow v 2))) * [misc]backup-simplify: Simplify (* 2 (- 1 (* 3 (pow v 2)))) into (* 2 (- 1 (* 3 (pow v 2)))) * [misc]backup-simplify: Simplify (sqrt (* 2 (- 1 (* 3 (pow v 2))))) into (* (sqrt (- 1 (* 3 (pow v 2)))) (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* v 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 v) 0) (* 0 v)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- 1 (* 3 (pow v 2))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 2 (- 1 (* 3 (pow v 2))))))) into 0 * [misc]taylor: Taking taylor expansion of (* t (- 1 (* v v))) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]taylor: Taking taylor expansion of (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- 1 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* v 3) v)))) in v * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* v 3) v))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* v 3) v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* v 3) v) in v * [misc]taylor: Taking taylor expansion of (* v 3) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 3) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 3)) into 3 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 3 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (* t (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of t in v * [misc]backup-simplify: Simplify t into t * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- 1 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* v 3) v)))) in v * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* v 3) v))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* v 3) v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* v 3) v) in v * [misc]taylor: Taking taylor expansion of (* v 3) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 3) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 3)) into 3 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 3 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (* t (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of t in v * [misc]backup-simplify: Simplify t into t * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* t 1) into t * [misc]backup-simplify: Simplify (* (sqrt 2) t) into (* t (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* t (sqrt 2)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* 0 (sqrt 2)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* t 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 t)) into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sqrt 2))) into (sqrt 2) * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* t -1) (+ (* 0 0) (* 0 1))) into (- t) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 1) (* 0 0))) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (+ (* 2 -3) (+ (* 0 0) (* 0 1))) into -6 * [misc]backup-simplify: Simplify (/ (- -6 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ -3 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (- t)) (+ (* 0 0) (* (/ -3 (sqrt 2)) t))) into (- (+ (* t (sqrt 2)) (* 3 (/ t (sqrt 2))))) * [misc]taylor: Taking taylor expansion of (- (+ (* t (sqrt 2)) (* 3 (/ t (sqrt 2))))) in t * [misc]taylor: Taking taylor expansion of (+ (* t (sqrt 2)) (* 3 (/ t (sqrt 2)))) in t * [misc]taylor: Taking taylor expansion of (* t (sqrt 2)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (* 3 (/ t (sqrt 2))) in t * [misc]taylor: Taking taylor expansion of 3 in t * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ t (sqrt 2)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (* 0 (sqrt 2)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* t 0) (+ (* 0 -1) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 -3) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -3 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 (- t)) (+ (* (/ -3 (sqrt 2)) 0) (* 0 t)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sqrt 2))) into (sqrt 2) * [misc]backup-simplify: Simplify (* 3 (/ 1 (sqrt 2))) into (/ 3 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (sqrt 2) (/ 3 (sqrt 2))) into (+ (* 3 (/ 1 (sqrt 2))) (sqrt 2)) * [misc]backup-simplify: Simplify (- (+ (* 3 (/ 1 (sqrt 2))) (sqrt 2))) into (- (+ (* 3 (/ 1 (sqrt 2))) (sqrt 2))) * [misc]backup-simplify: Simplify (- (+ (* 3 (/ 1 (sqrt 2))) (sqrt 2))) into (- (+ (* 3 (/ 1 (sqrt 2))) (sqrt 2))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* t 0) (+ (* 0 0) (+ (* 0 -1) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 -3) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ -3 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (/ -9/2 (pow (sqrt 2) 3)) * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* (/ -3 (sqrt 2)) (- t)) (+ (* 0 0) (* (/ -9/2 (pow (sqrt 2) 3)) t))))) into (- (* 3 (/ t (sqrt 2))) (* 9/2 (/ t (pow (sqrt 2) 3)))) * [misc]taylor: Taking taylor expansion of (- (* 3 (/ t (sqrt 2))) (* 9/2 (/ t (pow (sqrt 2) 3)))) in t * [misc]taylor: Taking taylor expansion of (* 3 (/ t (sqrt 2))) in t * [misc]taylor: Taking taylor expansion of 3 in t * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ t (sqrt 2)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* 9/2 (/ t (pow (sqrt 2) 3))) in t * [misc]taylor: Taking taylor expansion of 9/2 in t * [misc]backup-simplify: Simplify 9/2 into 9/2 * [misc]taylor: Taking taylor expansion of (/ t (pow (sqrt 2) 3)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (sqrt 2) 3) in t * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqrt 2)))) in t * [misc]taylor: Taking taylor expansion of (* 3 (log (sqrt 2))) in t * [misc]taylor: Taking taylor expansion of 3 in t * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqrt 2)) in t * [misc]taylor: Taking taylor expansion of (sqrt 2) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (log (sqrt 2)) into (log (sqrt 2)) * [misc]backup-simplify: Simplify (* 3 (log (sqrt 2))) into (* 3 (log (sqrt 2))) * [misc]backup-simplify: Simplify (exp (* 3 (log (sqrt 2)))) into (pow (sqrt 2) 3) * [misc]backup-simplify: Simplify (/ 1 (pow (sqrt 2) 3)) into (/ 1 (pow (sqrt 2) 3)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (/ 1 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- (+ (* 3 (/ 1 (sqrt 2))) (sqrt 2))) (* t (pow v 2))) (* (sqrt 2) (* t 1))) into (- (* t (sqrt 2)) (+ (* t (* (sqrt 2) (pow v 2))) (* 3 (/ (* t (pow v 2)) (sqrt 2))))) * [misc]approximate: Taking taylor expansion of (* (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))) (* (/ 1 t) (- 1 (* (/ 1 v) (/ 1 v))))) in (v t) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))) (* (/ 1 t) (- 1 (* (/ 1 v) (/ 1 v))))) in t * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))) in t * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 v) 3) (/ 1 v))) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) 3) (/ 1 v)) in t * [misc]taylor: Taking taylor expansion of (* (/ 1 v) 3) in t * [misc]taylor: Taking taylor expansion of (/ 1 v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (/ 1 v) into (/ 1 v) * [misc]taylor: Taking taylor expansion of 3 in t * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (/ 1 v) into (/ 1 v) * [misc]backup-simplify: Simplify (* (/ 1 v) 3) into (/ 3 v) * [misc]backup-simplify: Simplify (* (/ 3 v) (/ 1 v)) into (/ 3 (pow v 2)) * [misc]backup-simplify: Simplify (- (/ 3 (pow v 2))) into (- (* 3 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (+ 1 (- (* 3 (/ 1 (pow v 2))))) into (- 1 (* 3 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (* 2 (- 1 (* 3 (/ 1 (pow v 2))))) into (* 2 (- 1 (* 3 (/ 1 (pow v 2))))) * [misc]backup-simplify: Simplify (sqrt (* 2 (- 1 (* 3 (/ 1 (pow v 2)))))) into (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 v) (/ 0 v)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 v) (/ 0 v)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 v) 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 3 v) 0) (* 0 (/ 1 v))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- 1 (* 3 (/ 1 (pow v 2)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 2 (- 1 (* 3 (/ 1 (pow v 2)))))))) into 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 t) (- 1 (* (/ 1 v) (/ 1 v)))) in t * [misc]taylor: Taking taylor expansion of (/ 1 t) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in t * [misc]taylor: Taking taylor expansion of (/ 1 v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (/ 1 v) into (/ 1 v) * [misc]taylor: Taking taylor expansion of (/ 1 v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (/ 1 v) into (/ 1 v) * [misc]taylor: Taking taylor expansion of (* (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))) (* (/ 1 t) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 v) 3) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) 3) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) 3) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 3) into 3 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* 2 -3) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -3)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 t) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 1 t) in v * [misc]taylor: Taking taylor expansion of t in v * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (/ 1 t) into (/ 1 t) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))) (* (/ 1 t) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 v) 3) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) 3) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) 3) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 3) into 3 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* 2 -3) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -3)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 t) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 1 t) in v * [misc]taylor: Taking taylor expansion of t in v * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (/ 1 t) into (/ 1 t) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ 1 t) -1) into (/ -1 t) * [misc]backup-simplify: Simplify (* (sqrt -6) (/ -1 t)) into (* -1 (/ (sqrt -6) t)) * [misc]taylor: Taking taylor expansion of (* -1 (/ (sqrt -6) t)) in t * [misc]taylor: Taking taylor expansion of -1 in t * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (sqrt -6) t) in t * [misc]taylor: Taking taylor expansion of (sqrt -6) in t * [misc]taylor: Taking taylor expansion of -6 in t * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sqrt -6) 1) into (sqrt -6) * [misc]backup-simplify: Simplify (* -1 (sqrt -6)) into (* -1 (sqrt -6)) * [misc]backup-simplify: Simplify (* -1 (sqrt -6)) into (* -1 (sqrt -6)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 t) (/ 0 t)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 t) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt -6) 0) (* 0 (/ -1 t))) into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -6) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 t) (/ 0 t)) (* 0 (/ 0 t)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 t) 1) (+ (* 0 0) (* 0 -1))) into (/ 1 t) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 2 1) (+ (* 0 0) (* 0 -3))) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (+ (* (sqrt -6) (/ 1 t)) (+ (* 0 0) (* (/ 1 (sqrt -6)) (/ -1 t)))) into (- (/ (sqrt -6) t) (/ 1 (* t (sqrt -6)))) * [misc]taylor: Taking taylor expansion of (- (/ (sqrt -6) t) (/ 1 (* t (sqrt -6)))) in t * [misc]taylor: Taking taylor expansion of (/ (sqrt -6) t) in t * [misc]taylor: Taking taylor expansion of (sqrt -6) in t * [misc]taylor: Taking taylor expansion of -6 in t * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sqrt -6) 1) into (sqrt -6) * [misc]taylor: Taking taylor expansion of (/ 1 (* t (sqrt -6))) in t * [misc]taylor: Taking taylor expansion of (* t (sqrt -6)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt -6) in t * [misc]taylor: Taking taylor expansion of -6 in t * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (* 0 (sqrt -6)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sqrt -6))) into (sqrt -6) * [misc]backup-simplify: Simplify (/ 1 (sqrt -6)) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (- (/ 1 (sqrt -6))) into (- (/ 1 (sqrt -6))) * [misc]backup-simplify: Simplify (+ (sqrt -6) (- (/ 1 (sqrt -6)))) into (- (sqrt -6) (/ 1 (sqrt -6))) * [misc]backup-simplify: Simplify (- (sqrt -6) (/ 1 (sqrt -6))) into (- (sqrt -6) (/ 1 (sqrt -6))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -6) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (sqrt -6)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 t) (/ 0 t)) (* 0 (/ 0 t)) (* 0 (/ 0 t)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 t) 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (+ (* 0 0) (* 0 -3)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt -6) 0) (+ (* 0 (/ 1 t)) (+ (* (/ 1 (sqrt -6)) 0) (* 0 (/ -1 t))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -6) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt -6)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt -6)) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -6) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 t) (/ 0 t)) (* 0 (/ 0 t)) (* 0 (/ 0 t)) (* 0 (/ 0 t)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 t) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 -3))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (+ (* (sqrt -6) 0) (+ (* 0 0) (+ (* (/ 1 (sqrt -6)) (/ 1 t)) (+ (* 0 0) (* (/ -1/2 (pow (sqrt -6) 3)) (/ -1 t)))))) into (+ (/ 1 (* t (sqrt -6))) (* 1/2 (/ 1 (* t (pow (sqrt -6) 3))))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* t (sqrt -6))) (* 1/2 (/ 1 (* t (pow (sqrt -6) 3))))) in t * [misc]taylor: Taking taylor expansion of (/ 1 (* t (sqrt -6))) in t * [misc]taylor: Taking taylor expansion of (* t (sqrt -6)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt -6) in t * [misc]taylor: Taking taylor expansion of -6 in t * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (* 0 (sqrt -6)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sqrt -6))) into (sqrt -6) * [misc]backup-simplify: Simplify (/ 1 (sqrt -6)) into (/ 1 (sqrt -6)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* t (pow (sqrt -6) 3)))) in t * [misc]taylor: Taking taylor expansion of 1/2 in t * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* t (pow (sqrt -6) 3))) in t * [misc]taylor: Taking taylor expansion of (* t (pow (sqrt -6) 3)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (sqrt -6) 3) in t * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqrt -6)))) in t * [misc]taylor: Taking taylor expansion of (* 3 (log (sqrt -6))) in t * [misc]taylor: Taking taylor expansion of 3 in t * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqrt -6)) in t * [misc]taylor: Taking taylor expansion of (sqrt -6) in t * [misc]taylor: Taking taylor expansion of -6 in t * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (log (sqrt -6)) into (log (sqrt -6)) * [misc]backup-simplify: Simplify (* 3 (log (sqrt -6))) into (* 3 (log (sqrt -6))) * [misc]backup-simplify: Simplify (exp (* 3 (log (sqrt -6)))) into (pow (sqrt -6) 3) * [misc]backup-simplify: Simplify (* 0 (pow (sqrt -6) 3)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt -6) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (sqrt -6)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (sqrt -6)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (pow (sqrt -6) 3))) into (pow (sqrt -6) 3) * [misc]backup-simplify: Simplify (/ 1 (pow (sqrt -6) 3)) into (/ 1 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (pow (sqrt -6) 3))) into (/ 1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (+ (/ 1 (sqrt -6)) (/ 1/2 (pow (sqrt -6) 3))) into (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) * [misc]backup-simplify: Simplify (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) into (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) * [misc]backup-simplify: Simplify (+ (* (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (/ 1 (/ 1 t)) (/ 1 v))) (+ (* (- (sqrt -6) (/ 1 (sqrt -6))) (* (/ 1 (/ 1 t)) (/ 1 (/ 1 v)))) (* (* -1 (sqrt -6)) (* (/ 1 (/ 1 t)) (pow (/ 1 v) -3))))) into (- (+ (/ t (* v (sqrt -6))) (+ (* 1/2 (/ t (* v (pow (sqrt -6) 3)))) (* t (* v (sqrt -6))))) (+ (* t (* (pow v 3) (sqrt -6))) (/ (* t v) (sqrt -6)))) * [misc]approximate: Taking taylor expansion of (* (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))) (* (/ 1 (- t)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in (v t) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))) (* (/ 1 (- t)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in t * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))) in t * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) 3) (/ 1 (- v))) in t * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) 3) in t * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in t * [misc]taylor: Taking taylor expansion of (- v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (/ 1 (- v)) into (/ -1 v) * [misc]taylor: Taking taylor expansion of 3 in t * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in t * [misc]taylor: Taking taylor expansion of (- v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (/ 1 (- v)) into (/ -1 v) * [misc]backup-simplify: Simplify (* (/ -1 v) 3) into (/ -3 v) * [misc]backup-simplify: Simplify (* (/ -3 v) (/ -1 v)) into (/ 3 (pow v 2)) * [misc]backup-simplify: Simplify (- (/ 3 (pow v 2))) into (- (* 3 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (+ 1 (- (* 3 (/ 1 (pow v 2))))) into (- 1 (* 3 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (* 2 (- 1 (* 3 (/ 1 (pow v 2))))) into (* 2 (- 1 (* 3 (/ 1 (pow v 2))))) * [misc]backup-simplify: Simplify (sqrt (* 2 (- 1 (* 3 (/ 1 (pow v 2)))))) into (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 v) (/ 0 (- v))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 v) (/ 0 (- v))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 v) 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -3 v) 0) (* 0 (/ -1 v))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- 1 (* 3 (/ 1 (pow v 2)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 2 (- 1 (* 3 (/ 1 (pow v 2)))))))) into 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- t)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in t * [misc]taylor: Taking taylor expansion of (/ 1 (- t)) in t * [misc]taylor: Taking taylor expansion of (- t) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in t * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in t * [misc]taylor: Taking taylor expansion of (- v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (/ 1 (- v)) into (/ -1 v) * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in t * [misc]taylor: Taking taylor expansion of (- v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (/ 1 (- v)) into (/ -1 v) * [misc]taylor: Taking taylor expansion of (* (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))) (* (/ 1 (- t)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) 3) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) 3) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 3) into -3 * [misc]backup-simplify: Simplify (* -3 -1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* 2 -3) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -3)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- t)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- t)) in v * [misc]taylor: Taking taylor expansion of (- t) in v * [misc]taylor: Taking taylor expansion of t in v * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (/ 1 (- t)) into (/ -1 t) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))) (* (/ 1 (- t)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) 3) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) 3) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 3) into -3 * [misc]backup-simplify: Simplify (* -3 -1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* 2 -3) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -3)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- t)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- t)) in v * [misc]taylor: Taking taylor expansion of (- t) in v * [misc]taylor: Taking taylor expansion of t in v * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (/ 1 (- t)) into (/ -1 t) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 t) -1) into (/ 1 t) * [misc]backup-simplify: Simplify (* (sqrt -6) (/ 1 t)) into (/ (sqrt -6) t) * [misc]taylor: Taking taylor expansion of (/ (sqrt -6) t) in t * [misc]taylor: Taking taylor expansion of (sqrt -6) in t * [misc]taylor: Taking taylor expansion of -6 in t * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sqrt -6) 1) into (sqrt -6) * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 t) (/ 0 (- t))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 t) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt -6) 0) (* 0 (/ 1 t))) into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -6) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 t) (/ 0 (- t))) (* 0 (/ 0 (- t))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 t) 1) (+ (* 0 0) (* 0 -1))) into (- (/ 1 t)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 2 1) (+ (* 0 0) (* 0 -3))) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (+ (* (sqrt -6) (- (/ 1 t))) (+ (* 0 0) (* (/ 1 (sqrt -6)) (/ 1 t)))) into (- (/ 1 (* t (sqrt -6))) (/ (sqrt -6) t)) * [misc]taylor: Taking taylor expansion of (- (/ 1 (* t (sqrt -6))) (/ (sqrt -6) t)) in t * [misc]taylor: Taking taylor expansion of (/ 1 (* t (sqrt -6))) in t * [misc]taylor: Taking taylor expansion of (* t (sqrt -6)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt -6) in t * [misc]taylor: Taking taylor expansion of -6 in t * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (* 0 (sqrt -6)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sqrt -6))) into (sqrt -6) * [misc]backup-simplify: Simplify (/ 1 (sqrt -6)) into (/ 1 (sqrt -6)) * [misc]taylor: Taking taylor expansion of (/ (sqrt -6) t) in t * [misc]taylor: Taking taylor expansion of (sqrt -6) in t * [misc]taylor: Taking taylor expansion of -6 in t * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sqrt -6) 1) into (sqrt -6) * [misc]backup-simplify: Simplify (- (sqrt -6)) into (- (sqrt -6)) * [misc]backup-simplify: Simplify (+ (/ 1 (sqrt -6)) (- (sqrt -6))) into (- (/ 1 (sqrt -6)) (sqrt -6)) * [misc]backup-simplify: Simplify (- (/ 1 (sqrt -6)) (sqrt -6)) into (- (/ 1 (sqrt -6)) (sqrt -6)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -6) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 t) (/ 0 (- t))) (* 0 (/ 0 (- t))) (* 0 (/ 0 (- t))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 t) 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (+ (* 0 0) (* 0 -3)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt -6) 0) (+ (* 0 (- (/ 1 t))) (+ (* (/ 1 (sqrt -6)) 0) (* 0 (/ 1 t))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt -6)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt -6)) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -6) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -6) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 t) (/ 0 (- t))) (* 0 (/ 0 (- t))) (* 0 (/ 0 (- t))) (* 0 (/ 0 (- t))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 t) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 -3))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (+ (* (sqrt -6) 0) (+ (* 0 0) (+ (* (/ 1 (sqrt -6)) (- (/ 1 t))) (+ (* 0 0) (* (/ -1/2 (pow (sqrt -6) 3)) (/ 1 t)))))) into (- (+ (/ 1 (* t (sqrt -6))) (* 1/2 (/ 1 (* t (pow (sqrt -6) 3)))))) * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (* t (sqrt -6))) (* 1/2 (/ 1 (* t (pow (sqrt -6) 3)))))) in t * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* t (sqrt -6))) (* 1/2 (/ 1 (* t (pow (sqrt -6) 3))))) in t * [misc]taylor: Taking taylor expansion of (/ 1 (* t (sqrt -6))) in t * [misc]taylor: Taking taylor expansion of (* t (sqrt -6)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt -6) in t * [misc]taylor: Taking taylor expansion of -6 in t * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (* 0 (sqrt -6)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sqrt -6))) into (sqrt -6) * [misc]backup-simplify: Simplify (/ 1 (sqrt -6)) into (/ 1 (sqrt -6)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* t (pow (sqrt -6) 3)))) in t * [misc]taylor: Taking taylor expansion of 1/2 in t * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* t (pow (sqrt -6) 3))) in t * [misc]taylor: Taking taylor expansion of (* t (pow (sqrt -6) 3)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (sqrt -6) 3) in t * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqrt -6)))) in t * [misc]taylor: Taking taylor expansion of (* 3 (log (sqrt -6))) in t * [misc]taylor: Taking taylor expansion of 3 in t * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqrt -6)) in t * [misc]taylor: Taking taylor expansion of (sqrt -6) in t * [misc]taylor: Taking taylor expansion of -6 in t * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (log (sqrt -6)) into (log (sqrt -6)) * [misc]backup-simplify: Simplify (* 3 (log (sqrt -6))) into (* 3 (log (sqrt -6))) * [misc]backup-simplify: Simplify (exp (* 3 (log (sqrt -6)))) into (pow (sqrt -6) 3) * [misc]backup-simplify: Simplify (* 0 (pow (sqrt -6) 3)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt -6) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (sqrt -6)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (sqrt -6)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (pow (sqrt -6) 3))) into (pow (sqrt -6) 3) * [misc]backup-simplify: Simplify (/ 1 (pow (sqrt -6) 3)) into (/ 1 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (pow (sqrt -6) 3))) into (/ 1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (+ (/ 1 (sqrt -6)) (/ 1/2 (pow (sqrt -6) 3))) into (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) * [misc]backup-simplify: Simplify (- (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3))))) into (- (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3))))) * [misc]backup-simplify: Simplify (- (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3))))) into (- (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3))))) (* (/ 1 (/ 1 (- t))) (/ 1 (- v)))) (+ (* (- (/ 1 (sqrt -6)) (sqrt -6)) (* (/ 1 (/ 1 (- t))) (/ 1 (/ 1 (- v))))) (* (sqrt -6) (* (/ 1 (/ 1 (- t))) (pow (/ 1 (- v)) -3))))) into (- (+ (* t (* (pow v 3) (sqrt -6))) (/ (* t v) (sqrt -6))) (+ (/ t (* v (sqrt -6))) (+ (* 1/2 (/ t (* v (pow (sqrt -6) 3)))) (* t (* v (sqrt -6)))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (/ (- 1 (* (* v v) 5)) PI) (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- 1 (* v v))))) in (v t) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (- 1 (* (* v v) 5)) PI) (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- 1 (* v v))))) in t * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (* v v) 5)) PI) in t * [misc]taylor: Taking taylor expansion of (- 1 (* (* v v) 5)) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* v v) 5) in t * [misc]taylor: Taking taylor expansion of (* v v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]taylor: Taking taylor expansion of 5 in t * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* v v) into (pow v 2) * [misc]backup-simplify: Simplify (* (pow v 2) 5) into (* 5 (pow v 2)) * [misc]backup-simplify: Simplify (- (* 5 (pow v 2))) into (- (* 5 (pow v 2))) * [misc]backup-simplify: Simplify (+ 1 (- (* 5 (pow v 2)))) into (- 1 (* 5 (pow v 2))) * [misc]backup-simplify: Simplify (/ (- 1 (* 5 (pow v 2))) PI) into (/ (- 1 (* 5 (pow v 2))) PI) * [misc]taylor: Taking taylor expansion of (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- 1 (* v v)))) in t * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* v 3) v)))) in t * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* v 3) v))) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* v 3) v)) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* v 3) v) in t * [misc]taylor: Taking taylor expansion of (* v 3) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]taylor: Taking taylor expansion of 3 in t * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (* v 3) into (* 3 v) * [misc]backup-simplify: Simplify (* (* 3 v) v) into (* 3 (pow v 2)) * [misc]backup-simplify: Simplify (- (* 3 (pow v 2))) into (- (* 3 (pow v 2))) * [misc]backup-simplify: Simplify (+ 1 (- (* 3 (pow v 2)))) into (- 1 (* 3 (pow v 2))) * [misc]backup-simplify: Simplify (* 2 (- 1 (* 3 (pow v 2)))) into (* 2 (- 1 (* 3 (pow v 2)))) * [misc]backup-simplify: Simplify (sqrt (* 2 (- 1 (* 3 (pow v 2))))) into (* (sqrt (- 1 (* 3 (pow v 2)))) (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* v 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 v) 0) (* 0 v)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- 1 (* 3 (pow v 2))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 2 (- 1 (* 3 (pow v 2))))))) into 0 * [misc]taylor: Taking taylor expansion of (* t (- 1 (* v v))) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (* v v) into (pow v 2) * [misc]backup-simplify: Simplify (- (pow v 2)) into (- (pow v 2)) * [misc]backup-simplify: Simplify (+ 1 (- (pow v 2))) into (- 1 (pow v 2)) * [misc]backup-simplify: Simplify (* 0 (- 1 (pow v 2))) into 0 * [misc]backup-simplify: Simplify (* (* (sqrt (- 1 (* 3 (pow v 2)))) (sqrt 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* v 0) (* 0 v)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (- 1 (pow v 2)))) into (- 1 (pow v 2)) * [misc]backup-simplify: Simplify (+ (* (* (sqrt (- 1 (* 3 (pow v 2)))) (sqrt 2)) (- 1 (pow v 2))) (* 0 0)) into (- (* (sqrt (- 1 (* 3 (pow v 2)))) (sqrt 2)) (* (sqrt (- 1 (* 3 (pow v 2)))) (* (sqrt 2) (pow v 2)))) * [misc]backup-simplify: Simplify (/ (/ (- 1 (* 5 (pow v 2))) PI) (- (* (sqrt (- 1 (* 3 (pow v 2)))) (sqrt 2)) (* (sqrt (- 1 (* 3 (pow v 2)))) (* (sqrt 2) (pow v 2))))) into (/ (- 1 (* 5 (pow v 2))) (* (- (* (sqrt (- 1 (* 3 (pow v 2)))) (sqrt 2)) (* (sqrt (- 1 (* 3 (pow v 2)))) (* (sqrt 2) (pow v 2)))) PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (- 1 (* (* v v) 5)) PI) (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- 1 (* v v))))) in v * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (* v v) 5)) PI) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (* v v) 5)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* v v) 5) in v * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 5) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- 1 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* v 3) v)))) in v * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* v 3) v))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* v 3) v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* v 3) v) in v * [misc]taylor: Taking taylor expansion of (* v 3) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 3) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 3)) into 3 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 3 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (* t (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of t in v * [misc]backup-simplify: Simplify t into t * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* t 1) into t * [misc]backup-simplify: Simplify (* (sqrt 2) t) into (* t (sqrt 2)) * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* t (sqrt 2))) into (/ 1 (* t (* (sqrt 2) PI))) * [misc]taylor: Taking taylor expansion of (/ (/ (- 1 (* (* v v) 5)) PI) (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- 1 (* v v))))) in v * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (* v v) 5)) PI) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (* v v) 5)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* v v) 5) in v * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 5) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- 1 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* v 3) v)))) in v * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* v 3) v))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* v 3) v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* v 3) v) in v * [misc]taylor: Taking taylor expansion of (* v 3) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 3) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 3)) into 3 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 3 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (* t (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of t in v * [misc]backup-simplify: Simplify t into t * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* t 1) into t * [misc]backup-simplify: Simplify (* (sqrt 2) t) into (* t (sqrt 2)) * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* t (sqrt 2))) into (/ 1 (* t (* (sqrt 2) PI))) * [misc]taylor: Taking taylor expansion of (/ 1 (* t (* (sqrt 2) PI))) in t * [misc]taylor: Taking taylor expansion of (* t (* (sqrt 2) PI)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) PI) in t * [misc]taylor: Taking taylor expansion of (sqrt 2) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (sqrt 2) PI) into (* (sqrt 2) PI) * [misc]backup-simplify: Simplify (* 0 (* (sqrt 2) PI)) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* (sqrt 2) PI))) into (* (sqrt 2) PI) * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) PI)) into (/ 1 (* (sqrt 2) PI)) * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) PI)) into (/ 1 (* (sqrt 2) PI)) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 5)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* t 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 t)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* t (sqrt 2))) (+ (* (/ 1 (* t (* (sqrt 2) PI))) (/ 0 (* t (sqrt 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* (sqrt 2) PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) PI)) (/ 0 (* (sqrt 2) PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 5))) into 5 * [misc]backup-simplify: Simplify (- 5) into -5 * [misc]backup-simplify: Simplify (+ 0 -5) into -5 * [misc]backup-simplify: Simplify (- (/ -5 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into (- (* 5 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* t -1) (+ (* 0 0) (* 0 1))) into (- t) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 1) (* 0 0))) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (+ (* 2 -3) (+ (* 0 0) (* 0 1))) into -6 * [misc]backup-simplify: Simplify (/ (- -6 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ -3 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (- t)) (+ (* 0 0) (* (/ -3 (sqrt 2)) t))) into (- (+ (* t (sqrt 2)) (* 3 (/ t (sqrt 2))))) * [misc]backup-simplify: Simplify (- (/ (- (* 5 (/ 1 PI))) (* t (sqrt 2))) (+ (* (/ 1 (* t (* (sqrt 2) PI))) (/ (- (+ (* t (sqrt 2)) (* 3 (/ t (sqrt 2))))) (* t (sqrt 2)))) (* 0 (/ 0 (* t (sqrt 2)))))) into (- (* 3 (/ 1 (* t (* (pow (sqrt 2) 3) PI)))) (* 4 (/ 1 (* t (* (sqrt 2) PI))))) * [misc]taylor: Taking taylor expansion of (- (* 3 (/ 1 (* t (* (pow (sqrt 2) 3) PI)))) (* 4 (/ 1 (* t (* (sqrt 2) PI))))) in t * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (* t (* (pow (sqrt 2) 3) PI)))) in t * [misc]taylor: Taking taylor expansion of 3 in t * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (* t (* (pow (sqrt 2) 3) PI))) in t * [misc]taylor: Taking taylor expansion of (* t (* (pow (sqrt 2) 3) PI)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (sqrt 2) 3) PI) in t * [misc]taylor: Taking taylor expansion of (pow (sqrt 2) 3) in t * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqrt 2)))) in t * [misc]taylor: Taking taylor expansion of (* 3 (log (sqrt 2))) in t * [misc]taylor: Taking taylor expansion of 3 in t * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqrt 2)) in t * [misc]taylor: Taking taylor expansion of (sqrt 2) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (log (sqrt 2)) into (log (sqrt 2)) * [misc]backup-simplify: Simplify (* 3 (log (sqrt 2))) into (* 3 (log (sqrt 2))) * [misc]backup-simplify: Simplify (exp (* 3 (log (sqrt 2)))) into (pow (sqrt 2) 3) * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (pow (sqrt 2) 3) PI) into (* (pow (sqrt 2) 3) PI) * [misc]backup-simplify: Simplify (* 0 (* (pow (sqrt 2) 3) PI)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (sqrt 2) 3) 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* (pow (sqrt 2) 3) PI))) into (* (pow (sqrt 2) 3) PI) * [misc]backup-simplify: Simplify (/ 1 (* (pow (sqrt 2) 3) PI)) into (/ 1 (* (pow (sqrt 2) 3) PI)) * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* t (* (sqrt 2) PI)))) in t * [misc]taylor: Taking taylor expansion of 4 in t * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* t (* (sqrt 2) PI))) in t * [misc]taylor: Taking taylor expansion of (* t (* (sqrt 2) PI)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) PI) in t * [misc]taylor: Taking taylor expansion of (sqrt 2) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (sqrt 2) PI) into (* (sqrt 2) PI) * [misc]backup-simplify: Simplify (* 0 (* (sqrt 2) PI)) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* (sqrt 2) PI))) into (* (sqrt 2) PI) * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) PI)) into (/ 1 (* (sqrt 2) PI)) * [misc]backup-simplify: Simplify (* 3 (/ 1 (* (pow (sqrt 2) 3) PI))) into (/ 3 (* (pow (sqrt 2) 3) PI)) * [misc]backup-simplify: Simplify (* 4 (/ 1 (* (sqrt 2) PI))) into (/ 4 (* (sqrt 2) PI)) * [misc]backup-simplify: Simplify (- (/ 4 (* (sqrt 2) PI))) into (- (* 4 (/ 1 (* (sqrt 2) PI)))) * [misc]backup-simplify: Simplify (+ (/ 3 (* (pow (sqrt 2) 3) PI)) (- (* 4 (/ 1 (* (sqrt 2) PI))))) into (- (* 3 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4 (/ 1 (* (sqrt 2) PI)))) * [misc]backup-simplify: Simplify (- (* 3 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4 (/ 1 (* (sqrt 2) PI)))) into (- (* 3 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4 (/ 1 (* (sqrt 2) PI)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* (sqrt 2) PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) PI)) (/ 0 (* (sqrt 2) PI))) (* 0 (/ 0 (* (sqrt 2) PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 5)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* (- (* 5 (/ 1 PI))) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* t 0) (+ (* 0 -1) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 -3) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -3 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 (- t)) (+ (* (/ -3 (sqrt 2)) 0) (* 0 t)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* t (sqrt 2))) (+ (* (/ 1 (* t (* (sqrt 2) PI))) (/ 0 (* t (sqrt 2)))) (* 0 (/ (- (+ (* t (sqrt 2)) (* 3 (/ t (sqrt 2))))) (* t (sqrt 2)))) (* (- (* 3 (/ 1 (* t (* (pow (sqrt 2) 3) PI)))) (* 4 (/ 1 (* t (* (sqrt 2) PI))))) (/ 0 (* t (sqrt 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (sqrt 2) 3) 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* (pow (sqrt 2) 3) PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (pow (sqrt 2) 3) PI)) (/ 0 (* (pow (sqrt 2) 3) PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (/ 1 (* (pow (sqrt 2) 3) PI)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* (sqrt 2) PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) PI)) (/ 0 (* (sqrt 2) PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ 1 (* (sqrt 2) PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt 2) PI)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) PI)) (/ 0 (* (sqrt 2) PI))) (* 0 (/ 0 (* (sqrt 2) PI))) (* 0 (/ 0 (* (sqrt 2) PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 5))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* (- (* 5 (/ 1 PI))) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* t 0) (+ (* 0 0) (+ (* 0 -1) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 -3) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ -3 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (/ -9/2 (pow (sqrt 2) 3)) * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* (/ -3 (sqrt 2)) (- t)) (+ (* 0 0) (* (/ -9/2 (pow (sqrt 2) 3)) t))))) into (- (* 3 (/ t (sqrt 2))) (* 9/2 (/ t (pow (sqrt 2) 3)))) * [misc]backup-simplify: Simplify (- (/ 0 (* t (sqrt 2))) (+ (* (/ 1 (* t (* (sqrt 2) PI))) (/ (- (* 3 (/ t (sqrt 2))) (* 9/2 (/ t (pow (sqrt 2) 3)))) (* t (sqrt 2)))) (* 0 (/ 0 (* t (sqrt 2)))) (* (- (* 3 (/ 1 (* t (* (pow (sqrt 2) 3) PI)))) (* 4 (/ 1 (* t (* (sqrt 2) PI))))) (/ (- (+ (* t (sqrt 2)) (* 3 (/ t (sqrt 2))))) (* t (sqrt 2)))) (* 0 (/ 0 (* t (sqrt 2)))))) into (- (* 27/2 (/ 1 (* t (* (pow (sqrt 2) 5) PI)))) (+ (* 12 (/ 1 (* t (* (pow (sqrt 2) 3) PI)))) (* 4 (/ 1 (* t (* (sqrt 2) PI)))))) * [misc]taylor: Taking taylor expansion of (- (* 27/2 (/ 1 (* t (* (pow (sqrt 2) 5) PI)))) (+ (* 12 (/ 1 (* t (* (pow (sqrt 2) 3) PI)))) (* 4 (/ 1 (* t (* (sqrt 2) PI)))))) in t * [misc]taylor: Taking taylor expansion of (* 27/2 (/ 1 (* t (* (pow (sqrt 2) 5) PI)))) in t * [misc]taylor: Taking taylor expansion of 27/2 in t * [misc]backup-simplify: Simplify 27/2 into 27/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* t (* (pow (sqrt 2) 5) PI))) in t * [misc]taylor: Taking taylor expansion of (* t (* (pow (sqrt 2) 5) PI)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (sqrt 2) 5) PI) in t * [misc]taylor: Taking taylor expansion of (pow (sqrt 2) 5) in t * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (sqrt 2)))) in t * [misc]taylor: Taking taylor expansion of (* 5 (log (sqrt 2))) in t * [misc]taylor: Taking taylor expansion of 5 in t * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (sqrt 2)) in t * [misc]taylor: Taking taylor expansion of (sqrt 2) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (log (sqrt 2)) into (log (sqrt 2)) * [misc]backup-simplify: Simplify (* 5 (log (sqrt 2))) into (* 5 (log (sqrt 2))) * [misc]backup-simplify: Simplify (exp (* 5 (log (sqrt 2)))) into (pow (sqrt 2) 5) * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (pow (sqrt 2) 5) PI) into (* (pow (sqrt 2) 5) PI) * [misc]backup-simplify: Simplify (* 0 (* (pow (sqrt 2) 5) PI)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (* 0 (log (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 5 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (sqrt 2) 5) 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* (pow (sqrt 2) 5) PI))) into (* (pow (sqrt 2) 5) PI) * [misc]backup-simplify: Simplify (/ 1 (* (pow (sqrt 2) 5) PI)) into (/ 1 (* (pow (sqrt 2) 5) PI)) * [misc]taylor: Taking taylor expansion of (+ (* 12 (/ 1 (* t (* (pow (sqrt 2) 3) PI)))) (* 4 (/ 1 (* t (* (sqrt 2) PI))))) in t * [misc]taylor: Taking taylor expansion of (* 12 (/ 1 (* t (* (pow (sqrt 2) 3) PI)))) in t * [misc]taylor: Taking taylor expansion of 12 in t * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ 1 (* t (* (pow (sqrt 2) 3) PI))) in t * [misc]taylor: Taking taylor expansion of (* t (* (pow (sqrt 2) 3) PI)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (sqrt 2) 3) PI) in t * [misc]taylor: Taking taylor expansion of (pow (sqrt 2) 3) in t * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqrt 2)))) in t * [misc]taylor: Taking taylor expansion of (* 3 (log (sqrt 2))) in t * [misc]taylor: Taking taylor expansion of 3 in t * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqrt 2)) in t * [misc]taylor: Taking taylor expansion of (sqrt 2) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (log (sqrt 2)) into (log (sqrt 2)) * [misc]backup-simplify: Simplify (* 3 (log (sqrt 2))) into (* 3 (log (sqrt 2))) * [misc]backup-simplify: Simplify (exp (* 3 (log (sqrt 2)))) into (pow (sqrt 2) 3) * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (pow (sqrt 2) 3) PI) into (* (pow (sqrt 2) 3) PI) * [misc]backup-simplify: Simplify (* 0 (* (pow (sqrt 2) 3) PI)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (sqrt 2) 3) 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* (pow (sqrt 2) 3) PI))) into (* (pow (sqrt 2) 3) PI) * [misc]backup-simplify: Simplify (/ 1 (* (pow (sqrt 2) 3) PI)) into (/ 1 (* (pow (sqrt 2) 3) PI)) * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* t (* (sqrt 2) PI)))) in t * [misc]taylor: Taking taylor expansion of 4 in t * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* t (* (sqrt 2) PI))) in t * [misc]taylor: Taking taylor expansion of (* t (* (sqrt 2) PI)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) PI) in t * [misc]taylor: Taking taylor expansion of (sqrt 2) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (sqrt 2) PI) into (* (sqrt 2) PI) * [misc]backup-simplify: Simplify (* 0 (* (sqrt 2) PI)) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* (sqrt 2) PI))) into (* (sqrt 2) PI) * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) PI)) into (/ 1 (* (sqrt 2) PI)) * [misc]backup-simplify: Simplify (* 27/2 (/ 1 (* (pow (sqrt 2) 5) PI))) into (/ 27/2 (* (pow (sqrt 2) 5) PI)) * [misc]backup-simplify: Simplify (* 12 (/ 1 (* (pow (sqrt 2) 3) PI))) into (/ 12 (* (pow (sqrt 2) 3) PI)) * [misc]backup-simplify: Simplify (* 4 (/ 1 (* (sqrt 2) PI))) into (/ 4 (* (sqrt 2) PI)) * [misc]backup-simplify: Simplify (+ (/ 12 (* (pow (sqrt 2) 3) PI)) (/ 4 (* (sqrt 2) PI))) into (+ (* 12 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4 (/ 1 (* (sqrt 2) PI)))) * [misc]backup-simplify: Simplify (- (+ (* 12 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4 (/ 1 (* (sqrt 2) PI))))) into (- (+ (* 12 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4 (/ 1 (* (sqrt 2) PI))))) * [misc]backup-simplify: Simplify (+ (/ 27/2 (* (pow (sqrt 2) 5) PI)) (- (+ (* 12 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4 (/ 1 (* (sqrt 2) PI)))))) into (- (* 27/2 (/ 1 (* (pow (sqrt 2) 5) PI))) (+ (* 12 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4 (/ 1 (* (sqrt 2) PI))))) * [misc]backup-simplify: Simplify (- (* 27/2 (/ 1 (* (pow (sqrt 2) 5) PI))) (+ (* 12 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4 (/ 1 (* (sqrt 2) PI))))) into (- (* 27/2 (/ 1 (* (pow (sqrt 2) 5) PI))) (+ (* 12 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4 (/ 1 (* (sqrt 2) PI))))) * [misc]backup-simplify: Simplify (+ (* (- (* 27/2 (/ 1 (* (pow (sqrt 2) 5) PI))) (+ (* 12 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4 (/ 1 (* (sqrt 2) PI))))) (* (/ 1 t) (pow v 4))) (+ (* (- (* 3 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4 (/ 1 (* (sqrt 2) PI)))) (* (/ 1 t) (pow v 2))) (* (/ 1 (* (sqrt 2) PI)) (* (/ 1 t) 1)))) into (- (+ (/ 1 (* t (* (sqrt 2) PI))) (+ (* 3 (/ (pow v 2) (* t (* (pow (sqrt 2) 3) PI)))) (* 27/2 (/ (pow v 4) (* t (* (pow (sqrt 2) 5) PI)))))) (+ (* 4 (/ (pow v 4) (* t (* (sqrt 2) PI)))) (+ (* 4 (/ (pow v 2) (* t (* (sqrt 2) PI)))) (* 12 (/ (pow v 4) (* t (* (pow (sqrt 2) 3) PI))))))) * [misc]approximate: Taking taylor expansion of (/ (/ (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) PI) (* (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))) (* (/ 1 t) (- 1 (* (/ 1 v) (/ 1 v)))))) in (v t) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) PI) (* (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))) (* (/ 1 t) (- 1 (* (/ 1 v) (/ 1 v)))))) in t * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) PI) in t * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) (/ 1 v)) 5) in t * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in t * [misc]taylor: Taking taylor expansion of (/ 1 v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (/ 1 v) into (/ 1 v) * [misc]taylor: Taking taylor expansion of (/ 1 v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (/ 1 v) into (/ 1 v) * [misc]taylor: Taking taylor expansion of 5 in t * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (/ 1 v) (/ 1 v)) into (/ 1 (pow v 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow v 2)) 5) into (/ 5 (pow v 2)) * [misc]backup-simplify: Simplify (- (/ 5 (pow v 2))) into (- (* 5 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (+ 1 (- (* 5 (/ 1 (pow v 2))))) into (- 1 (* 5 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (/ (- 1 (* 5 (/ 1 (pow v 2)))) PI) into (/ (- 1 (* 5 (/ 1 (pow v 2)))) PI) * [misc]taylor: Taking taylor expansion of (* (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))) (* (/ 1 t) (- 1 (* (/ 1 v) (/ 1 v))))) in t * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))) in t * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 v) 3) (/ 1 v))) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) 3) (/ 1 v)) in t * [misc]taylor: Taking taylor expansion of (* (/ 1 v) 3) in t * [misc]taylor: Taking taylor expansion of (/ 1 v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (/ 1 v) into (/ 1 v) * [misc]taylor: Taking taylor expansion of 3 in t * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (/ 1 v) into (/ 1 v) * [misc]backup-simplify: Simplify (* (/ 1 v) 3) into (/ 3 v) * [misc]backup-simplify: Simplify (* (/ 3 v) (/ 1 v)) into (/ 3 (pow v 2)) * [misc]backup-simplify: Simplify (- (/ 3 (pow v 2))) into (- (* 3 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (+ 1 (- (* 3 (/ 1 (pow v 2))))) into (- 1 (* 3 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (* 2 (- 1 (* 3 (/ 1 (pow v 2))))) into (* 2 (- 1 (* 3 (/ 1 (pow v 2))))) * [misc]backup-simplify: Simplify (sqrt (* 2 (- 1 (* 3 (/ 1 (pow v 2)))))) into (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 v) (/ 0 v)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 v) (/ 0 v)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 v) 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 3 v) 0) (* 0 (/ 1 v))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- 1 (* 3 (/ 1 (pow v 2)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 2 (- 1 (* 3 (/ 1 (pow v 2)))))))) into 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 t) (- 1 (* (/ 1 v) (/ 1 v)))) in t * [misc]taylor: Taking taylor expansion of (/ 1 t) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in t * [misc]taylor: Taking taylor expansion of (/ 1 v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (/ 1 v) into (/ 1 v) * [misc]taylor: Taking taylor expansion of (/ 1 v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (/ 1 v) into (/ 1 v) * [misc]backup-simplify: Simplify (* (/ 1 v) (/ 1 v)) into (/ 1 (pow v 2)) * [misc]backup-simplify: Simplify (- (/ 1 (pow v 2))) into (- (/ 1 (pow v 2))) * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 (pow v 2)))) into (- 1 (/ 1 (pow v 2))) * [misc]backup-simplify: Simplify (* 1 (- 1 (/ 1 (pow v 2)))) into (- 1 (/ 1 (pow v 2))) * [misc]backup-simplify: Simplify (* (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))) (- 1 (/ 1 (pow v 2)))) into (* (* (sqrt 2) (- 1 (/ 1 (pow v 2)))) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))) * [misc]backup-simplify: Simplify (/ (/ (- 1 (* 5 (/ 1 (pow v 2)))) PI) (* (* (sqrt 2) (- 1 (/ 1 (pow v 2)))) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) into (* (/ (- 1 (* 5 (/ 1 (pow v 2)))) (* (sqrt 2) (* (- 1 (/ 1 (pow v 2))) PI))) (sqrt (/ 1 (- 1 (* 3 (/ 1 (pow v 2))))))) * [misc]taylor: Taking taylor expansion of (/ (/ (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) PI) (* (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))) (* (/ 1 t) (- 1 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) PI) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) (/ 1 v)) 5) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 5) into 5 * [misc]backup-simplify: Simplify (- 5) into -5 * [misc]backup-simplify: Simplify (+ 0 -5) into -5 * [misc]backup-simplify: Simplify (/ -5 PI) into (/ -5 PI) * [misc]taylor: Taking taylor expansion of (* (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))) (* (/ 1 t) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 v) 3) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) 3) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) 3) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 3) into 3 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* 2 -3) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -3)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 t) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 1 t) in v * [misc]taylor: Taking taylor expansion of t in v * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (/ 1 t) into (/ 1 t) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ 1 t) -1) into (/ -1 t) * [misc]backup-simplify: Simplify (* (sqrt -6) (/ -1 t)) into (* -1 (/ (sqrt -6) t)) * [misc]backup-simplify: Simplify (/ (/ -5 PI) (* -1 (/ (sqrt -6) t))) into (* 5 (/ t (* (sqrt -6) PI))) * [misc]taylor: Taking taylor expansion of (/ (/ (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) PI) (* (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))) (* (/ 1 t) (- 1 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) PI) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) (/ 1 v)) 5) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 5) into 5 * [misc]backup-simplify: Simplify (- 5) into -5 * [misc]backup-simplify: Simplify (+ 0 -5) into -5 * [misc]backup-simplify: Simplify (/ -5 PI) into (/ -5 PI) * [misc]taylor: Taking taylor expansion of (* (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))) (* (/ 1 t) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 v) 3) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) 3) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) 3) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 3) into 3 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* 2 -3) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -3)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 t) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 1 t) in v * [misc]taylor: Taking taylor expansion of t in v * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (/ 1 t) into (/ 1 t) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ 1 t) -1) into (/ -1 t) * [misc]backup-simplify: Simplify (* (sqrt -6) (/ -1 t)) into (* -1 (/ (sqrt -6) t)) * [misc]backup-simplify: Simplify (/ (/ -5 PI) (* -1 (/ (sqrt -6) t))) into (* 5 (/ t (* (sqrt -6) PI))) * [misc]taylor: Taking taylor expansion of (* 5 (/ t (* (sqrt -6) PI))) in t * [misc]taylor: Taking taylor expansion of 5 in t * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (/ t (* (sqrt -6) PI)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sqrt -6) PI) in t * [misc]taylor: Taking taylor expansion of (sqrt -6) in t * [misc]taylor: Taking taylor expansion of -6 in t * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (sqrt -6) PI) into (* (sqrt -6) PI) * [misc]backup-simplify: Simplify (/ 1 (* (sqrt -6) PI)) into (/ 1 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (* 5 (/ 1 (* (sqrt -6) PI))) into (/ 5 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (/ 5 (* (sqrt -6) PI)) into (/ 5 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 5)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -5 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 t) (/ 0 t)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 t) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt -6) 0) (* 0 (/ -1 t))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -1 (/ (sqrt -6) t))) (+ (* (* 5 (/ t (* (sqrt -6) PI))) (/ 0 (* -1 (/ (sqrt -6) t)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt -6) 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt -6) PI)) (+ (* (/ 1 (* (sqrt -6) PI)) (/ 0 (* (sqrt -6) PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (* 0 (/ 1 (* (sqrt -6) PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 5))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 PI) (+ (* (/ -5 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into (/ 1 PI) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 t) (/ 0 t)) (* 0 (/ 0 t)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 t) 1) (+ (* 0 0) (* 0 -1))) into (/ 1 t) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 2 1) (+ (* 0 0) (* 0 -3))) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (+ (* (sqrt -6) (/ 1 t)) (+ (* 0 0) (* (/ 1 (sqrt -6)) (/ -1 t)))) into (- (/ (sqrt -6) t) (/ 1 (* t (sqrt -6)))) * [misc]backup-simplify: Simplify (- (/ (/ 1 PI) (* -1 (/ (sqrt -6) t))) (+ (* (* 5 (/ t (* (sqrt -6) PI))) (/ (- (/ (sqrt -6) t) (/ 1 (* t (sqrt -6)))) (* -1 (/ (sqrt -6) t)))) (* 0 (/ 0 (* -1 (/ (sqrt -6) t)))))) into (- (* 4 (/ t (* (sqrt -6) PI))) (* 5 (/ t (* (pow (sqrt -6) 3) PI)))) * [misc]taylor: Taking taylor expansion of (- (* 4 (/ t (* (sqrt -6) PI))) (* 5 (/ t (* (pow (sqrt -6) 3) PI)))) in t * [misc]taylor: Taking taylor expansion of (* 4 (/ t (* (sqrt -6) PI))) in t * [misc]taylor: Taking taylor expansion of 4 in t * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ t (* (sqrt -6) PI)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sqrt -6) PI) in t * [misc]taylor: Taking taylor expansion of (sqrt -6) in t * [misc]taylor: Taking taylor expansion of -6 in t * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (sqrt -6) PI) into (* (sqrt -6) PI) * [misc]backup-simplify: Simplify (/ 1 (* (sqrt -6) PI)) into (/ 1 (* (sqrt -6) PI)) * [misc]taylor: Taking taylor expansion of (* 5 (/ t (* (pow (sqrt -6) 3) PI))) in t * [misc]taylor: Taking taylor expansion of 5 in t * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (/ t (* (pow (sqrt -6) 3) PI)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (sqrt -6) 3) PI) in t * [misc]taylor: Taking taylor expansion of (pow (sqrt -6) 3) in t * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqrt -6)))) in t * [misc]taylor: Taking taylor expansion of (* 3 (log (sqrt -6))) in t * [misc]taylor: Taking taylor expansion of 3 in t * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqrt -6)) in t * [misc]taylor: Taking taylor expansion of (sqrt -6) in t * [misc]taylor: Taking taylor expansion of -6 in t * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (log (sqrt -6)) into (log (sqrt -6)) * [misc]backup-simplify: Simplify (* 3 (log (sqrt -6))) into (* 3 (log (sqrt -6))) * [misc]backup-simplify: Simplify (exp (* 3 (log (sqrt -6)))) into (pow (sqrt -6) 3) * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (pow (sqrt -6) 3) PI) into (* (pow (sqrt -6) 3) PI) * [misc]backup-simplify: Simplify (/ 1 (* (pow (sqrt -6) 3) PI)) into (/ 1 (* (pow (sqrt -6) 3) PI)) * [misc]backup-simplify: Simplify (* 4 (/ 1 (* (sqrt -6) PI))) into (/ 4 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (* 5 (/ 1 (* (pow (sqrt -6) 3) PI))) into (/ 5 (* (pow (sqrt -6) 3) PI)) * [misc]backup-simplify: Simplify (- (/ 5 (* (pow (sqrt -6) 3) PI))) into (- (* 5 (/ 1 (* (pow (sqrt -6) 3) PI)))) * [misc]backup-simplify: Simplify (+ (/ 4 (* (sqrt -6) PI)) (- (* 5 (/ 1 (* (pow (sqrt -6) 3) PI))))) into (- (* 4 (/ 1 (* (sqrt -6) PI))) (* 5 (/ 1 (* (pow (sqrt -6) 3) PI)))) * [misc]backup-simplify: Simplify (- (* 4 (/ 1 (* (sqrt -6) PI))) (* 5 (/ 1 (* (pow (sqrt -6) 3) PI)))) into (- (* 4 (/ 1 (* (sqrt -6) PI))) (* 5 (/ 1 (* (pow (sqrt -6) 3) PI)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt -6) 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt -6) PI)) (+ (* (/ 1 (* (sqrt -6) PI)) (/ 0 (* (sqrt -6) PI))) (* 0 (/ 0 (* (sqrt -6) PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (+ (* 0 0) (* 0 (/ 1 (* (sqrt -6) PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 5)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -5 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 t) (/ 0 t)) (* 0 (/ 0 t)) (* 0 (/ 0 t)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 t) 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (+ (* 0 0) (* 0 -3)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt -6) 0) (+ (* 0 (/ 1 t)) (+ (* (/ 1 (sqrt -6)) 0) (* 0 (/ -1 t))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -1 (/ (sqrt -6) t))) (+ (* (* 5 (/ t (* (sqrt -6) PI))) (/ 0 (* -1 (/ (sqrt -6) t)))) (* 0 (/ (- (/ (sqrt -6) t) (/ 1 (* t (sqrt -6)))) (* -1 (/ (sqrt -6) t)))) (* (- (* 4 (/ t (* (sqrt -6) PI))) (* 5 (/ t (* (pow (sqrt -6) 3) PI)))) (/ 0 (* -1 (/ (sqrt -6) t)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt -6) 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt -6) PI)) (+ (* (/ 1 (* (sqrt -6) PI)) (/ 0 (* (sqrt -6) PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ 1 (* (sqrt -6) PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt -6) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (sqrt -6)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (sqrt -6)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (sqrt -6) 3) 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (pow (sqrt -6) 3) PI)) (+ (* (/ 1 (* (pow (sqrt -6) 3) PI)) (/ 0 (* (pow (sqrt -6) 3) PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (* 0 (/ 1 (* (pow (sqrt -6) 3) PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt -6) 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt -6) PI)) (+ (* (/ 1 (* (sqrt -6) PI)) (/ 0 (* (sqrt -6) PI))) (* 0 (/ 0 (* (sqrt -6) PI))) (* 0 (/ 0 (* (sqrt -6) PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (sqrt -6) PI)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- (* 4 (/ 1 (* (sqrt -6) PI))) (* 5 (/ 1 (* (pow (sqrt -6) 3) PI)))) (* (/ 1 t) (pow (/ 1 v) 3))) (* (/ 5 (* (sqrt -6) PI)) (* (/ 1 t) (/ 1 v)))) into (- (+ (* 4 (/ 1 (* t (* (pow v 3) (* (sqrt -6) PI))))) (* 5 (/ 1 (* t (* v (* (sqrt -6) PI)))))) (* 5 (/ 1 (* t (* (pow v 3) (* (pow (sqrt -6) 3) PI)))))) * [misc]approximate: Taking taylor expansion of (/ (/ (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) PI) (* (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))) (* (/ 1 (- t)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))))) in (v t) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) PI) (* (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))) (* (/ 1 (- t)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))))) in t * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) PI) in t * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) (/ 1 (- v))) 5) in t * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in t * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in t * [misc]taylor: Taking taylor expansion of (- v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (/ 1 (- v)) into (/ -1 v) * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in t * [misc]taylor: Taking taylor expansion of (- v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (/ 1 (- v)) into (/ -1 v) * [misc]taylor: Taking taylor expansion of 5 in t * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (/ -1 v) (/ -1 v)) into (/ 1 (pow v 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow v 2)) 5) into (/ 5 (pow v 2)) * [misc]backup-simplify: Simplify (- (/ 5 (pow v 2))) into (- (* 5 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (+ 1 (- (* 5 (/ 1 (pow v 2))))) into (- 1 (* 5 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (/ (- 1 (* 5 (/ 1 (pow v 2)))) PI) into (/ (- 1 (* 5 (/ 1 (pow v 2)))) PI) * [misc]taylor: Taking taylor expansion of (* (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))) (* (/ 1 (- t)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in t * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))) in t * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) 3) (/ 1 (- v))) in t * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) 3) in t * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in t * [misc]taylor: Taking taylor expansion of (- v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (/ 1 (- v)) into (/ -1 v) * [misc]taylor: Taking taylor expansion of 3 in t * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in t * [misc]taylor: Taking taylor expansion of (- v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (/ 1 (- v)) into (/ -1 v) * [misc]backup-simplify: Simplify (* (/ -1 v) 3) into (/ -3 v) * [misc]backup-simplify: Simplify (* (/ -3 v) (/ -1 v)) into (/ 3 (pow v 2)) * [misc]backup-simplify: Simplify (- (/ 3 (pow v 2))) into (- (* 3 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (+ 1 (- (* 3 (/ 1 (pow v 2))))) into (- 1 (* 3 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (* 2 (- 1 (* 3 (/ 1 (pow v 2))))) into (* 2 (- 1 (* 3 (/ 1 (pow v 2))))) * [misc]backup-simplify: Simplify (sqrt (* 2 (- 1 (* 3 (/ 1 (pow v 2)))))) into (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 v) (/ 0 (- v))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 v) (/ 0 (- v))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 v) 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -3 v) 0) (* 0 (/ -1 v))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- 1 (* 3 (/ 1 (pow v 2)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 2 (- 1 (* 3 (/ 1 (pow v 2)))))))) into 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- t)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in t * [misc]taylor: Taking taylor expansion of (/ 1 (- t)) in t * [misc]taylor: Taking taylor expansion of (- t) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in t * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in t * [misc]taylor: Taking taylor expansion of (- v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (/ 1 (- v)) into (/ -1 v) * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in t * [misc]taylor: Taking taylor expansion of (- v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (/ 1 (- v)) into (/ -1 v) * [misc]backup-simplify: Simplify (* (/ -1 v) (/ -1 v)) into (/ 1 (pow v 2)) * [misc]backup-simplify: Simplify (- (/ 1 (pow v 2))) into (- (/ 1 (pow v 2))) * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 (pow v 2)))) into (- 1 (/ 1 (pow v 2))) * [misc]backup-simplify: Simplify (* -1 (- 1 (/ 1 (pow v 2)))) into (* -1 (- 1 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (* (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))) (* -1 (- 1 (/ 1 (pow v 2))))) into (* -1 (* (* (sqrt 2) (- 1 (/ 1 (pow v 2)))) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) * [misc]backup-simplify: Simplify (/ (/ (- 1 (* 5 (/ 1 (pow v 2)))) PI) (* -1 (* (* (sqrt 2) (- 1 (/ 1 (pow v 2)))) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))))) into (* -1 (* (/ (- 1 (* 5 (/ 1 (pow v 2)))) (* (sqrt 2) (* (- 1 (/ 1 (pow v 2))) PI))) (sqrt (/ 1 (- 1 (* 3 (/ 1 (pow v 2)))))))) * [misc]taylor: Taking taylor expansion of (/ (/ (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) PI) (* (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))) (* (/ 1 (- t)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) PI) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) (/ 1 (- v))) 5) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 5) into 5 * [misc]backup-simplify: Simplify (- 5) into -5 * [misc]backup-simplify: Simplify (+ 0 -5) into -5 * [misc]backup-simplify: Simplify (/ -5 PI) into (/ -5 PI) * [misc]taylor: Taking taylor expansion of (* (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))) (* (/ 1 (- t)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) 3) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) 3) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 3) into -3 * [misc]backup-simplify: Simplify (* -3 -1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* 2 -3) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -3)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- t)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- t)) in v * [misc]taylor: Taking taylor expansion of (- t) in v * [misc]taylor: Taking taylor expansion of t in v * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (/ 1 (- t)) into (/ -1 t) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 t) -1) into (/ 1 t) * [misc]backup-simplify: Simplify (* (sqrt -6) (/ 1 t)) into (/ (sqrt -6) t) * [misc]backup-simplify: Simplify (/ (/ -5 PI) (/ (sqrt -6) t)) into (* -5 (/ t (* (sqrt -6) PI))) * [misc]taylor: Taking taylor expansion of (/ (/ (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) PI) (* (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))) (* (/ 1 (- t)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) PI) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) (/ 1 (- v))) 5) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 5) into 5 * [misc]backup-simplify: Simplify (- 5) into -5 * [misc]backup-simplify: Simplify (+ 0 -5) into -5 * [misc]backup-simplify: Simplify (/ -5 PI) into (/ -5 PI) * [misc]taylor: Taking taylor expansion of (* (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))) (* (/ 1 (- t)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) 3) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) 3) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 3) into -3 * [misc]backup-simplify: Simplify (* -3 -1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* 2 -3) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -3)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- t)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- t)) in v * [misc]taylor: Taking taylor expansion of (- t) in v * [misc]taylor: Taking taylor expansion of t in v * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (/ 1 (- t)) into (/ -1 t) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 t) -1) into (/ 1 t) * [misc]backup-simplify: Simplify (* (sqrt -6) (/ 1 t)) into (/ (sqrt -6) t) * [misc]backup-simplify: Simplify (/ (/ -5 PI) (/ (sqrt -6) t)) into (* -5 (/ t (* (sqrt -6) PI))) * [misc]taylor: Taking taylor expansion of (* -5 (/ t (* (sqrt -6) PI))) in t * [misc]taylor: Taking taylor expansion of -5 in t * [misc]backup-simplify: Simplify -5 into -5 * [misc]taylor: Taking taylor expansion of (/ t (* (sqrt -6) PI)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sqrt -6) PI) in t * [misc]taylor: Taking taylor expansion of (sqrt -6) in t * [misc]taylor: Taking taylor expansion of -6 in t * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (sqrt -6) PI) into (* (sqrt -6) PI) * [misc]backup-simplify: Simplify (/ 1 (* (sqrt -6) PI)) into (/ 1 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (* -5 (/ 1 (* (sqrt -6) PI))) into (/ -5 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (/ -5 (* (sqrt -6) PI)) into (/ -5 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 5)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -5 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 t) (/ 0 (- t))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 t) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt -6) 0) (* 0 (/ 1 t))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ (sqrt -6) t)) (+ (* (* -5 (/ t (* (sqrt -6) PI))) (/ 0 (/ (sqrt -6) t))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt -6) 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt -6) PI)) (+ (* (/ 1 (* (sqrt -6) PI)) (/ 0 (* (sqrt -6) PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* -5 0) (* 0 (/ 1 (* (sqrt -6) PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 5))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 PI) (+ (* (/ -5 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into (/ 1 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 t) (/ 0 (- t))) (* 0 (/ 0 (- t))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 t) 1) (+ (* 0 0) (* 0 -1))) into (- (/ 1 t)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 2 1) (+ (* 0 0) (* 0 -3))) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (+ (* (sqrt -6) (- (/ 1 t))) (+ (* 0 0) (* (/ 1 (sqrt -6)) (/ 1 t)))) into (- (/ 1 (* t (sqrt -6))) (/ (sqrt -6) t)) * [misc]backup-simplify: Simplify (- (/ (/ 1 PI) (/ (sqrt -6) t)) (+ (* (* -5 (/ t (* (sqrt -6) PI))) (/ (- (/ 1 (* t (sqrt -6))) (/ (sqrt -6) t)) (/ (sqrt -6) t))) (* 0 (/ 0 (/ (sqrt -6) t))))) into (- (* 5 (/ t (* (pow (sqrt -6) 3) PI))) (* 4 (/ t (* (sqrt -6) PI)))) * [misc]taylor: Taking taylor expansion of (- (* 5 (/ t (* (pow (sqrt -6) 3) PI))) (* 4 (/ t (* (sqrt -6) PI)))) in t * [misc]taylor: Taking taylor expansion of (* 5 (/ t (* (pow (sqrt -6) 3) PI))) in t * [misc]taylor: Taking taylor expansion of 5 in t * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (/ t (* (pow (sqrt -6) 3) PI)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (sqrt -6) 3) PI) in t * [misc]taylor: Taking taylor expansion of (pow (sqrt -6) 3) in t * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqrt -6)))) in t * [misc]taylor: Taking taylor expansion of (* 3 (log (sqrt -6))) in t * [misc]taylor: Taking taylor expansion of 3 in t * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqrt -6)) in t * [misc]taylor: Taking taylor expansion of (sqrt -6) in t * [misc]taylor: Taking taylor expansion of -6 in t * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (log (sqrt -6)) into (log (sqrt -6)) * [misc]backup-simplify: Simplify (* 3 (log (sqrt -6))) into (* 3 (log (sqrt -6))) * [misc]backup-simplify: Simplify (exp (* 3 (log (sqrt -6)))) into (pow (sqrt -6) 3) * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (pow (sqrt -6) 3) PI) into (* (pow (sqrt -6) 3) PI) * [misc]backup-simplify: Simplify (/ 1 (* (pow (sqrt -6) 3) PI)) into (/ 1 (* (pow (sqrt -6) 3) PI)) * [misc]taylor: Taking taylor expansion of (* 4 (/ t (* (sqrt -6) PI))) in t * [misc]taylor: Taking taylor expansion of 4 in t * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ t (* (sqrt -6) PI)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sqrt -6) PI) in t * [misc]taylor: Taking taylor expansion of (sqrt -6) in t * [misc]taylor: Taking taylor expansion of -6 in t * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (sqrt -6) PI) into (* (sqrt -6) PI) * [misc]backup-simplify: Simplify (/ 1 (* (sqrt -6) PI)) into (/ 1 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (* 5 (/ 1 (* (pow (sqrt -6) 3) PI))) into (/ 5 (* (pow (sqrt -6) 3) PI)) * [misc]backup-simplify: Simplify (* 4 (/ 1 (* (sqrt -6) PI))) into (/ 4 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (- (/ 4 (* (sqrt -6) PI))) into (- (* 4 (/ 1 (* (sqrt -6) PI)))) * [misc]backup-simplify: Simplify (+ (/ 5 (* (pow (sqrt -6) 3) PI)) (- (* 4 (/ 1 (* (sqrt -6) PI))))) into (- (* 5 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4 (/ 1 (* (sqrt -6) PI)))) * [misc]backup-simplify: Simplify (- (* 5 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4 (/ 1 (* (sqrt -6) PI)))) into (- (* 5 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4 (/ 1 (* (sqrt -6) PI)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt -6) 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt -6) PI)) (+ (* (/ 1 (* (sqrt -6) PI)) (/ 0 (* (sqrt -6) PI))) (* 0 (/ 0 (* (sqrt -6) PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* -5 0) (+ (* 0 0) (* 0 (/ 1 (* (sqrt -6) PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 5)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -5 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 t) (/ 0 (- t))) (* 0 (/ 0 (- t))) (* 0 (/ 0 (- t))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 t) 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (+ (* 0 0) (* 0 -3)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt -6) 0) (+ (* 0 (- (/ 1 t))) (+ (* (/ 1 (sqrt -6)) 0) (* 0 (/ 1 t))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ (sqrt -6) t)) (+ (* (* -5 (/ t (* (sqrt -6) PI))) (/ 0 (/ (sqrt -6) t))) (* 0 (/ (- (/ 1 (* t (sqrt -6))) (/ (sqrt -6) t)) (/ (sqrt -6) t))) (* (- (* 5 (/ t (* (pow (sqrt -6) 3) PI))) (* 4 (/ t (* (sqrt -6) PI)))) (/ 0 (/ (sqrt -6) t))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt -6) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (sqrt -6)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (sqrt -6)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (sqrt -6) 3) 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (pow (sqrt -6) 3) PI)) (+ (* (/ 1 (* (pow (sqrt -6) 3) PI)) (/ 0 (* (pow (sqrt -6) 3) PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (* 0 (/ 1 (* (pow (sqrt -6) 3) PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt -6) 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt -6) PI)) (+ (* (/ 1 (* (sqrt -6) PI)) (/ 0 (* (sqrt -6) PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ 1 (* (sqrt -6) PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt -6) 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt -6) PI)) (+ (* (/ 1 (* (sqrt -6) PI)) (/ 0 (* (sqrt -6) PI))) (* 0 (/ 0 (* (sqrt -6) PI))) (* 0 (/ 0 (* (sqrt -6) PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* -5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (sqrt -6) PI)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- (* 5 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4 (/ 1 (* (sqrt -6) PI)))) (* (/ 1 (- t)) (pow (/ 1 (- v)) 3))) (* (/ -5 (* (sqrt -6) PI)) (* (/ 1 (- t)) (/ 1 (- v))))) into (- (* 5 (/ 1 (* t (* (pow v 3) (* (pow (sqrt -6) 3) PI))))) (+ (* 4 (/ 1 (* t (* (pow v 3) (* (sqrt -6) PI))))) (* 5 (/ 1 (* t (* v (* (sqrt -6) PI))))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 2) * [misc]approximate: Taking taylor expansion of (* (* v v) 5) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* v v) 5) in v * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (* (* v v) 5) in v * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 5) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 5)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 5))) into 5 * [misc]backup-simplify: Simplify 5 into 5 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 5)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 5))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 5)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 5))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 5)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 5))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 5 (pow v 2)) into (* 5 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 v) (/ 1 v)) 5) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) (/ 1 v)) 5) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) (/ 1 v)) 5) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 5) into 5 * [misc]backup-simplify: Simplify 5 into 5 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 5)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 5))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 5)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 5))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 5)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 5))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 5 (pow (/ 1 (/ 1 v)) 2)) into (* 5 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 (- v)) (/ 1 (- v))) 5) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) (/ 1 (- v))) 5) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) (/ 1 (- v))) 5) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 5) into 5 * [misc]backup-simplify: Simplify 5 into 5 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 5)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 5))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 5)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 5))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 5)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 5))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 5 (pow (/ 1 (/ 1 (- v))) 2)) into (* 5 (pow v 2)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 1 2 2) * [misc]approximate: Taking taylor expansion of (* (* v 3) v) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* v 3) v) in v * [misc]taylor: Taking taylor expansion of (* v 3) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* v 3) v) in v * [misc]taylor: Taking taylor expansion of (* v 3) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 3) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 3)) into 3 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 3 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 1) (* 0 0))) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 3 (pow v 2)) into (* 3 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 v) 3) (/ 1 v)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) 3) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) 3) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) 3) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) 3) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 3) into 3 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 3 (pow (/ 1 (/ 1 v)) 2)) into (* 3 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 (- v)) 3) (/ 1 (- v))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) 3) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) 3) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) 3) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) 3) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 3) into -3 * [misc]backup-simplify: Simplify (* -3 -1) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 3 (pow (/ 1 (/ 1 (- v))) 2)) into (* 3 (pow v 2)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (312 enodes) * [exit]simplify: Simplified to (* (- t (* (* v v) t)) (sqrt (- 2 (* (* v v) (* 3 2))))) * [misc]simplify: Simplified (2 2 1) to (λ (v t) (/ (/ (- 1 (* (* v v) 5)) PI) (pow (* (- t (* (* v v) t)) (sqrt (- 2 (* (* v v) (* 3 2))))) 1))) * * * * [misc]progress: [ 2 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (* 2 (- 1 (* (* v 3) v))))) (log (* t (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: iters left: 1 (216 enodes) * [exit]simplify: Simplified to (+ (log (- t (* (* v t) v))) (log (sqrt (- 2 (* (* 2 v) (* v 3)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v t) (/ (/ (- 1 (* (* v v) 5)) PI) (exp (+ (log (- t (* (* v t) v))) (log (sqrt (- 2 (* (* 2 v) (* v 3))))))))) * * * * [misc]progress: [ 4 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (sqrt (* 2 (- 1 (* (* v 3) v))))) (sqrt (* 2 (- 1 (* (* v 3) v))))) (* (* (* t (- 1 (* v v))) (* t (- 1 (* v v)))) (* t (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (137 enodes) * [exit]simplify: Simplified to (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* (* 2 (- 1 (* (* v 3) v))) (pow (* t (- 1 (* v v))) 3))) * [misc]simplify: Simplified (2 2 1) to (λ (v t) (/ (/ (- 1 (* (* v v) 5)) PI) (cbrt (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* (* 2 (- 1 (* (* v 3) v))) (pow (* t (- 1 (* v v))) 3)))))) * * * * [misc]progress: [ 7 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3)))) (* t (- (pow 1 3) (pow (* v v) 3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (422 enodes) * [exit]simplify: Simplified to (* (- t (* (* (* v v) (* v v)) (* v (* v t)))) (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* v 3) 3))))) * [misc]simplify: Simplified (2 2 1) to (λ (v t) (/ (/ (- 1 (* (* v v) 5)) PI) (/ (* (- t (* (* (* v v) (* v v)) (* v (* v t)))) (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* v 3) 3))))) (* (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))) * [enter]simplify: Simplifying (* (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * * [misc]simplify: iters left: 3 (415 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3)))) (+ (* (* v v) (* v v)) (+ (* v v) 1))) * [misc]simplify: Simplified (2 2 2) to (λ (v t) (/ (/ (- 1 (* (* v v) 5)) PI) (/ (* (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3)))) (* t (- (pow 1 3) (pow (* v v) 3)))) (* (sqrt (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3)))) (+ (* (* v v) (* v v)) (+ (* v v) 1)))))) * * * * [misc]progress: [ 11 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3)))) (* t (- (* 1 1) (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (386 enodes) * [exit]simplify: Simplified to (* (sqrt (- 2 (* (pow (* v 3) 3) (* (* v v) (* v 2))))) (- t (* (* t v) (pow v 3)))) * [misc]simplify: Simplified (2 2 1) to (λ (v t) (/ (/ (- 1 (* (* v v) 5)) PI) (/ (* (sqrt (- 2 (* (pow (* v 3) 3) (* (* v v) (* v 2))))) (- t (* (* t v) (pow v 3)))) (* (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))) (+ 1 (* v v)))))) * [enter]simplify: Simplifying (* (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))) (+ 1 (* v v))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * * [misc]simplify: iters left: 2 (352 enodes) * * [misc]simplify: iters left: 1 (493 enodes) * [exit]simplify: Simplified to (* (+ 1 (* v v)) (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) * [misc]simplify: Simplified (2 2 2) to (λ (v t) (/ (/ (- 1 (* (* v v) 5)) PI) (/ (* (sqrt (- 2 (* (pow (* v 3) 3) (* (* v v) (* v 2))))) (- t (* (* t v) (pow v 3)))) (* (+ 1 (* v v)) (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v)))))))) * * * * [misc]progress: [ 12 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v))))) (* t (- (pow 1 3) (pow (* v v) 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (318 enodes) * [exit]simplify: Simplified to (* (- t (* (* (* v v) (* v v)) (* t (* v v)))) (sqrt (- 2 (* (* 3 (* v v)) (* (* v v) (* 3 2)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v t) (/ (/ (- 1 (* (* v v) 5)) PI) (/ (* (- t (* (* (* v v) (* v v)) (* t (* v v)))) (sqrt (- 2 (* (* 3 (* v v)) (* (* v v) (* 3 2)))))) (* (sqrt (+ 1 (* (* v 3) v))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))) * [enter]simplify: Simplifying (* (sqrt (+ 1 (* (* v 3) v))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (335 enodes) * [exit]simplify: Simplified to (* (+ (* (* v v) (* v v)) (+ 1 (* v v))) (sqrt (+ 1 (* (* 3 v) v)))) * [misc]simplify: Simplified (2 2 2) to (λ (v t) (/ (/ (- 1 (* (* v v) 5)) PI) (/ (* (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v))))) (* t (- (pow 1 3) (pow (* v v) 3)))) (* (+ (* (* v v) (* v v)) (+ 1 (* v v))) (sqrt (+ 1 (* (* 3 v) v))))))) * * * * [misc]progress: [ 13 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v))))) (* t (- (* 1 1) (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (266 enodes) * [exit]simplify: Simplified to (* (sqrt (- 2 (* (* (* v v) (* v 3)) (* (* v 3) 2)))) (- t (* (* v t) (pow v 3)))) * [misc]simplify: Simplified (2 2 1) to (λ (v t) (/ (/ (- 1 (* (* v v) 5)) PI) (/ (* (sqrt (- 2 (* (* (* v v) (* v 3)) (* (* v 3) 2)))) (- t (* (* v t) (pow v 3)))) (* (sqrt (+ 1 (* (* v 3) v))) (+ 1 (* v v)))))) * [enter]simplify: Simplifying (* (sqrt (+ 1 (* (* v 3) v))) (+ 1 (* v v))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 (* (* 3 v) v))) (+ (* v v) 1)) * [misc]simplify: Simplified (2 2 2) to (λ (v t) (/ (/ (- 1 (* (* v v) 5)) PI) (/ (* (sqrt (- 2 (* (* (* v v) (* v 3)) (* (* v 3) 2)))) (- t (* (* v t) (pow v 3)))) (* (sqrt (+ 1 (* (* 3 v) v))) (+ (* v v) 1))))) * * * * [misc]progress: [ 14 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- (* v v)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (* (* (* v t) (- v)) (sqrt (- 2 (* (* v 3) (* 2 v))))) * [misc]simplify: Simplified (2 2 2) to (λ (v t) (/ (/ (- 1 (* (* v v) 5)) PI) (+ (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t 1)) (* (* (* v t) (- v)) (sqrt (- 2 (* (* v 3) (* 2 v)))))))) * * * * [misc]progress: [ 16 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- (* v v)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (* (* (* v t) (- v)) (sqrt (- 2 (* (* v 3) (* 2 v))))) * [misc]simplify: Simplified (2 2 2) to (λ (v t) (/ (/ (- 1 (* (* v v) 5)) PI) (+ (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t 1)) (* (* (* v t) (- v)) (sqrt (- 2 (* (* v 3) (* 2 v)))))))) * * * * [misc]progress: [ 17 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* (- (* v v)) t)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (274 enodes) * * [misc]simplify: iters left: 1 (324 enodes) * [exit]simplify: Simplified to (* (* (* t v) (- v)) (sqrt (- 2 (* (* 3 2) (* v v))))) * [misc]simplify: Simplified (2 2 2) to (λ (v t) (/ (/ (- 1 (* (* v v) 5)) PI) (+ (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* 1 t)) (* (* (* t v) (- v)) (sqrt (- 2 (* (* 3 2) (* v v)))))))) * * * * [misc]progress: [ 18 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* (- (* v v)) t)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (274 enodes) * * [misc]simplify: iters left: 1 (324 enodes) * [exit]simplify: Simplified to (* (* (* t v) (- v)) (sqrt (- 2 (* (* 3 2) (* v v))))) * [misc]simplify: Simplified (2 2 2) to (λ (v t) (/ (/ (- 1 (* (* v v) 5)) PI) (+ (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* 1 t)) (* (* (* t v) (- v)) (sqrt (- 2 (* (* 3 2) (* v v)))))))) * * * * [misc]progress: [ 19 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* t (- (* v v))) (sqrt (* 2 (- 1 (* (* v 3) v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (266 enodes) * * [misc]simplify: iters left: 1 (318 enodes) * [exit]simplify: Simplified to (* (* (* t v) (- v)) (sqrt (- 2 (* (* v v) (* 3 2))))) * [misc]simplify: Simplified (2 2 2) to (λ (v t) (/ (/ (- 1 (* (* v v) 5)) PI) (+ (* (* t 1) (sqrt (* 2 (- 1 (* (* v 3) v))))) (* (* (* t v) (- v)) (sqrt (- 2 (* (* v v) (* 3 2)))))))) * * * * [misc]progress: [ 20 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* t (- (* v v))) (sqrt (* 2 (- 1 (* (* v 3) v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (266 enodes) * * [misc]simplify: iters left: 1 (318 enodes) * [exit]simplify: Simplified to (* (* (* t v) (- v)) (sqrt (- 2 (* (* v v) (* 3 2))))) * [misc]simplify: Simplified (2 2 2) to (λ (v t) (/ (/ (- 1 (* (* v v) 5)) PI) (+ (* (* t 1) (sqrt (* 2 (- 1 (* (* v 3) v))))) (* (* (* t v) (- v)) (sqrt (- 2 (* (* v v) (* 3 2)))))))) * * * * [misc]progress: [ 21 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (* v v)) t) (sqrt (* 2 (- 1 (* (* v 3) v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (272 enodes) * * [misc]simplify: iters left: 1 (325 enodes) * [exit]simplify: Simplified to (* (* (- v) (* t v)) (sqrt (- 2 (* (* 2 v) (* 3 v))))) * [misc]simplify: Simplified (2 2 2) to (λ (v t) (/ (/ (- 1 (* (* v v) 5)) PI) (+ (* (* 1 t) (sqrt (* 2 (- 1 (* (* v 3) v))))) (* (* (- v) (* t v)) (sqrt (- 2 (* (* 2 v) (* 3 v)))))))) * * * * [misc]progress: [ 22 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (* v v)) t) (sqrt (* 2 (- 1 (* (* v 3) v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (272 enodes) * * [misc]simplify: iters left: 1 (325 enodes) * [exit]simplify: Simplified to (* (* (- v) (* t v)) (sqrt (- 2 (* (* 2 v) (* 3 v))))) * [misc]simplify: Simplified (2 2 2) to (λ (v t) (/ (/ (- 1 (* (* v v) 5)) PI) (+ (* (* 1 t) (sqrt (* 2 (- 1 (* (* v 3) v))))) (* (* (- v) (* t v)) (sqrt (- 2 (* (* 2 v) (* 3 v)))))))) * * * * [misc]progress: [ 23 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (* v v)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (- 1 (* v v)) * [misc]simplify: Simplified (2 2 2) to (λ (v t) (/ (/ (- 1 (* (* v v) 5)) PI) (* (* (sqrt (* 2 (- 1 (* (* v 3) v)))) t) (- 1 (* v v))))) * * * * [misc]progress: [ 24 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))) (cbrt (sqrt (- 2 (* (* 3 2) (* v v)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v t) (/ (/ (- 1 (* (* v v) 5)) PI) (* (* (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))) (cbrt (sqrt (- 2 (* (* 3 2) (* v v)))))) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (* t (- 1 (* v v))))))) * * * * [misc]progress: [ 25 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 2) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 2) * [misc]simplify: Simplified (2 2 1) to (λ (v t) (/ (/ (- 1 (* (* v v) 5)) PI) (* (sqrt 2) (* (sqrt (- 1 (* (* v 3) v))) (* t (- 1 (* v v))))))) * * * * [misc]progress: [ 26 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (178 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))) * [misc]simplify: Simplified (2 2 1) to (λ (v t) (/ (/ (- 1 (* (* v v) 5)) PI) (* (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))) (* (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (* t (- 1 (* v v))))))) * * * * [misc]progress: [ 27 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (+ (+ (* v v) 1) (* (* v v) (* v v))) * [misc]simplify: Simplified (2 2 2) to (λ (v t) (/ (/ (- 1 (* (* v v) 5)) PI) (/ (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- (pow 1 3) (pow (* v v) 3)))) (+ (+ (* v v) 1) (* (* v v) (* v v)))))) * * * * [misc]progress: [ 29 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (* v v)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (+ 1 (* v v)) * [misc]simplify: Simplified (2 2 2) to (λ (v t) (/ (/ (- 1 (* (* v v) 5)) PI) (/ (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- (* 1 1) (* (* v v) (* v v))))) (+ 1 (* v v))))) * * * * [misc]progress: [ 30 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3)))) (* t (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (354 enodes) * [exit]simplify: Simplified to (* (- t (* (* t v) v)) (sqrt (- 2 (* (pow (* v 3) 3) (* (* v v) (* v 2)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v t) (/ (/ (- 1 (* (* v v) 5)) PI) (/ (* (- t (* (* t v) v)) (sqrt (- 2 (* (pow (* v 3) 3) (* (* v v) (* v 2)))))) (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))))) * * * * [misc]progress: [ 31 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v))))) (* t (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (229 enodes) * [exit]simplify: Simplified to (* (- t (* v (* v t))) (sqrt (- 2 (* (* v (* v 3)) (* (* v 3) (* v 2)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v t) (/ (/ (- 1 (* (* v v) 5)) PI) (/ (* (- t (* v (* v t))) (sqrt (- 2 (* (* v (* v 3)) (* (* v 3) (* v 2)))))) (sqrt (+ 1 (* (* v 3) v)))))) * * * * [misc]progress: [ 32 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (- 1 (* (* v v) 5)) PI)) (+ (log (sqrt (* 2 (- 1 (* (* v 3) v))))) (log (* t (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (253 enodes) * [exit]simplify: Simplified to (- (- (log (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (log (- t (* t (* v v))))) (log (sqrt (- 2 (* (* 3 v) (* v 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (exp (- (- (log (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (log (- t (* t (* v v))))) (log (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * * * * [misc]progress: [ 35 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (- 1 (* (* v v) 5)) PI)) (log (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * * [misc]simplify: iters left: 3 (279 enodes) * [exit]simplify: Simplified to (- (- (log (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (log (- t (* (* v v) t)))) (log (sqrt (- 2 (* (* v 2) (* 3 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (exp (- (- (log (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (log (- t (* (* v v) t)))) (log (sqrt (- 2 (* (* v 2) (* 3 v)))))))) * * * * [misc]progress: [ 36 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (- 1 (* (* v v) 5)) PI) (/ (- 1 (* (* v v) 5)) PI)) (/ (- 1 (* (* v v) 5)) PI)) (* (* (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (sqrt (* 2 (- 1 (* (* v 3) v))))) (sqrt (* 2 (- 1 (* (* v 3) v))))) (* (* (* t (- 1 (* v v))) (* t (- 1 (* v v)))) (* t (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (291 enodes) * [exit]simplify: Simplified to (/ (* (* (- (/ 1 PI) (* (/ 5 PI) (* v v))) (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (/ (- (/ 1 PI) (* (/ 5 PI) (* v v))) (* t (- 1 (* v v))))) (* (sqrt (* (- 1 (* 3 (* v v))) 2)) (* (* (- 1 (* 3 (* v v))) 2) (* (* t (- 1 (* v v))) (* t (- 1 (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (cbrt (/ (* (* (- (/ 1 PI) (* (/ 5 PI) (* v v))) (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (/ (- (/ 1 PI) (* (/ 5 PI) (* v v))) (* t (- 1 (* v v))))) (* (sqrt (* (- 1 (* 3 (* v v))) 2)) (* (* (- 1 (* 3 (* v v))) 2) (* (* t (- 1 (* v v))) (* t (- 1 (* v v))))))))) * * * * [misc]progress: [ 39 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (- 1 (* (* v v) 5)) PI) (/ (- 1 (* (* v v) 5)) PI)) (/ (- 1 (* (* v v) 5)) PI)) (* (* (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- 1 (* v v)))) (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- 1 (* v v))))) (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (259 enodes) * [exit]simplify: Simplified to (/ (* (/ (* (- (/ 1 PI) (* (/ 5 PI) (* v v))) (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (* (- 1 (* v v)) t)) (/ (- (/ 1 PI) (* (/ 5 PI) (* v v))) (* (- 1 (* 3 (* v v))) 2))) (* (* (* (- 1 (* v v)) t) (* (- 1 (* v v)) t)) (sqrt (* (- 1 (* 3 (* v v))) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v t) (cbrt (/ (* (/ (* (- (/ 1 PI) (* (/ 5 PI) (* v v))) (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (* (- 1 (* v v)) t)) (/ (- (/ 1 PI) (* (/ 5 PI) (* v v))) (* (- 1 (* 3 (* v v))) 2))) (* (* (* (- 1 (* v v)) t) (* (- 1 (* v v)) t)) (sqrt (* (- 1 (* 3 (* v v))) 2)))))) * * * * [misc]progress: [ 40 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 PI) (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (204 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ 1 PI) t) (- 1 (* v v))) (sqrt (- 2 (* (* v 3) (* 2 v))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (- (/ (/ (/ (/ 1 PI) t) (- 1 (* v v))) (sqrt (- 2 (* (* v 3) (* 2 v))))) (/ (/ (* (* v v) 5) PI) (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- 1 (* v v))))))) * * * * [misc]progress: [ 45 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (* 2 (- 1 (* (* v 3) v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: iters left: 1 (319 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (sqrt (- 2 (* (* 2 v) (* 3 v))))) (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (sqrt (- 2 (* (* 2 v) (* 3 v))))) (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (/ (cbrt (/ (- 1 (* (* v v) 5)) PI)) (* t (- 1 (* v v)))))) * [enter]simplify: Simplifying (/ (cbrt (/ (- 1 (* (* v v) 5)) PI)) (* t (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (- t (* v (* v t)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (* 2 (- 1 (* (* v 3) v))))) (/ (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (- t (* v (* v t)))))) * * * * [misc]progress: [ 46 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (* 2 (- 1 (* (* v 3) v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (227 enodes) * * [misc]simplify: iters left: 1 (316 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (sqrt (- 2 (* (* v 2) (* 3 v))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (sqrt (- 2 (* (* v 2) (* 3 v))))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* t (- 1 (* v v)))))) * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* t (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (- t (* v (* v t)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (* 2 (- 1 (* (* v 3) v))))) (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (- t (* v (* v t)))))) * * * * [misc]progress: [ 47 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (* 2 (- 1 (* (* v 3) v))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (174 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- 2 (* (* v v) (* 3 2))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ 1 (sqrt (- 2 (* (* v v) (* 3 2))))) (/ (/ (- 1 (* (* v v) 5)) PI) (* t (- 1 (* v v)))))) * [enter]simplify: Simplifying (/ (/ (- 1 (* (* v v) 5)) PI) (* t (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * [exit]simplify: Simplified to (/ (- 1 (* (* v v) 5)) (* (* PI t) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ 1 (sqrt (* 2 (- 1 (* (* v 3) v))))) (/ (- 1 (* (* v v) 5)) (* (* PI t) (- 1 (* v v)))))) * * * * [misc]progress: [ 48 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 (* (* v v) 5)) (sqrt (* 2 (- 1 (* (* v 3) v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (222 enodes) * * [misc]simplify: iters left: 1 (311 enodes) * [exit]simplify: Simplified to (/ (- 1 (* (* v v) 5)) (sqrt (- 2 (* (* 3 2) (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (- 1 (* (* v v) 5)) (sqrt (- 2 (* (* 3 2) (* v v))))) (/ (/ 1 PI) (* t (- 1 (* v v)))))) * [enter]simplify: Simplifying (/ (/ 1 PI) (* t (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) t) (- 1 (* v v))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (- 1 (* (* v v) 5)) (sqrt (* 2 (- 1 (* (* v 3) v))))) (/ (/ (/ 1 PI) t) (- 1 (* v v))))) * * * * [misc]progress: [ 49 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* t (- 1 (* v v))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (- t (* (* v v) t)) * [misc]simplify: Simplified (2 2) to (λ (v t) (/ (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (* 2 (- 1 (* (* v 3) v))))) (- t (* (* v v) t)))) * * * * [misc]progress: [ 53 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (/ (* (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (/ (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- 1 (* v v)))) (cbrt (/ (- 1 (* (* v v) 5)) PI))))) * * * * [misc]progress: [ 54 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 (* (* v v) 5)) PI)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) * [misc]simplify: Simplified (2 1) to (λ (v t) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (/ (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- 1 (* v v)))) (sqrt (/ (- 1 (* (* v v) 5)) PI))))) * * * * [misc]progress: [ 55 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (* (* v v) 5)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (- 1 (* (* v v) 5)) * [misc]simplify: Simplified (2 1) to (λ (v t) (/ (- 1 (* (* v v) 5)) (/ (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- 1 (* v v)))) (/ 1 PI)))) * * * * [misc]progress: [ 57 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * * [misc]simplify: iters left: 3 (415 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3)))) (+ (* (* v v) (* v v)) (+ (* v v) 1))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (- 1 (* (* v v) 5)) PI) (* (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3)))) (* t (- (pow 1 3) (pow (* v v) 3))))) (* (sqrt (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3)))) (+ (* (* v v) (* v v)) (+ (* v v) 1))))) * * * * [misc]progress: [ 58 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))) (+ 1 (* v v))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * * [misc]simplify: iters left: 2 (352 enodes) * * [misc]simplify: iters left: 1 (493 enodes) * [exit]simplify: Simplified to (* (+ 1 (* v v)) (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (- 1 (* (* v v) 5)) PI) (* (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3)))) (* t (- (* 1 1) (* (* v v) (* v v)))))) (* (+ 1 (* v v)) (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))))) * * * * [misc]progress: [ 59 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ 1 (* (* v 3) v))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (335 enodes) * [exit]simplify: Simplified to (* (+ (* (* v v) (* v v)) (+ 1 (* v v))) (sqrt (+ 1 (* (* 3 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (- 1 (* (* v v) 5)) PI) (* (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v))))) (* t (- (pow 1 3) (pow (* v v) 3))))) (* (+ (* (* v v) (* v v)) (+ 1 (* v v))) (sqrt (+ 1 (* (* 3 v) v)))))) * * * * [misc]progress: [ 60 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ 1 (* (* v 3) v))) (+ 1 (* v v))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 (* (* 3 v) v))) (+ (* v v) 1)) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (- 1 (* (* v v) 5)) PI) (* (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v))))) (* t (- (* 1 1) (* (* v v) (* v v)))))) (* (sqrt (+ 1 (* (* 3 v) v))) (+ (* v v) 1)))) * * * * [misc]progress: [ 61 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (+ (+ (* v v) 1) (* (* v v) (* v v))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (- 1 (* (* v v) 5)) PI) (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- (pow 1 3) (pow (* v v) 3))))) (+ (+ (* v v) 1) (* (* v v) (* v v))))) * * * * [misc]progress: [ 62 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (* v v)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (+ 1 (* v v)) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (- 1 (* (* v v) 5)) PI) (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- (* 1 1) (* (* v v) (* v v)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 63 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (321 enodes) * * [misc]simplify: iters left: 1 (418 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (- 1 (* (* v v) 5)) PI) (* (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3)))) (* t (- 1 (* v v))))) (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v)))))) * * * * [misc]progress: [ 64 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (* (* v 3) v))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (* (* 3 v) v))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (- 1 (* (* v v) 5)) PI) (* (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v))))) (* t (- 1 (* v v))))) (sqrt (+ 1 (* (* 3 v) v))))) * * * * [misc]progress: [ 65 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (* (* v v) 5)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (- 1 (* (* v v) 5)) * [misc]simplify: Simplified (2 1) to (λ (v t) (/ (- 1 (* (* v v) 5)) (* (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- 1 (* v v)))) PI))) * * * * [misc]progress: [ 66 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 84 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* t (sqrt 2)) (+ (* t (* (sqrt 2) (pow v 2))) (* 3 (/ (* t (pow v 2)) (sqrt 2))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * * [misc]simplify: iters left: 2 (431 enodes) * [exit]simplify: Simplified to (* t (- (- (sqrt 2) (* (sqrt 2) (* v v))) (* (/ 3 (sqrt 2)) (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (/ (/ (- 1 (* (* v v) 5)) PI) (* t (- (- (sqrt 2) (* (sqrt 2) (* v v))) (* (/ 3 (sqrt 2)) (* v v)))))) * * * * [misc]progress: [ 85 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ t (* v (sqrt -6))) (+ (* 1/2 (/ t (* v (pow (sqrt -6) 3)))) (* t (* v (sqrt -6))))) (+ (* t (* (pow v 3) (sqrt -6))) (/ (* t v) (sqrt -6)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (375 enodes) * [exit]simplify: Simplified to (- (+ (- (* (sqrt -6) (* t v)) (/ (* t v) (sqrt -6))) (* (+ (/ 1/2 -6) 1) (/ (/ t v) (sqrt -6)))) (* (* (* v v) (* t v)) (sqrt -6))) * [misc]simplify: Simplified (2 2) to (λ (v t) (/ (/ (- 1 (* (* v v) 5)) PI) (- (+ (- (* (sqrt -6) (* t v)) (/ (* t v) (sqrt -6))) (* (+ (/ 1/2 -6) 1) (/ (/ t v) (sqrt -6)))) (* (* (* v v) (* t v)) (sqrt -6))))) * * * * [misc]progress: [ 86 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* t (* (pow v 3) (sqrt -6))) (/ (* t v) (sqrt -6))) (+ (/ t (* v (sqrt -6))) (+ (* 1/2 (/ t (* v (pow (sqrt -6) 3)))) (* t (* v (sqrt -6)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (354 enodes) * [exit]simplify: Simplified to (+ (* (* v v) (* (* t v) (sqrt -6))) (- (- (/ (* t v) (sqrt -6)) (* (* t v) (sqrt -6))) (* (+ (/ 1/2 -6) 1) (/ (/ t v) (sqrt -6))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (/ (/ (- 1 (* (* v v) 5)) PI) (+ (* (* v v) (* (* t v) (sqrt -6))) (- (- (/ (* t v) (sqrt -6)) (* (* t v) (sqrt -6))) (* (+ (/ 1/2 -6) 1) (/ (/ t v) (sqrt -6))))))) * * * * [misc]progress: [ 87 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 (* t (* (sqrt 2) PI))) (+ (* 3 (/ (pow v 2) (* t (* (pow (sqrt 2) 3) PI)))) (* 27/2 (/ (pow v 4) (* t (* (pow (sqrt 2) 5) PI)))))) (+ (* 4 (/ (pow v 4) (* t (* (sqrt 2) PI)))) (+ (* 4 (/ (pow v 2) (* t (* (sqrt 2) PI)))) (* 12 (/ (pow v 4) (* t (* (pow (sqrt 2) 3) PI))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (300 enodes) * [exit]simplify: Simplified to (- (+ (+ (/ (* (/ 3 t) (* v v)) (* (sqrt 2) (* PI 2))) (/ 1 (* (sqrt 2) (* t PI)))) (* (/ (pow v 4) (pow (sqrt 2) 5)) (/ 27/2 (* t PI)))) (+ (* (/ (/ 4 PI) (sqrt 2)) (+ (/ (pow v 4) t) (/ (* v v) t))) (/ (* (/ 12 t) (pow v 4)) (* (sqrt 2) (* PI 2))))) * [misc]simplify: Simplified (2) to (λ (v t) (- (+ (+ (/ (* (/ 3 t) (* v v)) (* (sqrt 2) (* PI 2))) (/ 1 (* (sqrt 2) (* t PI)))) (* (/ (pow v 4) (pow (sqrt 2) 5)) (/ 27/2 (* t PI)))) (+ (* (/ (/ 4 PI) (sqrt 2)) (+ (/ (pow v 4) t) (/ (* v v) t))) (/ (* (/ 12 t) (pow v 4)) (* (sqrt 2) (* PI 2)))))) * * * * [misc]progress: [ 88 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4 (/ 1 (* t (* (pow v 3) (* (sqrt -6) PI))))) (* 5 (/ 1 (* t (* v (* (sqrt -6) PI)))))) (* 5 (/ 1 (* t (* (pow v 3) (* (pow (sqrt -6) 3) PI)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * [exit]simplify: Simplified to (- (* (/ (/ 1 PI) (sqrt -6)) (+ (/ 5 (* t v)) (/ (/ 4 t) (pow v 3)))) (/ (/ 5 t) (* (* (* v v) (* v -6)) (* (sqrt -6) PI)))) * [misc]simplify: Simplified (2) to (λ (v t) (- (* (/ (/ 1 PI) (sqrt -6)) (+ (/ 5 (* t v)) (/ (/ 4 t) (pow v 3)))) (/ (/ 5 t) (* (* (* v v) (* v -6)) (* (sqrt -6) PI))))) * * * * [misc]progress: [ 89 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 5 (/ 1 (* t (* (pow v 3) (* (pow (sqrt -6) 3) PI))))) (+ (* 4 (/ 1 (* t (* (pow v 3) (* (sqrt -6) PI))))) (* 5 (/ 1 (* t (* v (* (sqrt -6) PI))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * [exit]simplify: Simplified to (- (/ (/ 5 t) (* (* PI (* v v)) (* (* v -6) (sqrt -6)))) (* (/ (/ 1 PI) (sqrt -6)) (+ (/ (/ 4 t) (pow v 3)) (/ 5 (* t v))))) * [misc]simplify: Simplified (2) to (λ (v t) (- (/ (/ 5 t) (* (* PI (* v v)) (* (* v -6) (sqrt -6)))) (* (/ (/ 1 PI) (sqrt -6)) (+ (/ (/ 4 t) (pow v 3)) (/ 5 (* t v)))))) * * * * [misc]progress: [ 90 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* 5 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* v v) 5) * [misc]simplify: Simplified (2 1 1 2) to (λ (v t) (/ (/ (- 1 (* (* v v) 5)) PI) (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- 1 (* v v)))))) * * * * [misc]progress: [ 91 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* 5 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* v v) 5) * [misc]simplify: Simplified (2 1 1 2) to (λ (v t) (/ (/ (- 1 (* (* v v) 5)) PI) (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- 1 (* v v)))))) * * * * [misc]progress: [ 92 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* 5 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* v v) 5) * [misc]simplify: Simplified (2 1 1 2) to (λ (v t) (/ (/ (- 1 (* (* v v) 5)) PI) (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- 1 (* v v)))))) * * * * [misc]progress: [ 93 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* 3 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* v v) 3) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (v t) (/ (/ (- 1 (* (* v v) 5)) PI) (* (sqrt (* 2 (- 1 (* (* v v) 3)))) (* t (- 1 (* v v)))))) * * * * [misc]progress: [ 94 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* 3 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* v v) 3) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (v t) (/ (/ (- 1 (* (* v v) 5)) PI) (* (sqrt (* 2 (- 1 (* (* v v) 3)))) (* t (- 1 (* v v)))))) * * * * [misc]progress: [ 95 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* 3 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* v v) 3) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (v t) (/ (/ (- 1 (* (* v v) 5)) PI) (* (sqrt (* 2 (- 1 (* (* v v) 3)))) (* t (- 1 (* v v)))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 1 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1 1 2) * [misc]approximate: Taking taylor expansion of (* (* v v) 5) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* v v) 5) in v * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (* (* v v) 5) in v * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 5) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 5)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 5))) into 5 * [misc]backup-simplify: Simplify 5 into 5 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 5)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 5))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 5)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 5))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 5)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 5))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 5 (pow v 2)) into (* 5 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 v) (/ 1 v)) 5) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) (/ 1 v)) 5) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) (/ 1 v)) 5) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 5) into 5 * [misc]backup-simplify: Simplify 5 into 5 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 5)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 5))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 5)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 5))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 5)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 5))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 5 (pow (/ 1 (/ 1 v)) 2)) into (* 5 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 (- v)) (/ 1 (- v))) 5) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) (/ 1 (- v))) 5) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) (/ 1 (- v))) 5) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 5) into 5 * [misc]backup-simplify: Simplify 5 into 5 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 5)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 5))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 5)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 5))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 5)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 5))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 5 (pow (/ 1 (/ 1 (- v))) 2)) into (* 5 (pow v 2)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 1 2 2) * [misc]approximate: Taking taylor expansion of (* (* v 3) v) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* v 3) v) in v * [misc]taylor: Taking taylor expansion of (* v 3) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* v 3) v) in v * [misc]taylor: Taking taylor expansion of (* v 3) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 3) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 3)) into 3 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 3 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 1) (* 0 0))) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 3 (pow v 2)) into (* 3 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 v) 3) (/ 1 v)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) 3) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) 3) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) 3) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) 3) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 3) into 3 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 3 (pow (/ 1 (/ 1 v)) 2)) into (* 3 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 (- v)) 3) (/ 1 (- v))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) 3) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) 3) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) 3) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) 3) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 3) into -3 * [misc]backup-simplify: Simplify (* -3 -1) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 3 (pow (/ 1 (/ 1 (- v))) 2)) into (* 3 (pow v 2)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (* 2 (- 1 (* (* v 3) v))))) (* t (- 1 (* v v)))) in (v t) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (* 2 (- 1 (* (* v 3) v))))) (* t (- 1 (* v v)))) in t * [misc]taylor: Taking taylor expansion of (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (* 2 (- 1 (* (* v 3) v))))) in t * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (* v v) 5)) PI) in t * [misc]taylor: Taking taylor expansion of (- 1 (* (* v v) 5)) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* v v) 5) in t * [misc]taylor: Taking taylor expansion of (* v v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]taylor: Taking taylor expansion of 5 in t * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* v v) into (pow v 2) * [misc]backup-simplify: Simplify (* (pow v 2) 5) into (* 5 (pow v 2)) * [misc]backup-simplify: Simplify (- (* 5 (pow v 2))) into (- (* 5 (pow v 2))) * [misc]backup-simplify: Simplify (+ 1 (- (* 5 (pow v 2)))) into (- 1 (* 5 (pow v 2))) * [misc]backup-simplify: Simplify (/ (- 1 (* 5 (pow v 2))) PI) into (/ (- 1 (* 5 (pow v 2))) PI) * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* v 3) v)))) in t * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* v 3) v))) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* v 3) v)) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* v 3) v) in t * [misc]taylor: Taking taylor expansion of (* v 3) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]taylor: Taking taylor expansion of 3 in t * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (* v 3) into (* 3 v) * [misc]backup-simplify: Simplify (* (* 3 v) v) into (* 3 (pow v 2)) * [misc]backup-simplify: Simplify (- (* 3 (pow v 2))) into (- (* 3 (pow v 2))) * [misc]backup-simplify: Simplify (+ 1 (- (* 3 (pow v 2)))) into (- 1 (* 3 (pow v 2))) * [misc]backup-simplify: Simplify (* 2 (- 1 (* 3 (pow v 2)))) into (* 2 (- 1 (* 3 (pow v 2)))) * [misc]backup-simplify: Simplify (sqrt (* 2 (- 1 (* 3 (pow v 2))))) into (* (sqrt (- 1 (* 3 (pow v 2)))) (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* v 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 v) 0) (* 0 v)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- 1 (* 3 (pow v 2))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 2 (- 1 (* 3 (pow v 2))))))) into 0 * [misc]backup-simplify: Simplify (/ (/ (- 1 (* 5 (pow v 2))) PI) (* (sqrt (- 1 (* 3 (pow v 2)))) (sqrt 2))) into (* (sqrt (/ 1 (- 1 (* 3 (pow v 2))))) (/ (- 1 (* 5 (pow v 2))) (* (sqrt 2) PI))) * [misc]taylor: Taking taylor expansion of (* t (- 1 (* v v))) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (* v v) into (pow v 2) * [misc]backup-simplify: Simplify (- (pow v 2)) into (- (pow v 2)) * [misc]backup-simplify: Simplify (+ 1 (- (pow v 2))) into (- 1 (pow v 2)) * [misc]backup-simplify: Simplify (* 0 (- 1 (pow v 2))) into 0 * [misc]backup-simplify: Simplify (+ (* v 0) (* 0 v)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (- 1 (pow v 2)))) into (- 1 (pow v 2)) * [misc]backup-simplify: Simplify (/ (* (sqrt (/ 1 (- 1 (* 3 (pow v 2))))) (/ (- 1 (* 5 (pow v 2))) (* (sqrt 2) PI))) (- 1 (pow v 2))) into (* (sqrt (/ 1 (- 1 (* 3 (pow v 2))))) (/ (- 1 (* 5 (pow v 2))) (* (sqrt 2) (* (- 1 (pow v 2)) PI)))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (* 2 (- 1 (* (* v 3) v))))) (* t (- 1 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (* 2 (- 1 (* (* v 3) v))))) in v * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (* v v) 5)) PI) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (* v v) 5)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* v v) 5) in v * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 5) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* v 3) v)))) in v * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* v 3) v))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* v 3) v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* v 3) v) in v * [misc]taylor: Taking taylor expansion of (* v 3) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 3) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 3)) into 3 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 3 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (sqrt 2)) into (/ 1 (* (sqrt 2) PI)) * [misc]taylor: Taking taylor expansion of (* t (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of t in v * [misc]backup-simplify: Simplify t into t * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* t 1) into t * [misc]backup-simplify: Simplify (/ (/ 1 (* (sqrt 2) PI)) t) into (/ 1 (* t (* (sqrt 2) PI))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (* 2 (- 1 (* (* v 3) v))))) (* t (- 1 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (* 2 (- 1 (* (* v 3) v))))) in v * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (* v v) 5)) PI) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (* v v) 5)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* v v) 5) in v * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 5) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* v 3) v)))) in v * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* v 3) v))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* v 3) v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* v 3) v) in v * [misc]taylor: Taking taylor expansion of (* v 3) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 3) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 3)) into 3 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 3 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (sqrt 2)) into (/ 1 (* (sqrt 2) PI)) * [misc]taylor: Taking taylor expansion of (* t (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of t in v * [misc]backup-simplify: Simplify t into t * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* t 1) into t * [misc]backup-simplify: Simplify (/ (/ 1 (* (sqrt 2) PI)) t) into (/ 1 (* t (* (sqrt 2) PI))) * [misc]taylor: Taking taylor expansion of (/ 1 (* t (* (sqrt 2) PI))) in t * [misc]taylor: Taking taylor expansion of (* t (* (sqrt 2) PI)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) PI) in t * [misc]taylor: Taking taylor expansion of (sqrt 2) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (sqrt 2) PI) into (* (sqrt 2) PI) * [misc]backup-simplify: Simplify (* 0 (* (sqrt 2) PI)) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* (sqrt 2) PI))) into (* (sqrt 2) PI) * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) PI)) into (/ 1 (* (sqrt 2) PI)) * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) PI)) into (/ 1 (* (sqrt 2) PI)) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 5)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (* (sqrt 2) PI)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* t 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 t) (+ (* (/ 1 (* t (* (sqrt 2) PI))) (/ 0 t)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* (sqrt 2) PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) PI)) (/ 0 (* (sqrt 2) PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 5))) into 5 * [misc]backup-simplify: Simplify (- 5) into -5 * [misc]backup-simplify: Simplify (+ 0 -5) into -5 * [misc]backup-simplify: Simplify (- (/ -5 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into (- (* 5 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 1) (* 0 0))) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (+ (* 2 -3) (+ (* 0 0) (* 0 1))) into -6 * [misc]backup-simplify: Simplify (/ (- -6 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ -3 (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ (- (* 5 (/ 1 PI))) (sqrt 2)) (+ (* (/ 1 (* (sqrt 2) PI)) (/ (/ -3 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 3 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 5 (/ 1 (* (sqrt 2) PI)))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* t -1) (+ (* 0 0) (* 0 1))) into (- t) * [misc]backup-simplify: Simplify (- (/ (- (* 3 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 5 (/ 1 (* (sqrt 2) PI)))) t) (+ (* (/ 1 (* t (* (sqrt 2) PI))) (/ (- t) t)) (* 0 (/ 0 t)))) into (- (* 3 (/ 1 (* t (* (pow (sqrt 2) 3) PI)))) (* 4 (/ 1 (* t (* (sqrt 2) PI))))) * [misc]taylor: Taking taylor expansion of (- (* 3 (/ 1 (* t (* (pow (sqrt 2) 3) PI)))) (* 4 (/ 1 (* t (* (sqrt 2) PI))))) in t * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (* t (* (pow (sqrt 2) 3) PI)))) in t * [misc]taylor: Taking taylor expansion of 3 in t * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (* t (* (pow (sqrt 2) 3) PI))) in t * [misc]taylor: Taking taylor expansion of (* t (* (pow (sqrt 2) 3) PI)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (sqrt 2) 3) PI) in t * [misc]taylor: Taking taylor expansion of (pow (sqrt 2) 3) in t * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqrt 2)))) in t * [misc]taylor: Taking taylor expansion of (* 3 (log (sqrt 2))) in t * [misc]taylor: Taking taylor expansion of 3 in t * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqrt 2)) in t * [misc]taylor: Taking taylor expansion of (sqrt 2) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (log (sqrt 2)) into (log (sqrt 2)) * [misc]backup-simplify: Simplify (* 3 (log (sqrt 2))) into (* 3 (log (sqrt 2))) * [misc]backup-simplify: Simplify (exp (* 3 (log (sqrt 2)))) into (pow (sqrt 2) 3) * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (pow (sqrt 2) 3) PI) into (* (pow (sqrt 2) 3) PI) * [misc]backup-simplify: Simplify (* 0 (* (pow (sqrt 2) 3) PI)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (sqrt 2) 3) 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* (pow (sqrt 2) 3) PI))) into (* (pow (sqrt 2) 3) PI) * [misc]backup-simplify: Simplify (/ 1 (* (pow (sqrt 2) 3) PI)) into (/ 1 (* (pow (sqrt 2) 3) PI)) * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* t (* (sqrt 2) PI)))) in t * [misc]taylor: Taking taylor expansion of 4 in t * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* t (* (sqrt 2) PI))) in t * [misc]taylor: Taking taylor expansion of (* t (* (sqrt 2) PI)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) PI) in t * [misc]taylor: Taking taylor expansion of (sqrt 2) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (sqrt 2) PI) into (* (sqrt 2) PI) * [misc]backup-simplify: Simplify (* 0 (* (sqrt 2) PI)) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* (sqrt 2) PI))) into (* (sqrt 2) PI) * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) PI)) into (/ 1 (* (sqrt 2) PI)) * [misc]backup-simplify: Simplify (* 3 (/ 1 (* (pow (sqrt 2) 3) PI))) into (/ 3 (* (pow (sqrt 2) 3) PI)) * [misc]backup-simplify: Simplify (* 4 (/ 1 (* (sqrt 2) PI))) into (/ 4 (* (sqrt 2) PI)) * [misc]backup-simplify: Simplify (- (/ 4 (* (sqrt 2) PI))) into (- (* 4 (/ 1 (* (sqrt 2) PI)))) * [misc]backup-simplify: Simplify (+ (/ 3 (* (pow (sqrt 2) 3) PI)) (- (* 4 (/ 1 (* (sqrt 2) PI))))) into (- (* 3 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4 (/ 1 (* (sqrt 2) PI)))) * [misc]backup-simplify: Simplify (- (* 3 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4 (/ 1 (* (sqrt 2) PI)))) into (- (* 3 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4 (/ 1 (* (sqrt 2) PI)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* (sqrt 2) PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) PI)) (/ 0 (* (sqrt 2) PI))) (* 0 (/ 0 (* (sqrt 2) PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 5)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* (- (* 5 (/ 1 PI))) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 -3) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -3 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (* (sqrt 2) PI)) (/ 0 (sqrt 2))) (* 0 (/ (/ -3 (sqrt 2)) (sqrt 2))) (* (- (* 3 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 5 (/ 1 (* (sqrt 2) PI)))) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* t 0) (+ (* 0 -1) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 t) (+ (* (/ 1 (* t (* (sqrt 2) PI))) (/ 0 t)) (* 0 (/ (- t) t)) (* (- (* 3 (/ 1 (* t (* (pow (sqrt 2) 3) PI)))) (* 4 (/ 1 (* t (* (sqrt 2) PI))))) (/ 0 t)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (sqrt 2) 3) 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* (pow (sqrt 2) 3) PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (pow (sqrt 2) 3) PI)) (/ 0 (* (pow (sqrt 2) 3) PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (/ 1 (* (pow (sqrt 2) 3) PI)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* (sqrt 2) PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) PI)) (/ 0 (* (sqrt 2) PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ 1 (* (sqrt 2) PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt 2) PI)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) PI)) (/ 0 (* (sqrt 2) PI))) (* 0 (/ 0 (* (sqrt 2) PI))) (* 0 (/ 0 (* (sqrt 2) PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 5))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* (- (* 5 (/ 1 PI))) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 -3) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ -3 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (/ -9/2 (pow (sqrt 2) 3)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (* (sqrt 2) PI)) (/ (/ -9/2 (pow (sqrt 2) 3)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 3 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 5 (/ 1 (* (sqrt 2) PI)))) (/ (/ -3 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 27/2 (/ 1 (* (pow (sqrt 2) 5) PI))) (* 15 (/ 1 (* (pow (sqrt 2) 3) PI)))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* t 0) (+ (* 0 0) (+ (* 0 -1) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (* 27/2 (/ 1 (* (pow (sqrt 2) 5) PI))) (* 15 (/ 1 (* (pow (sqrt 2) 3) PI)))) t) (+ (* (/ 1 (* t (* (sqrt 2) PI))) (/ 0 t)) (* 0 (/ 0 t)) (* (- (* 3 (/ 1 (* t (* (pow (sqrt 2) 3) PI)))) (* 4 (/ 1 (* t (* (sqrt 2) PI))))) (/ (- t) t)) (* 0 (/ 0 t)))) into (- (* 27/2 (/ 1 (* t (* (pow (sqrt 2) 5) PI)))) (+ (* 12 (/ 1 (* t (* (pow (sqrt 2) 3) PI)))) (* 4 (/ 1 (* t (* (sqrt 2) PI)))))) * [misc]taylor: Taking taylor expansion of (- (* 27/2 (/ 1 (* t (* (pow (sqrt 2) 5) PI)))) (+ (* 12 (/ 1 (* t (* (pow (sqrt 2) 3) PI)))) (* 4 (/ 1 (* t (* (sqrt 2) PI)))))) in t * [misc]taylor: Taking taylor expansion of (* 27/2 (/ 1 (* t (* (pow (sqrt 2) 5) PI)))) in t * [misc]taylor: Taking taylor expansion of 27/2 in t * [misc]backup-simplify: Simplify 27/2 into 27/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* t (* (pow (sqrt 2) 5) PI))) in t * [misc]taylor: Taking taylor expansion of (* t (* (pow (sqrt 2) 5) PI)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (sqrt 2) 5) PI) in t * [misc]taylor: Taking taylor expansion of (pow (sqrt 2) 5) in t * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (sqrt 2)))) in t * [misc]taylor: Taking taylor expansion of (* 5 (log (sqrt 2))) in t * [misc]taylor: Taking taylor expansion of 5 in t * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (sqrt 2)) in t * [misc]taylor: Taking taylor expansion of (sqrt 2) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (log (sqrt 2)) into (log (sqrt 2)) * [misc]backup-simplify: Simplify (* 5 (log (sqrt 2))) into (* 5 (log (sqrt 2))) * [misc]backup-simplify: Simplify (exp (* 5 (log (sqrt 2)))) into (pow (sqrt 2) 5) * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (pow (sqrt 2) 5) PI) into (* (pow (sqrt 2) 5) PI) * [misc]backup-simplify: Simplify (* 0 (* (pow (sqrt 2) 5) PI)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (* 0 (log (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 5 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (sqrt 2) 5) 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* (pow (sqrt 2) 5) PI))) into (* (pow (sqrt 2) 5) PI) * [misc]backup-simplify: Simplify (/ 1 (* (pow (sqrt 2) 5) PI)) into (/ 1 (* (pow (sqrt 2) 5) PI)) * [misc]taylor: Taking taylor expansion of (+ (* 12 (/ 1 (* t (* (pow (sqrt 2) 3) PI)))) (* 4 (/ 1 (* t (* (sqrt 2) PI))))) in t * [misc]taylor: Taking taylor expansion of (* 12 (/ 1 (* t (* (pow (sqrt 2) 3) PI)))) in t * [misc]taylor: Taking taylor expansion of 12 in t * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ 1 (* t (* (pow (sqrt 2) 3) PI))) in t * [misc]taylor: Taking taylor expansion of (* t (* (pow (sqrt 2) 3) PI)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (sqrt 2) 3) PI) in t * [misc]taylor: Taking taylor expansion of (pow (sqrt 2) 3) in t * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqrt 2)))) in t * [misc]taylor: Taking taylor expansion of (* 3 (log (sqrt 2))) in t * [misc]taylor: Taking taylor expansion of 3 in t * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqrt 2)) in t * [misc]taylor: Taking taylor expansion of (sqrt 2) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (log (sqrt 2)) into (log (sqrt 2)) * [misc]backup-simplify: Simplify (* 3 (log (sqrt 2))) into (* 3 (log (sqrt 2))) * [misc]backup-simplify: Simplify (exp (* 3 (log (sqrt 2)))) into (pow (sqrt 2) 3) * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (pow (sqrt 2) 3) PI) into (* (pow (sqrt 2) 3) PI) * [misc]backup-simplify: Simplify (* 0 (* (pow (sqrt 2) 3) PI)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (sqrt 2) 3) 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* (pow (sqrt 2) 3) PI))) into (* (pow (sqrt 2) 3) PI) * [misc]backup-simplify: Simplify (/ 1 (* (pow (sqrt 2) 3) PI)) into (/ 1 (* (pow (sqrt 2) 3) PI)) * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* t (* (sqrt 2) PI)))) in t * [misc]taylor: Taking taylor expansion of 4 in t * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* t (* (sqrt 2) PI))) in t * [misc]taylor: Taking taylor expansion of (* t (* (sqrt 2) PI)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) PI) in t * [misc]taylor: Taking taylor expansion of (sqrt 2) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (sqrt 2) PI) into (* (sqrt 2) PI) * [misc]backup-simplify: Simplify (* 0 (* (sqrt 2) PI)) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* (sqrt 2) PI))) into (* (sqrt 2) PI) * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) PI)) into (/ 1 (* (sqrt 2) PI)) * [misc]backup-simplify: Simplify (* 27/2 (/ 1 (* (pow (sqrt 2) 5) PI))) into (/ 27/2 (* (pow (sqrt 2) 5) PI)) * [misc]backup-simplify: Simplify (* 12 (/ 1 (* (pow (sqrt 2) 3) PI))) into (/ 12 (* (pow (sqrt 2) 3) PI)) * [misc]backup-simplify: Simplify (* 4 (/ 1 (* (sqrt 2) PI))) into (/ 4 (* (sqrt 2) PI)) * [misc]backup-simplify: Simplify (+ (/ 12 (* (pow (sqrt 2) 3) PI)) (/ 4 (* (sqrt 2) PI))) into (+ (* 12 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4 (/ 1 (* (sqrt 2) PI)))) * [misc]backup-simplify: Simplify (- (+ (* 12 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4 (/ 1 (* (sqrt 2) PI))))) into (- (+ (* 12 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4 (/ 1 (* (sqrt 2) PI))))) * [misc]backup-simplify: Simplify (+ (/ 27/2 (* (pow (sqrt 2) 5) PI)) (- (+ (* 12 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4 (/ 1 (* (sqrt 2) PI)))))) into (- (* 27/2 (/ 1 (* (pow (sqrt 2) 5) PI))) (+ (* 12 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4 (/ 1 (* (sqrt 2) PI))))) * [misc]backup-simplify: Simplify (- (* 27/2 (/ 1 (* (pow (sqrt 2) 5) PI))) (+ (* 12 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4 (/ 1 (* (sqrt 2) PI))))) into (- (* 27/2 (/ 1 (* (pow (sqrt 2) 5) PI))) (+ (* 12 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4 (/ 1 (* (sqrt 2) PI))))) * [misc]backup-simplify: Simplify (+ (* (- (* 27/2 (/ 1 (* (pow (sqrt 2) 5) PI))) (+ (* 12 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4 (/ 1 (* (sqrt 2) PI))))) (* (/ 1 t) (pow v 4))) (+ (* (- (* 3 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4 (/ 1 (* (sqrt 2) PI)))) (* (/ 1 t) (pow v 2))) (* (/ 1 (* (sqrt 2) PI)) (* (/ 1 t) 1)))) into (- (+ (/ 1 (* t (* (sqrt 2) PI))) (+ (* 3 (/ (pow v 2) (* t (* (pow (sqrt 2) 3) PI)))) (* 27/2 (/ (pow v 4) (* t (* (pow (sqrt 2) 5) PI)))))) (+ (* 4 (/ (pow v 4) (* t (* (sqrt 2) PI)))) (+ (* 4 (/ (pow v 2) (* t (* (sqrt 2) PI)))) (* 12 (/ (pow v 4) (* t (* (pow (sqrt 2) 3) PI))))))) * [misc]approximate: Taking taylor expansion of (/ (/ (/ (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) PI) (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))))) (* (/ 1 t) (- 1 (* (/ 1 v) (/ 1 v))))) in (v t) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) PI) (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))))) (* (/ 1 t) (- 1 (* (/ 1 v) (/ 1 v))))) in t * [misc]taylor: Taking taylor expansion of (/ (/ (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) PI) (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))))) in t * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) PI) in t * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) (/ 1 v)) 5) in t * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in t * [misc]taylor: Taking taylor expansion of (/ 1 v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (/ 1 v) into (/ 1 v) * [misc]taylor: Taking taylor expansion of (/ 1 v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (/ 1 v) into (/ 1 v) * [misc]taylor: Taking taylor expansion of 5 in t * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (/ 1 v) (/ 1 v)) into (/ 1 (pow v 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow v 2)) 5) into (/ 5 (pow v 2)) * [misc]backup-simplify: Simplify (- (/ 5 (pow v 2))) into (- (* 5 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (+ 1 (- (* 5 (/ 1 (pow v 2))))) into (- 1 (* 5 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (/ (- 1 (* 5 (/ 1 (pow v 2)))) PI) into (/ (- 1 (* 5 (/ 1 (pow v 2)))) PI) * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))) in t * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 v) 3) (/ 1 v))) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) 3) (/ 1 v)) in t * [misc]taylor: Taking taylor expansion of (* (/ 1 v) 3) in t * [misc]taylor: Taking taylor expansion of (/ 1 v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (/ 1 v) into (/ 1 v) * [misc]taylor: Taking taylor expansion of 3 in t * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (/ 1 v) into (/ 1 v) * [misc]backup-simplify: Simplify (* (/ 1 v) 3) into (/ 3 v) * [misc]backup-simplify: Simplify (* (/ 3 v) (/ 1 v)) into (/ 3 (pow v 2)) * [misc]backup-simplify: Simplify (- (/ 3 (pow v 2))) into (- (* 3 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (+ 1 (- (* 3 (/ 1 (pow v 2))))) into (- 1 (* 3 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (* 2 (- 1 (* 3 (/ 1 (pow v 2))))) into (* 2 (- 1 (* 3 (/ 1 (pow v 2))))) * [misc]backup-simplify: Simplify (sqrt (* 2 (- 1 (* 3 (/ 1 (pow v 2)))))) into (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 v) (/ 0 v)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 v) (/ 0 v)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 v) 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 3 v) 0) (* 0 (/ 1 v))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- 1 (* 3 (/ 1 (pow v 2)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 2 (- 1 (* 3 (/ 1 (pow v 2)))))))) into 0 * [misc]backup-simplify: Simplify (/ (/ (- 1 (* 5 (/ 1 (pow v 2)))) PI) (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) into (* (/ (- 1 (* 5 (/ 1 (pow v 2)))) (* (sqrt 2) PI)) (sqrt (/ 1 (- 1 (* 3 (/ 1 (pow v 2))))))) * [misc]taylor: Taking taylor expansion of (* (/ 1 t) (- 1 (* (/ 1 v) (/ 1 v)))) in t * [misc]taylor: Taking taylor expansion of (/ 1 t) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in t * [misc]taylor: Taking taylor expansion of (/ 1 v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (/ 1 v) into (/ 1 v) * [misc]taylor: Taking taylor expansion of (/ 1 v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (/ 1 v) into (/ 1 v) * [misc]backup-simplify: Simplify (* (/ 1 v) (/ 1 v)) into (/ 1 (pow v 2)) * [misc]backup-simplify: Simplify (- (/ 1 (pow v 2))) into (- (/ 1 (pow v 2))) * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 (pow v 2)))) into (- 1 (/ 1 (pow v 2))) * [misc]backup-simplify: Simplify (* 1 (- 1 (/ 1 (pow v 2)))) into (- 1 (/ 1 (pow v 2))) * [misc]backup-simplify: Simplify (/ (* (/ (- 1 (* 5 (/ 1 (pow v 2)))) (* (sqrt 2) PI)) (sqrt (/ 1 (- 1 (* 3 (/ 1 (pow v 2))))))) (- 1 (/ 1 (pow v 2)))) into (* (/ (- 1 (* 5 (/ 1 (pow v 2)))) (* (sqrt 2) (* (- 1 (/ 1 (pow v 2))) PI))) (sqrt (/ 1 (- 1 (* 3 (/ 1 (pow v 2))))))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) PI) (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))))) (* (/ 1 t) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) PI) (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) PI) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) (/ 1 v)) 5) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 5) into 5 * [misc]backup-simplify: Simplify (- 5) into -5 * [misc]backup-simplify: Simplify (+ 0 -5) into -5 * [misc]backup-simplify: Simplify (/ -5 PI) into (/ -5 PI) * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 v) 3) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) 3) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) 3) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 3) into 3 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* 2 -3) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -3)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ -5 PI) (sqrt -6)) into (/ -5 (* (sqrt -6) PI)) * [misc]taylor: Taking taylor expansion of (* (/ 1 t) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 1 t) in v * [misc]taylor: Taking taylor expansion of t in v * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (/ 1 t) into (/ 1 t) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ 1 t) -1) into (/ -1 t) * [misc]backup-simplify: Simplify (/ (/ -5 (* (sqrt -6) PI)) (/ -1 t)) into (* 5 (/ t (* (sqrt -6) PI))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) PI) (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))))) (* (/ 1 t) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) PI) (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) PI) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) (/ 1 v)) 5) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 5) into 5 * [misc]backup-simplify: Simplify (- 5) into -5 * [misc]backup-simplify: Simplify (+ 0 -5) into -5 * [misc]backup-simplify: Simplify (/ -5 PI) into (/ -5 PI) * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 v) 3) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) 3) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) 3) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 3) into 3 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* 2 -3) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -3)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ -5 PI) (sqrt -6)) into (/ -5 (* (sqrt -6) PI)) * [misc]taylor: Taking taylor expansion of (* (/ 1 t) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 1 t) in v * [misc]taylor: Taking taylor expansion of t in v * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (/ 1 t) into (/ 1 t) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ 1 t) -1) into (/ -1 t) * [misc]backup-simplify: Simplify (/ (/ -5 (* (sqrt -6) PI)) (/ -1 t)) into (* 5 (/ t (* (sqrt -6) PI))) * [misc]taylor: Taking taylor expansion of (* 5 (/ t (* (sqrt -6) PI))) in t * [misc]taylor: Taking taylor expansion of 5 in t * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (/ t (* (sqrt -6) PI)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sqrt -6) PI) in t * [misc]taylor: Taking taylor expansion of (sqrt -6) in t * [misc]taylor: Taking taylor expansion of -6 in t * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (sqrt -6) PI) into (* (sqrt -6) PI) * [misc]backup-simplify: Simplify (/ 1 (* (sqrt -6) PI)) into (/ 1 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (* 5 (/ 1 (* (sqrt -6) PI))) into (/ 5 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (/ 5 (* (sqrt -6) PI)) into (/ 5 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 5)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -5 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -5 (* (sqrt -6) PI)) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 t) (/ 0 t)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 t) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 t)) (+ (* (* 5 (/ t (* (sqrt -6) PI))) (/ 0 (/ -1 t))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt -6) 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt -6) PI)) (+ (* (/ 1 (* (sqrt -6) PI)) (/ 0 (* (sqrt -6) PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (* 0 (/ 1 (* (sqrt -6) PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 5))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 PI) (+ (* (/ -5 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into (/ 1 PI) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 2 1) (+ (* 0 0) (* 0 -3))) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (- (/ (/ 1 PI) (sqrt -6)) (+ (* (/ -5 (* (sqrt -6) PI)) (/ (/ 1 (sqrt -6)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))))) into (+ (* 5 (/ 1 (* (pow (sqrt -6) 3) PI))) (/ 1 (* (sqrt -6) PI))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 t) (/ 0 t)) (* 0 (/ 0 t)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 t) 1) (+ (* 0 0) (* 0 -1))) into (/ 1 t) * [misc]backup-simplify: Simplify (- (/ (+ (* 5 (/ 1 (* (pow (sqrt -6) 3) PI))) (/ 1 (* (sqrt -6) PI))) (/ -1 t)) (+ (* (* 5 (/ t (* (sqrt -6) PI))) (/ (/ 1 t) (/ -1 t))) (* 0 (/ 0 (/ -1 t))))) into (- (* 4 (/ t (* (sqrt -6) PI))) (* 5 (/ t (* (pow (sqrt -6) 3) PI)))) * [misc]taylor: Taking taylor expansion of (- (* 4 (/ t (* (sqrt -6) PI))) (* 5 (/ t (* (pow (sqrt -6) 3) PI)))) in t * [misc]taylor: Taking taylor expansion of (* 4 (/ t (* (sqrt -6) PI))) in t * [misc]taylor: Taking taylor expansion of 4 in t * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ t (* (sqrt -6) PI)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sqrt -6) PI) in t * [misc]taylor: Taking taylor expansion of (sqrt -6) in t * [misc]taylor: Taking taylor expansion of -6 in t * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (sqrt -6) PI) into (* (sqrt -6) PI) * [misc]backup-simplify: Simplify (/ 1 (* (sqrt -6) PI)) into (/ 1 (* (sqrt -6) PI)) * [misc]taylor: Taking taylor expansion of (* 5 (/ t (* (pow (sqrt -6) 3) PI))) in t * [misc]taylor: Taking taylor expansion of 5 in t * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (/ t (* (pow (sqrt -6) 3) PI)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (sqrt -6) 3) PI) in t * [misc]taylor: Taking taylor expansion of (pow (sqrt -6) 3) in t * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqrt -6)))) in t * [misc]taylor: Taking taylor expansion of (* 3 (log (sqrt -6))) in t * [misc]taylor: Taking taylor expansion of 3 in t * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqrt -6)) in t * [misc]taylor: Taking taylor expansion of (sqrt -6) in t * [misc]taylor: Taking taylor expansion of -6 in t * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (log (sqrt -6)) into (log (sqrt -6)) * [misc]backup-simplify: Simplify (* 3 (log (sqrt -6))) into (* 3 (log (sqrt -6))) * [misc]backup-simplify: Simplify (exp (* 3 (log (sqrt -6)))) into (pow (sqrt -6) 3) * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (pow (sqrt -6) 3) PI) into (* (pow (sqrt -6) 3) PI) * [misc]backup-simplify: Simplify (/ 1 (* (pow (sqrt -6) 3) PI)) into (/ 1 (* (pow (sqrt -6) 3) PI)) * [misc]backup-simplify: Simplify (* 4 (/ 1 (* (sqrt -6) PI))) into (/ 4 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (* 5 (/ 1 (* (pow (sqrt -6) 3) PI))) into (/ 5 (* (pow (sqrt -6) 3) PI)) * [misc]backup-simplify: Simplify (- (/ 5 (* (pow (sqrt -6) 3) PI))) into (- (* 5 (/ 1 (* (pow (sqrt -6) 3) PI)))) * [misc]backup-simplify: Simplify (+ (/ 4 (* (sqrt -6) PI)) (- (* 5 (/ 1 (* (pow (sqrt -6) 3) PI))))) into (- (* 4 (/ 1 (* (sqrt -6) PI))) (* 5 (/ 1 (* (pow (sqrt -6) 3) PI)))) * [misc]backup-simplify: Simplify (- (* 4 (/ 1 (* (sqrt -6) PI))) (* 5 (/ 1 (* (pow (sqrt -6) 3) PI)))) into (- (* 4 (/ 1 (* (sqrt -6) PI))) (* 5 (/ 1 (* (pow (sqrt -6) 3) PI)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt -6) 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt -6) PI)) (+ (* (/ 1 (* (sqrt -6) PI)) (/ 0 (* (sqrt -6) PI))) (* 0 (/ 0 (* (sqrt -6) PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (+ (* 0 0) (* 0 (/ 1 (* (sqrt -6) PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 5)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -5 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (+ (* 0 0) (* 0 -3)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -5 (* (sqrt -6) PI)) (/ 0 (sqrt -6))) (* 0 (/ (/ 1 (sqrt -6)) (sqrt -6))) (* (+ (* 5 (/ 1 (* (pow (sqrt -6) 3) PI))) (/ 1 (* (sqrt -6) PI))) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 t) (/ 0 t)) (* 0 (/ 0 t)) (* 0 (/ 0 t)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 t) 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 t)) (+ (* (* 5 (/ t (* (sqrt -6) PI))) (/ 0 (/ -1 t))) (* 0 (/ (/ 1 t) (/ -1 t))) (* (- (* 4 (/ t (* (sqrt -6) PI))) (* 5 (/ t (* (pow (sqrt -6) 3) PI)))) (/ 0 (/ -1 t))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt -6) 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt -6) PI)) (+ (* (/ 1 (* (sqrt -6) PI)) (/ 0 (* (sqrt -6) PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ 1 (* (sqrt -6) PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt -6) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (sqrt -6)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (sqrt -6)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (sqrt -6) 3) 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (pow (sqrt -6) 3) PI)) (+ (* (/ 1 (* (pow (sqrt -6) 3) PI)) (/ 0 (* (pow (sqrt -6) 3) PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (* 0 (/ 1 (* (pow (sqrt -6) 3) PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt -6) 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt -6) PI)) (+ (* (/ 1 (* (sqrt -6) PI)) (/ 0 (* (sqrt -6) PI))) (* 0 (/ 0 (* (sqrt -6) PI))) (* 0 (/ 0 (* (sqrt -6) PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (sqrt -6) PI)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- (* 4 (/ 1 (* (sqrt -6) PI))) (* 5 (/ 1 (* (pow (sqrt -6) 3) PI)))) (* (/ 1 t) (pow (/ 1 v) 3))) (* (/ 5 (* (sqrt -6) PI)) (* (/ 1 t) (/ 1 v)))) into (- (+ (* 4 (/ 1 (* t (* (pow v 3) (* (sqrt -6) PI))))) (* 5 (/ 1 (* t (* v (* (sqrt -6) PI)))))) (* 5 (/ 1 (* t (* (pow v 3) (* (pow (sqrt -6) 3) PI)))))) * [misc]approximate: Taking taylor expansion of (/ (/ (/ (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) PI) (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))))) (* (/ 1 (- t)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in (v t) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) PI) (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))))) (* (/ 1 (- t)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in t * [misc]taylor: Taking taylor expansion of (/ (/ (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) PI) (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))))) in t * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) PI) in t * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) (/ 1 (- v))) 5) in t * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in t * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in t * [misc]taylor: Taking taylor expansion of (- v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (/ 1 (- v)) into (/ -1 v) * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in t * [misc]taylor: Taking taylor expansion of (- v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (/ 1 (- v)) into (/ -1 v) * [misc]taylor: Taking taylor expansion of 5 in t * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (/ -1 v) (/ -1 v)) into (/ 1 (pow v 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow v 2)) 5) into (/ 5 (pow v 2)) * [misc]backup-simplify: Simplify (- (/ 5 (pow v 2))) into (- (* 5 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (+ 1 (- (* 5 (/ 1 (pow v 2))))) into (- 1 (* 5 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (/ (- 1 (* 5 (/ 1 (pow v 2)))) PI) into (/ (- 1 (* 5 (/ 1 (pow v 2)))) PI) * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))) in t * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) 3) (/ 1 (- v))) in t * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) 3) in t * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in t * [misc]taylor: Taking taylor expansion of (- v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (/ 1 (- v)) into (/ -1 v) * [misc]taylor: Taking taylor expansion of 3 in t * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in t * [misc]taylor: Taking taylor expansion of (- v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (/ 1 (- v)) into (/ -1 v) * [misc]backup-simplify: Simplify (* (/ -1 v) 3) into (/ -3 v) * [misc]backup-simplify: Simplify (* (/ -3 v) (/ -1 v)) into (/ 3 (pow v 2)) * [misc]backup-simplify: Simplify (- (/ 3 (pow v 2))) into (- (* 3 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (+ 1 (- (* 3 (/ 1 (pow v 2))))) into (- 1 (* 3 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (* 2 (- 1 (* 3 (/ 1 (pow v 2))))) into (* 2 (- 1 (* 3 (/ 1 (pow v 2))))) * [misc]backup-simplify: Simplify (sqrt (* 2 (- 1 (* 3 (/ 1 (pow v 2)))))) into (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 v) (/ 0 (- v))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 v) (/ 0 (- v))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 v) 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -3 v) 0) (* 0 (/ -1 v))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- 1 (* 3 (/ 1 (pow v 2)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 2 (- 1 (* 3 (/ 1 (pow v 2)))))))) into 0 * [misc]backup-simplify: Simplify (/ (/ (- 1 (* 5 (/ 1 (pow v 2)))) PI) (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) into (* (/ (- 1 (* 5 (/ 1 (pow v 2)))) (* (sqrt 2) PI)) (sqrt (/ 1 (- 1 (* 3 (/ 1 (pow v 2))))))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- t)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in t * [misc]taylor: Taking taylor expansion of (/ 1 (- t)) in t * [misc]taylor: Taking taylor expansion of (- t) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in t * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in t * [misc]taylor: Taking taylor expansion of (- v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (/ 1 (- v)) into (/ -1 v) * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in t * [misc]taylor: Taking taylor expansion of (- v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (/ 1 (- v)) into (/ -1 v) * [misc]backup-simplify: Simplify (* (/ -1 v) (/ -1 v)) into (/ 1 (pow v 2)) * [misc]backup-simplify: Simplify (- (/ 1 (pow v 2))) into (- (/ 1 (pow v 2))) * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 (pow v 2)))) into (- 1 (/ 1 (pow v 2))) * [misc]backup-simplify: Simplify (* -1 (- 1 (/ 1 (pow v 2)))) into (* -1 (- 1 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (/ (* (/ (- 1 (* 5 (/ 1 (pow v 2)))) (* (sqrt 2) PI)) (sqrt (/ 1 (- 1 (* 3 (/ 1 (pow v 2))))))) (* -1 (- 1 (/ 1 (pow v 2))))) into (* -1 (* (/ (- 1 (* 5 (/ 1 (pow v 2)))) (* (sqrt 2) (* (- 1 (/ 1 (pow v 2))) PI))) (sqrt (/ 1 (- 1 (* 3 (/ 1 (pow v 2)))))))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) PI) (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))))) (* (/ 1 (- t)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) PI) (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) PI) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) (/ 1 (- v))) 5) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 5) into 5 * [misc]backup-simplify: Simplify (- 5) into -5 * [misc]backup-simplify: Simplify (+ 0 -5) into -5 * [misc]backup-simplify: Simplify (/ -5 PI) into (/ -5 PI) * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) 3) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) 3) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 3) into -3 * [misc]backup-simplify: Simplify (* -3 -1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* 2 -3) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -3)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ -5 PI) (sqrt -6)) into (/ -5 (* (sqrt -6) PI)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- t)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- t)) in v * [misc]taylor: Taking taylor expansion of (- t) in v * [misc]taylor: Taking taylor expansion of t in v * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (/ 1 (- t)) into (/ -1 t) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 t) -1) into (/ 1 t) * [misc]backup-simplify: Simplify (/ (/ -5 (* (sqrt -6) PI)) (/ 1 t)) into (* -5 (/ t (* (sqrt -6) PI))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) PI) (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))))) (* (/ 1 (- t)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) PI) (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) PI) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) (/ 1 (- v))) 5) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 5) into 5 * [misc]backup-simplify: Simplify (- 5) into -5 * [misc]backup-simplify: Simplify (+ 0 -5) into -5 * [misc]backup-simplify: Simplify (/ -5 PI) into (/ -5 PI) * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) 3) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) 3) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 3) into -3 * [misc]backup-simplify: Simplify (* -3 -1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* 2 -3) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -3)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ -5 PI) (sqrt -6)) into (/ -5 (* (sqrt -6) PI)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- t)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- t)) in v * [misc]taylor: Taking taylor expansion of (- t) in v * [misc]taylor: Taking taylor expansion of t in v * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (/ 1 (- t)) into (/ -1 t) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 t) -1) into (/ 1 t) * [misc]backup-simplify: Simplify (/ (/ -5 (* (sqrt -6) PI)) (/ 1 t)) into (* -5 (/ t (* (sqrt -6) PI))) * [misc]taylor: Taking taylor expansion of (* -5 (/ t (* (sqrt -6) PI))) in t * [misc]taylor: Taking taylor expansion of -5 in t * [misc]backup-simplify: Simplify -5 into -5 * [misc]taylor: Taking taylor expansion of (/ t (* (sqrt -6) PI)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sqrt -6) PI) in t * [misc]taylor: Taking taylor expansion of (sqrt -6) in t * [misc]taylor: Taking taylor expansion of -6 in t * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (sqrt -6) PI) into (* (sqrt -6) PI) * [misc]backup-simplify: Simplify (/ 1 (* (sqrt -6) PI)) into (/ 1 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (* -5 (/ 1 (* (sqrt -6) PI))) into (/ -5 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (/ -5 (* (sqrt -6) PI)) into (/ -5 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 5)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -5 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -5 (* (sqrt -6) PI)) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 t) (/ 0 (- t))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 t) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 t)) (+ (* (* -5 (/ t (* (sqrt -6) PI))) (/ 0 (/ 1 t))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt -6) 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt -6) PI)) (+ (* (/ 1 (* (sqrt -6) PI)) (/ 0 (* (sqrt -6) PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* -5 0) (* 0 (/ 1 (* (sqrt -6) PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 5))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 PI) (+ (* (/ -5 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into (/ 1 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 2 1) (+ (* 0 0) (* 0 -3))) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (- (/ (/ 1 PI) (sqrt -6)) (+ (* (/ -5 (* (sqrt -6) PI)) (/ (/ 1 (sqrt -6)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))))) into (+ (* 5 (/ 1 (* (pow (sqrt -6) 3) PI))) (/ 1 (* (sqrt -6) PI))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 t) (/ 0 (- t))) (* 0 (/ 0 (- t))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 t) 1) (+ (* 0 0) (* 0 -1))) into (- (/ 1 t)) * [misc]backup-simplify: Simplify (- (/ (+ (* 5 (/ 1 (* (pow (sqrt -6) 3) PI))) (/ 1 (* (sqrt -6) PI))) (/ 1 t)) (+ (* (* -5 (/ t (* (sqrt -6) PI))) (/ (- (/ 1 t)) (/ 1 t))) (* 0 (/ 0 (/ 1 t))))) into (- (* 5 (/ t (* (pow (sqrt -6) 3) PI))) (* 4 (/ t (* (sqrt -6) PI)))) * [misc]taylor: Taking taylor expansion of (- (* 5 (/ t (* (pow (sqrt -6) 3) PI))) (* 4 (/ t (* (sqrt -6) PI)))) in t * [misc]taylor: Taking taylor expansion of (* 5 (/ t (* (pow (sqrt -6) 3) PI))) in t * [misc]taylor: Taking taylor expansion of 5 in t * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (/ t (* (pow (sqrt -6) 3) PI)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (sqrt -6) 3) PI) in t * [misc]taylor: Taking taylor expansion of (pow (sqrt -6) 3) in t * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqrt -6)))) in t * [misc]taylor: Taking taylor expansion of (* 3 (log (sqrt -6))) in t * [misc]taylor: Taking taylor expansion of 3 in t * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqrt -6)) in t * [misc]taylor: Taking taylor expansion of (sqrt -6) in t * [misc]taylor: Taking taylor expansion of -6 in t * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (log (sqrt -6)) into (log (sqrt -6)) * [misc]backup-simplify: Simplify (* 3 (log (sqrt -6))) into (* 3 (log (sqrt -6))) * [misc]backup-simplify: Simplify (exp (* 3 (log (sqrt -6)))) into (pow (sqrt -6) 3) * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (pow (sqrt -6) 3) PI) into (* (pow (sqrt -6) 3) PI) * [misc]backup-simplify: Simplify (/ 1 (* (pow (sqrt -6) 3) PI)) into (/ 1 (* (pow (sqrt -6) 3) PI)) * [misc]taylor: Taking taylor expansion of (* 4 (/ t (* (sqrt -6) PI))) in t * [misc]taylor: Taking taylor expansion of 4 in t * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ t (* (sqrt -6) PI)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sqrt -6) PI) in t * [misc]taylor: Taking taylor expansion of (sqrt -6) in t * [misc]taylor: Taking taylor expansion of -6 in t * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (sqrt -6) PI) into (* (sqrt -6) PI) * [misc]backup-simplify: Simplify (/ 1 (* (sqrt -6) PI)) into (/ 1 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (* 5 (/ 1 (* (pow (sqrt -6) 3) PI))) into (/ 5 (* (pow (sqrt -6) 3) PI)) * [misc]backup-simplify: Simplify (* 4 (/ 1 (* (sqrt -6) PI))) into (/ 4 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (- (/ 4 (* (sqrt -6) PI))) into (- (* 4 (/ 1 (* (sqrt -6) PI)))) * [misc]backup-simplify: Simplify (+ (/ 5 (* (pow (sqrt -6) 3) PI)) (- (* 4 (/ 1 (* (sqrt -6) PI))))) into (- (* 5 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4 (/ 1 (* (sqrt -6) PI)))) * [misc]backup-simplify: Simplify (- (* 5 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4 (/ 1 (* (sqrt -6) PI)))) into (- (* 5 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4 (/ 1 (* (sqrt -6) PI)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt -6) 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt -6) PI)) (+ (* (/ 1 (* (sqrt -6) PI)) (/ 0 (* (sqrt -6) PI))) (* 0 (/ 0 (* (sqrt -6) PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* -5 0) (+ (* 0 0) (* 0 (/ 1 (* (sqrt -6) PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 5)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -5 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (+ (* 0 0) (* 0 -3)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -5 (* (sqrt -6) PI)) (/ 0 (sqrt -6))) (* 0 (/ (/ 1 (sqrt -6)) (sqrt -6))) (* (+ (* 5 (/ 1 (* (pow (sqrt -6) 3) PI))) (/ 1 (* (sqrt -6) PI))) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 t) (/ 0 (- t))) (* 0 (/ 0 (- t))) (* 0 (/ 0 (- t))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 t) 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 t)) (+ (* (* -5 (/ t (* (sqrt -6) PI))) (/ 0 (/ 1 t))) (* 0 (/ (- (/ 1 t)) (/ 1 t))) (* (- (* 5 (/ t (* (pow (sqrt -6) 3) PI))) (* 4 (/ t (* (sqrt -6) PI)))) (/ 0 (/ 1 t))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt -6) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (sqrt -6)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (sqrt -6)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (sqrt -6) 3) 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (pow (sqrt -6) 3) PI)) (+ (* (/ 1 (* (pow (sqrt -6) 3) PI)) (/ 0 (* (pow (sqrt -6) 3) PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (* 0 (/ 1 (* (pow (sqrt -6) 3) PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt -6) 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt -6) PI)) (+ (* (/ 1 (* (sqrt -6) PI)) (/ 0 (* (sqrt -6) PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ 1 (* (sqrt -6) PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt -6) 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt -6) PI)) (+ (* (/ 1 (* (sqrt -6) PI)) (/ 0 (* (sqrt -6) PI))) (* 0 (/ 0 (* (sqrt -6) PI))) (* 0 (/ 0 (* (sqrt -6) PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* -5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (sqrt -6) PI)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- (* 5 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4 (/ 1 (* (sqrt -6) PI)))) (* (/ 1 (- t)) (pow (/ 1 (- v)) 3))) (* (/ -5 (* (sqrt -6) PI)) (* (/ 1 (- t)) (/ 1 (- v))))) into (- (* 5 (/ 1 (* t (* (pow v 3) (* (pow (sqrt -6) 3) PI))))) (+ (* 4 (/ 1 (* t (* (pow v 3) (* (sqrt -6) PI))))) (* 5 (/ 1 (* t (* v (* (sqrt -6) PI))))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (* 2 (- 1 (* (* v 3) v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (* 2 (- 1 (* (* v 3) v))))) in v * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (* v v) 5)) PI) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (* v v) 5)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* v v) 5) in v * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 5) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* v 3) v)))) in v * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* v 3) v))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* v 3) v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* v 3) v) in v * [misc]taylor: Taking taylor expansion of (* v 3) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 3) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 3)) into 3 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 3 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (sqrt 2)) into (/ 1 (* (sqrt 2) PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (* 2 (- 1 (* (* v 3) v))))) in v * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (* v v) 5)) PI) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (* v v) 5)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* v v) 5) in v * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 5) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* v 3) v)))) in v * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* v 3) v))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* v 3) v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* v 3) v) in v * [misc]taylor: Taking taylor expansion of (* v 3) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 3) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 3)) into 3 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 3 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (sqrt 2)) into (/ 1 (* (sqrt 2) PI)) * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) PI)) into (/ 1 (* (sqrt 2) PI)) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 5)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (* (sqrt 2) PI)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 5))) into 5 * [misc]backup-simplify: Simplify (- 5) into -5 * [misc]backup-simplify: Simplify (+ 0 -5) into -5 * [misc]backup-simplify: Simplify (- (/ -5 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into (- (* 5 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 1) (* 0 0))) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (+ (* 2 -3) (+ (* 0 0) (* 0 1))) into -6 * [misc]backup-simplify: Simplify (/ (- -6 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ -3 (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ (- (* 5 (/ 1 PI))) (sqrt 2)) (+ (* (/ 1 (* (sqrt 2) PI)) (/ (/ -3 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 3 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 5 (/ 1 (* (sqrt 2) PI)))) * [misc]backup-simplify: Simplify (- (* 3 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 5 (/ 1 (* (sqrt 2) PI)))) into (- (* 3 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 5 (/ 1 (* (sqrt 2) PI)))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 5)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* (- (* 5 (/ 1 PI))) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 -3) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -3 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (* (sqrt 2) PI)) (/ 0 (sqrt 2))) (* 0 (/ (/ -3 (sqrt 2)) (sqrt 2))) (* (- (* 3 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 5 (/ 1 (* (sqrt 2) PI)))) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 5))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* (- (* 5 (/ 1 PI))) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 -3) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ -3 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (/ -9/2 (pow (sqrt 2) 3)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (* (sqrt 2) PI)) (/ (/ -9/2 (pow (sqrt 2) 3)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 3 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 5 (/ 1 (* (sqrt 2) PI)))) (/ (/ -3 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 27/2 (/ 1 (* (pow (sqrt 2) 5) PI))) (* 15 (/ 1 (* (pow (sqrt 2) 3) PI)))) * [misc]backup-simplify: Simplify (- (* 27/2 (/ 1 (* (pow (sqrt 2) 5) PI))) (* 15 (/ 1 (* (pow (sqrt 2) 3) PI)))) into (- (* 27/2 (/ 1 (* (pow (sqrt 2) 5) PI))) (* 15 (/ 1 (* (pow (sqrt 2) 3) PI)))) * [misc]backup-simplify: Simplify (+ (* (- (* 27/2 (/ 1 (* (pow (sqrt 2) 5) PI))) (* 15 (/ 1 (* (pow (sqrt 2) 3) PI)))) (pow v 4)) (+ (* (- (* 3 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 5 (/ 1 (* (sqrt 2) PI)))) (pow v 2)) (/ 1 (* (sqrt 2) PI)))) into (- (+ (* 27/2 (/ (pow v 4) (* (pow (sqrt 2) 5) PI))) (+ (/ 1 (* (sqrt 2) PI)) (* 3 (/ (pow v 2) (* (pow (sqrt 2) 3) PI))))) (+ (* 5 (/ (pow v 2) (* (sqrt 2) PI))) (* 15 (/ (pow v 4) (* (pow (sqrt 2) 3) PI))))) * [misc]approximate: Taking taylor expansion of (/ (/ (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) PI) (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) PI) (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) PI) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) (/ 1 v)) 5) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 5) into 5 * [misc]backup-simplify: Simplify (- 5) into -5 * [misc]backup-simplify: Simplify (+ 0 -5) into -5 * [misc]backup-simplify: Simplify (/ -5 PI) into (/ -5 PI) * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 v) 3) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) 3) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) 3) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 3) into 3 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* 2 -3) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -3)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ -5 PI) (sqrt -6)) into (/ -5 (* (sqrt -6) PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) PI) (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) PI) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) (/ 1 v)) 5) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 5) into 5 * [misc]backup-simplify: Simplify (- 5) into -5 * [misc]backup-simplify: Simplify (+ 0 -5) into -5 * [misc]backup-simplify: Simplify (/ -5 PI) into (/ -5 PI) * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 v) 3) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) 3) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) 3) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 3) into 3 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* 2 -3) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -3)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ -5 PI) (sqrt -6)) into (/ -5 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (/ -5 (* (sqrt -6) PI)) into (/ -5 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 5)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -5 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -5 (* (sqrt -6) PI)) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 5))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 PI) (+ (* (/ -5 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into (/ 1 PI) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 2 1) (+ (* 0 0) (* 0 -3))) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (- (/ (/ 1 PI) (sqrt -6)) (+ (* (/ -5 (* (sqrt -6) PI)) (/ (/ 1 (sqrt -6)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))))) into (+ (* 5 (/ 1 (* (pow (sqrt -6) 3) PI))) (/ 1 (* (sqrt -6) PI))) * [misc]backup-simplify: Simplify (+ (* 5 (/ 1 (* (pow (sqrt -6) 3) PI))) (/ 1 (* (sqrt -6) PI))) into (+ (* 5 (/ 1 (* (pow (sqrt -6) 3) PI))) (/ 1 (* (sqrt -6) PI))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 5)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -5 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (+ (* 0 0) (* 0 -3)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -5 (* (sqrt -6) PI)) (/ 0 (sqrt -6))) (* 0 (/ (/ 1 (sqrt -6)) (sqrt -6))) (* (+ (* 5 (/ 1 (* (pow (sqrt -6) 3) PI))) (/ 1 (* (sqrt -6) PI))) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 5))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -5 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 -3))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -5 (* (sqrt -6) PI)) (/ (/ -1/2 (pow (sqrt -6) 3)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))) (* (+ (* 5 (/ 1 (* (pow (sqrt -6) 3) PI))) (/ 1 (* (sqrt -6) PI))) (/ (/ 1 (sqrt -6)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))))) into (- (+ (/ 1 (* (pow (sqrt -6) 3) PI)) (* 15/2 (/ 1 (* (pow (sqrt -6) 5) PI))))) * [misc]backup-simplify: Simplify (- (+ (/ 1 (* (pow (sqrt -6) 3) PI)) (* 15/2 (/ 1 (* (pow (sqrt -6) 5) PI))))) into (- (+ (/ 1 (* (pow (sqrt -6) 3) PI)) (* 15/2 (/ 1 (* (pow (sqrt -6) 5) PI))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (/ 1 (* (pow (sqrt -6) 3) PI)) (* 15/2 (/ 1 (* (pow (sqrt -6) 5) PI))))) (pow (/ 1 v) 3)) (+ (* (+ (* 5 (/ 1 (* (pow (sqrt -6) 3) PI))) (/ 1 (* (sqrt -6) PI))) (/ 1 v)) (* (/ -5 (* (sqrt -6) PI)) (/ 1 (/ 1 v))))) into (- (+ (/ 1 (* v (* (sqrt -6) PI))) (* 5 (/ 1 (* v (* (pow (sqrt -6) 3) PI))))) (+ (* 15/2 (/ 1 (* (pow v 3) (* (pow (sqrt -6) 5) PI)))) (+ (* 5 (/ v (* (sqrt -6) PI))) (/ 1 (* (pow v 3) (* (pow (sqrt -6) 3) PI)))))) * [misc]approximate: Taking taylor expansion of (/ (/ (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) PI) (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) PI) (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) PI) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) (/ 1 (- v))) 5) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 5) into 5 * [misc]backup-simplify: Simplify (- 5) into -5 * [misc]backup-simplify: Simplify (+ 0 -5) into -5 * [misc]backup-simplify: Simplify (/ -5 PI) into (/ -5 PI) * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) 3) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) 3) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 3) into -3 * [misc]backup-simplify: Simplify (* -3 -1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* 2 -3) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -3)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ -5 PI) (sqrt -6)) into (/ -5 (* (sqrt -6) PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) PI) (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) PI) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) (/ 1 (- v))) 5) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 5) into 5 * [misc]backup-simplify: Simplify (- 5) into -5 * [misc]backup-simplify: Simplify (+ 0 -5) into -5 * [misc]backup-simplify: Simplify (/ -5 PI) into (/ -5 PI) * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) 3) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) 3) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 3) into -3 * [misc]backup-simplify: Simplify (* -3 -1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* 2 -3) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -3)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ -5 PI) (sqrt -6)) into (/ -5 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (/ -5 (* (sqrt -6) PI)) into (/ -5 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 5)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -5 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -5 (* (sqrt -6) PI)) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 5))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 PI) (+ (* (/ -5 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into (/ 1 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 2 1) (+ (* 0 0) (* 0 -3))) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (- (/ (/ 1 PI) (sqrt -6)) (+ (* (/ -5 (* (sqrt -6) PI)) (/ (/ 1 (sqrt -6)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))))) into (+ (* 5 (/ 1 (* (pow (sqrt -6) 3) PI))) (/ 1 (* (sqrt -6) PI))) * [misc]backup-simplify: Simplify (+ (* 5 (/ 1 (* (pow (sqrt -6) 3) PI))) (/ 1 (* (sqrt -6) PI))) into (+ (* 5 (/ 1 (* (pow (sqrt -6) 3) PI))) (/ 1 (* (sqrt -6) PI))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 5)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -5 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (+ (* 0 0) (* 0 -3)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -5 (* (sqrt -6) PI)) (/ 0 (sqrt -6))) (* 0 (/ (/ 1 (sqrt -6)) (sqrt -6))) (* (+ (* 5 (/ 1 (* (pow (sqrt -6) 3) PI))) (/ 1 (* (sqrt -6) PI))) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 5))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -5 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 -3))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -5 (* (sqrt -6) PI)) (/ (/ -1/2 (pow (sqrt -6) 3)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))) (* (+ (* 5 (/ 1 (* (pow (sqrt -6) 3) PI))) (/ 1 (* (sqrt -6) PI))) (/ (/ 1 (sqrt -6)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))))) into (- (+ (/ 1 (* (pow (sqrt -6) 3) PI)) (* 15/2 (/ 1 (* (pow (sqrt -6) 5) PI))))) * [misc]backup-simplify: Simplify (- (+ (/ 1 (* (pow (sqrt -6) 3) PI)) (* 15/2 (/ 1 (* (pow (sqrt -6) 5) PI))))) into (- (+ (/ 1 (* (pow (sqrt -6) 3) PI)) (* 15/2 (/ 1 (* (pow (sqrt -6) 5) PI))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (/ 1 (* (pow (sqrt -6) 3) PI)) (* 15/2 (/ 1 (* (pow (sqrt -6) 5) PI))))) (pow (/ 1 (- v)) 3)) (+ (* (+ (* 5 (/ 1 (* (pow (sqrt -6) 3) PI))) (/ 1 (* (sqrt -6) PI))) (/ 1 (- v))) (* (/ -5 (* (sqrt -6) PI)) (/ 1 (/ 1 (- v)))))) into (- (+ (* 15/2 (/ 1 (* (pow v 3) (* (pow (sqrt -6) 5) PI)))) (+ (* 5 (/ v (* (sqrt -6) PI))) (/ 1 (* (pow v 3) (* (pow (sqrt -6) 3) PI))))) (+ (/ 1 (* v (* (sqrt -6) PI))) (* 5 (/ 1 (* v (* (pow (sqrt -6) 3) PI)))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (/ (- 1 (* (* v v) 5)) PI)) (log (sqrt (* 2 (- 1 (* (* v 3) v)))))) (log (* t (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * * [misc]simplify: iters left: 3 (281 enodes) * [exit]simplify: Simplified to (- (- (log (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (log (- t (* (* v t) v)))) (log (sqrt (- 2 (* (* 2 3) (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (exp (- (- (log (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (log (- t (* (* v t) v)))) (log (sqrt (- 2 (* (* 2 3) (* v v)))))))) * * * * [misc]progress: [ 21 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (* 2 (- 1 (* (* v 3) v)))))) (log (* t (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (265 enodes) * [exit]simplify: Simplified to (- (- (log (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (log (- t (* (* t v) v)))) (log (sqrt (- 2 (* (* 2 v) (* v 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (exp (- (- (log (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (log (- t (* (* t v) v)))) (log (sqrt (- 2 (* (* 2 v) (* v 3)))))))) * * * * [misc]progress: [ 22 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (/ (- 1 (* (* v v) 5)) PI) (/ (- 1 (* (* v v) 5)) PI)) (/ (- 1 (* (* v v) 5)) PI)) (* (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (sqrt (* 2 (- 1 (* (* v 3) v))))) (sqrt (* 2 (- 1 (* (* v 3) v)))))) (* (* (* t (- 1 (* v v))) (* t (- 1 (* v v)))) (* t (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (288 enodes) * [exit]simplify: Simplified to (* (/ (/ (- (/ 1 PI) (/ (* v v) (/ PI 5))) (* t (- 1 (* v v)))) (* (* t (- 1 (* v v))) (* t (- 1 (* v v))))) (/ (/ (* (- (/ 1 PI) (/ (* v v) (/ PI 5))) (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (* (- 1 (* 3 (* v v))) 2)) (sqrt (* (- 1 (* 3 (* v v))) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v t) (cbrt (* (/ (/ (- (/ 1 PI) (/ (* v v) (/ PI 5))) (* t (- 1 (* v v)))) (* (* t (- 1 (* v v))) (* t (- 1 (* v v))))) (/ (/ (* (- (/ 1 PI) (/ (* v v) (/ PI 5))) (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (* (- 1 (* 3 (* v v))) 2)) (sqrt (* (- 1 (* 3 (* v v))) 2)))))) * * * * [misc]progress: [ 25 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (* 2 (- 1 (* (* v 3) v))))) (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (* 2 (- 1 (* (* v 3) v)))))) (* (* (* t (- 1 (* v v))) (* t (- 1 (* v v)))) (* t (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (pow (/ (/ (- (/ 1 PI) (* (/ v PI) (* 5 v))) (* t (- 1 (* v v)))) (sqrt (* (- 1 (* (* v 3) v)) 2))) 3) * [misc]simplify: Simplified (2 1) to (λ (v t) (cbrt (pow (/ (/ (- (/ 1 PI) (* (/ v PI) (* 5 v))) (* t (- 1 (* v v)))) (sqrt (* (- 1 (* (* v 3) v)) 2))) 3))) * * * * [misc]progress: [ 26 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (sqrt (* 2 (- 1 (* (* v 3) v))))) (* t (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (291 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI t)) (- 1 (* v v))) (sqrt (- 2 (* (* v v) (* 2 3))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (- (/ (/ (/ 1 (* PI t)) (- 1 (* v v))) (sqrt (- 2 (* (* v v) (* 2 3))))) (/ (/ (/ (* (* v v) 5) PI) (sqrt (* 2 (- 1 (* (* v 3) v))))) (* t (- 1 (* v v)))))) * * * * [misc]progress: [ 31 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (* 2 (- 1 (* (* v 3) v))))))) t) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * * [misc]simplify: iters left: 2 (387 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ 1 PI) (/ (* v v) (/ PI 5))) (sqrt (- 2 (* (* v v) (* 3 2)))))) t) (cbrt (/ (- (/ 1 PI) (/ (* v v) (/ PI 5))) (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (cbrt (/ (- (/ 1 PI) (/ (* v v) (/ PI 5))) (sqrt (- 2 (* (* v v) (* 3 2)))))) t) (cbrt (/ (- (/ 1 PI) (/ (* v v) (/ PI 5))) (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (cbrt (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (* 2 (- 1 (* (* v 3) v)))))) (- 1 (* v v))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (* 2 (- 1 (* (* v 3) v)))))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * * [misc]simplify: iters left: 2 (388 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ 1 PI) (/ (* v v) (/ PI 5))) (sqrt (- 2 (* (* v v) (* 3 2)))))) (- 1 (* v v))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (cbrt (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (* 2 (- 1 (* (* v 3) v))))))) t) (/ (cbrt (/ (- (/ 1 PI) (/ (* v v) (/ PI 5))) (sqrt (- 2 (* (* v v) (* 3 2)))))) (- 1 (* v v))))) * * * * [misc]progress: [ 32 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (* 2 (- 1 (* (* v 3) v)))))) t) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (170 enodes) * * [misc]simplify: iters left: 2 (389 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ 1 PI) (* (/ v PI) (* 5 v))) (sqrt (- 2 (* (* 2 v) (* v 3)))))) t) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (/ (- (/ 1 PI) (* (/ v PI) (* 5 v))) (sqrt (- 2 (* (* 2 v) (* v 3)))))) t) (/ (sqrt (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (* 2 (- 1 (* (* v 3) v)))))) (- 1 (* v v))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (* 2 (- 1 (* (* v 3) v)))))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * * [misc]simplify: iters left: 2 (388 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ 1 PI) (/ (* v v) (/ PI 5))) (sqrt (- 2 (* (* v v) (* 3 2)))))) (- 1 (* v v))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (* 2 (- 1 (* (* v 3) v)))))) t) (/ (sqrt (/ (- (/ 1 PI) (/ (* v v) (/ PI 5))) (sqrt (- 2 (* (* v v) (* 3 2)))))) (- 1 (* v v))))) * * * * [misc]progress: [ 33 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) t) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (185 enodes) * * [misc]simplify: iters left: 2 (325 enodes) * * [misc]simplify: iters left: 1 (437 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (* t (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (* t (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (/ (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (- 1 (* v v))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * * [misc]simplify: iters left: 1 (415 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) t) (/ (/ (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))) * * * * [misc]progress: [ 34 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt 2)) t) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (/ (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (* (sqrt 2) t))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (/ (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (* (sqrt 2) t))) (/ (/ (cbrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (- 1 (* (* v 3) v)))) (- 1 (* v v))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (- 1 (* (* v 3) v)))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (276 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (sqrt (- 1 (* (* v 3) v)))) (- 1 (* v v))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt 2)) t) (/ (/ (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (sqrt (- 1 (* (* v 3) v)))) (- 1 (* v v))))) * * * * [misc]progress: [ 35 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) t) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (264 enodes) * * [misc]simplify: iters left: 1 (361 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (* (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (* (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) t)) (/ (/ (cbrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (- 1 (* v v))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * * [misc]simplify: iters left: 1 (415 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) t) (/ (/ (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))) * * * * [misc]progress: [ 36 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI))) 1) t) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (227 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) t) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) t) (/ (/ (cbrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (* 2 (- 1 (* (* v 3) v))))) (- 1 (* v v))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (* 2 (- 1 (* (* v 3) v))))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (277 enodes) * * [misc]simplify: iters left: 1 (419 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (sqrt (- 2 (* (* 2 3) (* v v))))) (- 1 (* v v))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI))) 1) t) (/ (/ (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (sqrt (- 2 (* (* 2 3) (* v v))))) (- 1 (* v v))))) * * * * [misc]progress: [ 37 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) t) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * * [misc]simplify: iters left: 1 (346 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (- 1 (* v v))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * * [misc]simplify: iters left: 1 (415 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) t) (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))) * * * * [misc]progress: [ 38 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt 2)) t) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (167 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (* t (sqrt 2))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (* t (sqrt 2))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (- 1 (* (* v 3) v)))) (- 1 (* v v))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (- 1 (* (* v 3) v)))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (276 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (sqrt (- 1 (* (* v 3) v)))) (- 1 (* v v))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt 2)) t) (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (sqrt (- 1 (* (* v 3) v)))) (- 1 (* v v))))) * * * * [misc]progress: [ 39 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) t) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (240 enodes) * * [misc]simplify: iters left: 1 (331 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) t) (sqrt (sqrt (- 2 (* (* 2 3) (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) t) (sqrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (- 1 (* v v))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * * [misc]simplify: iters left: 1 (415 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) t) (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))) * * * * [misc]progress: [ 40 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) 1) t) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (164 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) t) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) t) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (* 2 (- 1 (* (* v 3) v))))) (- 1 (* v v))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (* 2 (- 1 (* (* v 3) v))))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (277 enodes) * * [misc]simplify: iters left: 1 (419 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (sqrt (- 2 (* (* 2 3) (* v v))))) (- 1 (* v v))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) 1) t) (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (sqrt (- 2 (* (* 2 3) (* v v))))) (- 1 (* v v))))) * * * * [misc]progress: [ 41 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) t) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (187 enodes) * [exit]simplify: Simplified to (/ (/ 1 t) (* (cbrt (sqrt (- 2 (* (* v 2) (* v 3))))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ 1 t) (* (cbrt (sqrt (- 2 (* (* v 2) (* v 3))))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3))))))) (/ (/ (/ (- 1 (* (* v v) 5)) PI) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (- 1 (* v v))))) * [enter]simplify: Simplifying (/ (/ (/ (- 1 (* (* v v) 5)) PI) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (215 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 (* (* v v) 5)) (* PI (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) t) (/ (/ (- 1 (* (* v v) 5)) (* PI (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * * * * [misc]progress: [ 42 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt 2)) t) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (/ 1 t) (sqrt 2)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ 1 t) (sqrt 2)) (/ (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (- 1 (* (* v 3) v)))) (- 1 (* v v))))) * [enter]simplify: Simplifying (/ (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (- 1 (* (* v 3) v)))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 (* (* v v) 5)) (* (- 1 (* v v)) PI)) (sqrt (- 1 (* (* v v) 3)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ 1 (sqrt 2)) t) (/ (/ (- 1 (* (* v v) 5)) (* (- 1 (* v v)) PI)) (sqrt (- 1 (* (* v v) 3)))))) * * * * [misc]progress: [ 43 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) t) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (187 enodes) * [exit]simplify: Simplified to (/ (/ 1 t) (sqrt (sqrt (- 2 (* (* v v) (* 3 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ 1 t) (sqrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (- 1 (* v v))))) * [enter]simplify: Simplifying (/ (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (215 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 (* (* v v) 5)) (* PI (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 2 3) (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ 1 (sqrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) t) (/ (/ (- 1 (* (* v v) 5)) (* PI (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * * * * [misc]progress: [ 44 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) t) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ 1 t) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ 1 t) (/ (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (* 2 (- 1 (* (* v 3) v))))) (- 1 (* v v))))) * [enter]simplify: Simplifying (/ (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (* 2 (- 1 (* (* v 3) v))))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (214 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 (* (* v v) 5)) (* PI (- 1 (* v v)))) (sqrt (- 2 (* (* v v) (* 3 2))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ 1 t) (/ (/ (- 1 (* (* v v) 5)) (* PI (- 1 (* v v)))) (sqrt (- 2 (* (* v v) (* 3 2))))))) * * * * [misc]progress: [ 45 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- 1 (* (* v v) 5)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) t) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (252 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 (* (* v v) 5)) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (* (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (- 1 (* (* v v) 5)) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (* (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))) t)) (/ (/ (/ 1 PI) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (- 1 (* v v))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (206 enodes) * * [misc]simplify: iters left: 1 (343 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (- 1 (* (* v v) 5)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) t) (/ (/ (/ 1 PI) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))))) * * * * [misc]progress: [ 46 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- 1 (* (* v v) 5)) (sqrt 2)) t) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (270 enodes) * [exit]simplify: Simplified to (/ (- 1 (* (* 5 v) v)) (* t (sqrt 2))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (- 1 (* (* 5 v) v)) (* t (sqrt 2))) (/ (/ (/ 1 PI) (sqrt (- 1 (* (* v 3) v)))) (- 1 (* v v))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (sqrt (- 1 (* (* v 3) v)))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (208 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (- 1 (* v (* v 3))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (- 1 (* (* v v) 5)) (sqrt 2)) t) (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (- 1 (* v (* v 3))))))) * * * * [misc]progress: [ 47 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- 1 (* (* v v) 5)) (sqrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) t) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * * [misc]simplify: iters left: 2 (386 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 t) (* (* 5 v) (/ v t))) (sqrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (- (/ 1 t) (* (* 5 v) (/ v t))) (sqrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (/ (/ (/ 1 PI) (sqrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (- 1 (* v v))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (sqrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (206 enodes) * * [misc]simplify: iters left: 1 (343 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (- 1 (* (* v v) 5)) (sqrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) t) (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* v 3) (* 2 v)))))))) * * * * [misc]progress: [ 48 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- 1 (* (* v v) 5)) 1) t) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (297 enodes) * [exit]simplify: Simplified to (- (/ 1 t) (* (/ 5 t) (* v v))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (- (/ 1 t) (* (/ 5 t) (* v v))) (/ (/ (/ 1 PI) (sqrt (* 2 (- 1 (* (* v 3) v))))) (- 1 (* v v))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (sqrt (* 2 (- 1 (* (* v 3) v))))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (206 enodes) * * [misc]simplify: iters left: 1 (345 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (- 2 (* (* 2 v) (* v 3))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (- 1 (* (* v v) 5)) 1) t) (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (- 2 (* (* 2 v) (* v 3))))))) * * * * [misc]progress: [ 49 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 t) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 t) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ 1 t) (/ (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (* 2 (- 1 (* (* v 3) v))))) (- 1 (* v v))))) * [enter]simplify: Simplifying (/ (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (* 2 (- 1 (* (* v 3) v))))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (214 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 (* (* v v) 5)) (* PI (- 1 (* v v)))) (sqrt (- 2 (* (* v v) (* 3 2))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ 1 t) (/ (/ (- 1 (* (* v v) 5)) (* PI (- 1 (* v v)))) (sqrt (- 2 (* (* v v) (* 3 2))))))) * * * * [misc]progress: [ 50 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- 1 (* (* v v) 5)) PI) t) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (- 1 (* (* v v) 5)) (* PI t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (- 1 (* (* v v) 5)) (* PI t)) (/ (/ 1 (sqrt (* 2 (- 1 (* (* v 3) v))))) (- 1 (* v v))))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* 2 (- 1 (* (* v 3) v))))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (259 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* (* v 2) (* v 3))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (- 1 (* (* v v) 5)) PI) t) (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* (* v 2) (* v 3))))))) * * * * [misc]progress: [ 51 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) t) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (418 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 (* (* v v) 5)) (* t PI)) (sqrt (- 2 (* (pow (* v 3) 3) (* (* v v) (* v 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (- 1 (* (* v v) 5)) (* t PI)) (sqrt (- 2 (* (pow (* v 3) 3) (* (* v v) (* v 2)))))) (/ (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))) (- 1 (* v v))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * * [misc]simplify: iters left: 2 (275 enodes) * * [misc]simplify: iters left: 1 (441 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ (* (* v 3) v) 1))) (- 1 (* v v))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) t) (/ (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ (* (* v 3) v) 1))) (- 1 (* v v))))) * * * * [misc]progress: [ 52 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) t) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (293 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 (* v (* 5 v))) (* t PI)) (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (- 1 (* v (* 5 v))) (* t PI)) (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (/ (sqrt (+ 1 (* (* v 3) v))) (- 1 (* v v))))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 (* (* v 3) v))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 (* (* 3 v) v))) (- 1 (* v v))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (- 1 (* v (* 5 v))) (* t PI)) (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (/ (sqrt (+ 1 (* (* 3 v) v))) (- 1 (* v v))))) * * * * [misc]progress: [ 53 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (* v v)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (- 1 (* v v)) * [misc]simplify: Simplified (2 2) to (λ (v t) (/ (/ (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (* 2 (- 1 (* (* v 3) v))))) t) (- 1 (* v v)))) * * * * [misc]progress: [ 57 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (* 2 (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * * [misc]simplify: iters left: 2 (386 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ 1 PI) (* (* 5 v) (/ v PI))) (sqrt (- 2 (* (* v 3) (* 2 v)))))) (cbrt (/ (- (/ 1 PI) (* (* 5 v) (/ v PI))) (sqrt (- 2 (* (* v 3) (* 2 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (/ (* (cbrt (/ (- (/ 1 PI) (* (* 5 v) (/ v PI))) (sqrt (- 2 (* (* v 3) (* 2 v)))))) (cbrt (/ (- (/ 1 PI) (* (* 5 v) (/ v PI))) (sqrt (- 2 (* (* v 3) (* 2 v))))))) (/ (* t (- 1 (* v v))) (cbrt (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * * * [misc]progress: [ 58 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (* 2 (- 1 (* (* v 3) v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (167 enodes) * * [misc]simplify: iters left: 2 (384 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ 1 PI) (* (* v v) (/ 5 PI))) (sqrt (- 2 (* (* v 3) (* 2 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (/ (sqrt (/ (- (/ 1 PI) (* (* v v) (/ 5 PI))) (sqrt (- 2 (* (* v 3) (* 2 v)))))) (/ (* t (- 1 (* v v))) (sqrt (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * * * [misc]progress: [ 59 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (253 enodes) * * [misc]simplify: iters left: 1 (345 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (/ (* (/ (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (* t (- 1 (* v v))) (/ (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * * * [misc]progress: [ 60 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt 2)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (sqrt 2)) * [misc]simplify: Simplified (2 1) to (λ (v t) (/ (/ (* (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (sqrt 2)) (/ (* t (- 1 (* v v))) (/ (cbrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (- 1 (* (* v 3) v))))))) * * * * [misc]progress: [ 61 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (234 enodes) * * [misc]simplify: iters left: 1 (326 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (/ (/ (* (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (* t (- 1 (* v v))) (/ (cbrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * * * [misc]progress: [ 62 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (178 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (/ (* (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (/ (* t (- 1 (* v v))) (/ (cbrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * * * [misc]progress: [ 63 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (236 enodes) * * [misc]simplify: iters left: 1 (328 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * * * [misc]progress: [ 64 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt 2)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (sqrt 2)) * [misc]simplify: Simplified (2 1) to (λ (v t) (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (sqrt 2)) (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (- 1 (* (* v 3) v))))))) * * * * [misc]progress: [ 65 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (227 enodes) * * [misc]simplify: iters left: 1 (316 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (sqrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (sqrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * * * [misc]progress: [ 66 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) * [misc]simplify: Simplified (2 1) to (λ (v t) (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * * * [misc]progress: [ 67 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (- 2 (* (* 3 2) (* v v)))))) (cbrt (sqrt (- 2 (* (* 3 2) (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (/ (/ (/ 1 (cbrt (sqrt (- 2 (* (* 3 2) (* v v)))))) (cbrt (sqrt (- 2 (* (* 3 2) (* v v)))))) (/ (* t (- 1 (* v v))) (/ (/ (- 1 (* (* v v) 5)) PI) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * * * [misc]progress: [ 68 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 2)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 2)) * [misc]simplify: Simplified (2 1) to (λ (v t) (/ (/ 1 (sqrt 2)) (/ (* t (- 1 (* v v))) (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (- 1 (* (* v 3) v))))))) * * * * [misc]progress: [ 69 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (167 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (- 2 (* (* v v) (* 3 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (/ (/ 1 (sqrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (* t (- 1 (* v v))) (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * * * [misc]progress: [ 70 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (v t) (/ 1 (/ (* t (- 1 (* v v))) (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * * * [misc]progress: [ 71 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 (* (* v v) 5)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * * [misc]simplify: iters left: 2 (391 enodes) * [exit]simplify: Simplified to (/ (- 1 (* (* v v) 5)) (* (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (/ (/ (- 1 (* (* v v) 5)) (* (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))))) (/ (* t (- 1 (* v v))) (/ (/ 1 PI) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * * * [misc]progress: [ 72 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 (* (* v v) 5)) (sqrt 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (/ (- 1 (* (* v v) 5)) (sqrt 2)) * [misc]simplify: Simplified (2 1) to (λ (v t) (/ (/ (- 1 (* (* v v) 5)) (sqrt 2)) (/ (* t (- 1 (* v v))) (/ (/ 1 PI) (sqrt (- 1 (* (* v 3) v))))))) * * * * [misc]progress: [ 73 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 (* (* v v) 5)) (sqrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (223 enodes) * * [misc]simplify: iters left: 1 (319 enodes) * [exit]simplify: Simplified to (/ (- 1 (* (* v v) 5)) (sqrt (sqrt (- 2 (* (* 3 2) (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (/ (/ (- 1 (* (* v v) 5)) (sqrt (sqrt (- 2 (* (* 3 2) (* v v)))))) (/ (* t (- 1 (* v v))) (/ (/ 1 PI) (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * * * [misc]progress: [ 74 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 (* (* v v) 5)) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (172 enodes) * [exit]simplify: Simplified to (- 1 (* (* v v) 5)) * [misc]simplify: Simplified (2 1) to (λ (v t) (/ (- 1 (* (* v v) 5)) (/ (* t (- 1 (* v v))) (/ (/ 1 PI) (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * * * [misc]progress: [ 75 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 (* (* v v) 5)) PI) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (- (/ 1 PI) (/ (* 5 v) (/ PI v))) * [misc]simplify: Simplified (2 1) to (λ (v t) (/ (- (/ 1 PI) (/ (* 5 v) (/ PI v))) (/ (* t (- 1 (* v v))) (/ 1 (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * * * [misc]progress: [ 77 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (376 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 PI) (/ (* 5 v) (/ PI v))) (sqrt (- 2 (* (pow (* v 3) 3) (* (* v v) (* v 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (/ (/ (- (/ 1 PI) (/ (* 5 v) (/ PI v))) (sqrt (- 2 (* (pow (* v 3) 3) (* (* v v) (* v 2)))))) (/ (* t (- 1 (* v v))) (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))))) * * * * [misc]progress: [ 78 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (259 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 PI) (* (/ 5 PI) (* v v))) (sqrt (- 2 (* (* (* 3 v) 2) (* (* 3 v) (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (/ (/ (- (/ 1 PI) (* (/ 5 PI) (* v v))) (sqrt (- 2 (* (* (* 3 v) 2) (* (* 3 v) (* v v)))))) (/ (* t (- 1 (* v v))) (sqrt (+ 1 (* (* v 3) v)))))) * * * * [misc]progress: [ 79 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (+ (+ (* v v) 1) (* (* v v) (* v v))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (* 2 (- 1 (* (* v 3) v))))) (* t (- (pow 1 3) (pow (* v v) 3)))) (+ (+ (* v v) 1) (* (* v v) (* v v))))) * * * * [misc]progress: [ 80 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (* v v)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (+ 1 (* v v)) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (* 2 (- 1 (* (* v 3) v))))) (* t (- (* 1 1) (* (* v v) (* v v))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 81 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 (* (* v v) 5)) PI) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (- (/ 1 PI) (/ (* 5 v) (/ PI v))) * [misc]simplify: Simplified (2 1) to (λ (v t) (/ (- (/ 1 PI) (/ (* 5 v) (/ PI v))) (* (* t (- 1 (* v v))) (sqrt (* 2 (- 1 (* (* v 3) v))))))) * * * * [misc]progress: [ 82 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (- 1 (* (* v v) 5)) PI)) (log (sqrt (* 2 (- 1 (* (* v 3) v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (276 enodes) * * [misc]simplify: iters left: 1 (382 enodes) * [exit]simplify: Simplified to (- (log (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (log (sqrt (- 2 (* (* v 2) (* 3 v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v t) (/ (exp (- (log (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (log (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* t (- 1 (* v v))))) * * * * [misc]progress: [ 84 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 86 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (- 1 (* (* v v) 5)) PI) (/ (- 1 (* (* v v) 5)) PI)) (/ (- 1 (* (* v v) 5)) PI)) (* (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (sqrt (* 2 (- 1 (* (* v 3) v))))) (sqrt (* 2 (- 1 (* (* v 3) v)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (174 enodes) * [exit]simplify: Simplified to (/ (/ (pow (- (/ 1 PI) (* (/ 5 PI) (* v v))) 3) (* (- 1 (* 3 (* v v))) 2)) (sqrt (* (- 1 (* 3 (* v v))) 2))) * [misc]simplify: Simplified (2 1 1) to (λ (v t) (/ (cbrt (/ (/ (pow (- (/ 1 PI) (* (/ 5 PI) (* v v))) 3) (* (- 1 (* 3 (* v v))) 2)) (sqrt (* (- 1 (* 3 (* v v))) 2)))) (* t (- 1 (* v v))))) * * * * [misc]progress: [ 87 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 88 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 89 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 90 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 91 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 PI) (sqrt (* 2 (- 1 (* (* v 3) v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (/ (/ 1 PI) (sqrt (- 2 (* (* v v) (* 2 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (v t) (/ (- (/ (/ 1 PI) (sqrt (- 2 (* (* v v) (* 2 3))))) (/ (/ (* (* v v) 5) PI) (sqrt (* 2 (- 1 (* (* v 3) v)))))) (* t (- 1 (* v v))))) * * * * [misc]progress: [ 92 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (253 enodes) * * [misc]simplify: iters left: 1 (345 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) * [misc]simplify: Simplified (2 1 1) to (λ (v t) (/ (* (* (/ (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (* t (- 1 (* v v))))) * [enter]simplify: Simplifying (/ (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (227 enodes) * * [misc]simplify: iters left: 1 (316 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v t) (/ (* (/ (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* t (- 1 (* v v))))) * * * * [misc]progress: [ 93 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt 2)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (sqrt 2)) * [misc]simplify: Simplified (2 1 1) to (λ (v t) (/ (* (/ (* (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (sqrt 2)) (/ (cbrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (- 1 (* (* v 3) v))))) (* t (- 1 (* v v))))) * [enter]simplify: Simplifying (/ (cbrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (- 1 (* (* v 3) v)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (184 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (sqrt (- 1 (* (* v 3) v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v t) (/ (* (/ (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt 2)) (/ (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (sqrt (- 1 (* (* v 3) v))))) (* t (- 1 (* v v))))) * * * * [misc]progress: [ 94 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (234 enodes) * * [misc]simplify: iters left: 1 (326 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v t) (/ (* (/ (* (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (* t (- 1 (* v v))))) * [enter]simplify: Simplifying (/ (cbrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (227 enodes) * * [misc]simplify: iters left: 1 (316 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (sqrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v t) (/ (* (/ (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (sqrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* t (- 1 (* v v))))) * * * * [misc]progress: [ 95 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (178 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) * [misc]simplify: Simplified (2 1 1) to (λ (v t) (/ (* (* (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (/ (cbrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (* 2 (- 1 (* (* v 3) v)))))) (* t (- 1 (* v v))))) * [enter]simplify: Simplifying (/ (cbrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (* 2 (- 1 (* (* v 3) v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (227 enodes) * * [misc]simplify: iters left: 1 (316 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (sqrt (- 2 (* (* v 2) (* 3 v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v t) (/ (* (/ (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI))) 1) (/ (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (sqrt (- 2 (* (* v 2) (* 3 v)))))) (* t (- 1 (* v v))))) * * * * [misc]progress: [ 96 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (236 enodes) * * [misc]simplify: iters left: 1 (328 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v t) (/ (* (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (* t (- 1 (* v v))))) * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (227 enodes) * * [misc]simplify: iters left: 1 (316 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v t) (/ (* (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* t (- 1 (* v v))))) * * * * [misc]progress: [ 97 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt 2)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (sqrt 2)) * [misc]simplify: Simplified (2 1 1) to (λ (v t) (/ (* (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (sqrt 2)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (- 1 (* (* v 3) v))))) (* t (- 1 (* v v))))) * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (- 1 (* (* v 3) v)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (184 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (sqrt (- 1 (* (* v 3) v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v t) (/ (* (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt 2)) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (sqrt (- 1 (* (* v 3) v))))) (* t (- 1 (* v v))))) * * * * [misc]progress: [ 98 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (227 enodes) * * [misc]simplify: iters left: 1 (316 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (sqrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v t) (/ (* (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (sqrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (* t (- 1 (* v v))))) * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (227 enodes) * * [misc]simplify: iters left: 1 (316 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (sqrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v t) (/ (* (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (sqrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* t (- 1 (* v v))))) * * * * [misc]progress: [ 99 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v t) (/ (* (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (* 2 (- 1 (* (* v 3) v)))))) (* t (- 1 (* v v))))) * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (* 2 (- 1 (* (* v 3) v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (227 enodes) * * [misc]simplify: iters left: 1 (316 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (sqrt (- 2 (* (* v 2) (* 3 v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v t) (/ (* (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) 1) (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (sqrt (- 2 (* (* v 2) (* 3 v)))))) (* t (- 1 (* v v))))) * * * * [misc]progress: [ 100 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (- 2 (* (* 3 2) (* v v)))))) (cbrt (sqrt (- 2 (* (* 3 2) (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v t) (/ (* (/ (/ 1 (cbrt (sqrt (- 2 (* (* 3 2) (* v v)))))) (cbrt (sqrt (- 2 (* (* 3 2) (* v v)))))) (/ (/ (- 1 (* (* v v) 5)) PI) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (* t (- 1 (* v v))))) * [enter]simplify: Simplifying (/ (/ (- 1 (* (* v v) 5)) PI) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 PI) (* (* 5 v) (/ v PI))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v t) (/ (* (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- (/ 1 PI) (* (* 5 v) (/ v PI))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (* t (- 1 (* v v))))) * * * * [misc]progress: [ 101 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 2)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 2)) * [misc]simplify: Simplified (2 1 1) to (λ (v t) (/ (* (/ 1 (sqrt 2)) (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (- 1 (* (* v 3) v))))) (* t (- 1 (* v v))))) * [enter]simplify: Simplifying (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (- 1 (* (* v 3) v)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (292 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 PI) (* (/ v PI) (* 5 v))) (sqrt (- 1 (* (* v v) 3)))) * [misc]simplify: Simplified (2 1 2) to (λ (v t) (/ (* (/ 1 (sqrt 2)) (/ (- (/ 1 PI) (* (/ v PI) (* 5 v))) (sqrt (- 1 (* (* v v) 3))))) (* t (- 1 (* v v))))) * * * * [misc]progress: [ 102 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (167 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (- 2 (* (* v v) (* 3 2)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v t) (/ (* (/ 1 (sqrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (* t (- 1 (* v v))))) * [enter]simplify: Simplifying (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 PI) (* (* 5 v) (/ v PI))) (sqrt (sqrt (- 2 (* (* v v) (* 3 2)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v t) (/ (* (/ 1 (sqrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- (/ 1 PI) (* (* 5 v) (/ v PI))) (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (* t (- 1 (* v v))))) * * * * [misc]progress: [ 103 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (v t) (/ (* 1 (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (* 2 (- 1 (* (* v 3) v)))))) (* t (- 1 (* v v))))) * [enter]simplify: Simplifying (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (* 2 (- 1 (* (* v 3) v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (167 enodes) * * [misc]simplify: iters left: 2 (383 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 PI) (* (/ 5 PI) (* v v))) (sqrt (- 2 (* (* v 3) (* 2 v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v t) (/ (* 1 (/ (- (/ 1 PI) (* (/ 5 PI) (* v v))) (sqrt (- 2 (* (* v 3) (* 2 v)))))) (* t (- 1 (* v v))))) * * * * [misc]progress: [ 104 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 (* (* v v) 5)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * * [misc]simplify: iters left: 2 (391 enodes) * [exit]simplify: Simplified to (/ (- 1 (* (* v v) 5)) (* (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))))) * [misc]simplify: Simplified (2 1 1) to (λ (v t) (/ (* (/ (- 1 (* (* v v) 5)) (* (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))))) (/ (/ 1 PI) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (* t (- 1 (* v v))))) * [enter]simplify: Simplifying (/ (/ 1 PI) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (180 enodes) * [exit]simplify: Simplified to (/ (/ 1 PI) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v t) (/ (* (/ (- 1 (* (* v v) 5)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (/ 1 PI) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))))) (* t (- 1 (* v v))))) * * * * [misc]progress: [ 105 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 (* (* v v) 5)) (sqrt 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (/ (- 1 (* (* v v) 5)) (sqrt 2)) * [misc]simplify: Simplified (2 1 1) to (λ (v t) (/ (* (/ (- 1 (* (* v v) 5)) (sqrt 2)) (/ (/ 1 PI) (sqrt (- 1 (* (* v 3) v))))) (* t (- 1 (* v v))))) * [enter]simplify: Simplifying (/ (/ 1 PI) (sqrt (- 1 (* (* v 3) v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to (/ (/ 1 PI) (sqrt (- 1 (* v (* v 3))))) * [misc]simplify: Simplified (2 1 2) to (λ (v t) (/ (* (/ (- 1 (* (* v v) 5)) (sqrt 2)) (/ (/ 1 PI) (sqrt (- 1 (* v (* v 3)))))) (* t (- 1 (* v v))))) * * * * [misc]progress: [ 106 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 (* (* v v) 5)) (sqrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (223 enodes) * * [misc]simplify: iters left: 1 (319 enodes) * [exit]simplify: Simplified to (/ (- 1 (* (* v v) 5)) (sqrt (sqrt (- 2 (* (* 3 2) (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v t) (/ (* (/ (- 1 (* (* v v) 5)) (sqrt (sqrt (- 2 (* (* 3 2) (* v v)))))) (/ (/ 1 PI) (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (* t (- 1 (* v v))))) * [enter]simplify: Simplifying (/ (/ 1 PI) (sqrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (180 enodes) * [exit]simplify: Simplified to (/ (/ 1 PI) (sqrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v t) (/ (* (/ (- 1 (* (* v v) 5)) (sqrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (/ 1 PI) (sqrt (sqrt (- 2 (* (* 2 v) (* v 3))))))) (* t (- 1 (* v v))))) * * * * [misc]progress: [ 107 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 (* (* v v) 5)) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (172 enodes) * [exit]simplify: Simplified to (- 1 (* (* v v) 5)) * [misc]simplify: Simplified (2 1 1) to (λ (v t) (/ (* (- 1 (* (* v v) 5)) (/ (/ 1 PI) (sqrt (* 2 (- 1 (* (* v 3) v)))))) (* t (- 1 (* v v))))) * [enter]simplify: Simplifying (/ (/ 1 PI) (sqrt (* 2 (- 1 (* (* v 3) v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (/ (/ 1 PI) (sqrt (- 2 (* (* v v) (* 2 3))))) * [misc]simplify: Simplified (2 1 2) to (λ (v t) (/ (* (- 1 (* (* v v) 5)) (/ (/ 1 PI) (sqrt (- 2 (* (* v v) (* 2 3)))))) (* t (- 1 (* v v))))) * * * * [misc]progress: [ 108 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 109 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 110 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 111 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (178 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) * [misc]simplify: Simplified (2 1 2) to (λ (v t) (/ (/ (/ (/ (- 1 (* (* v v) 5)) PI) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* t (- 1 (* v v))))) * * * * [misc]progress: [ 112 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 (* (* v 3) v))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* (* 3 v) v))) * [misc]simplify: Simplified (2 1 2) to (λ (v t) (/ (/ (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt 2)) (sqrt (- 1 (* (* 3 v) v)))) (* t (- 1 (* v v))))) * * * * [misc]progress: [ 113 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (178 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))) * [misc]simplify: Simplified (2 1 2) to (λ (v t) (/ (/ (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (sqrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* t (- 1 (* v v))))) * * * * [misc]progress: [ 114 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* 2 (- 1 (* (* v 3) v)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (169 enodes) * [exit]simplify: Simplified to (sqrt (- 2 (* (* 3 2) (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v t) (/ (/ (/ (/ (- 1 (* (* v v) 5)) PI) 1) (sqrt (- 2 (* (* 3 2) (* v v))))) (* t (- 1 (* v v))))) * * * * [misc]progress: [ 115 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v t) (/ (/ (* (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (/ (sqrt (* 2 (- 1 (* (* v 3) v)))) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (* t (- 1 (* v v))))) * * * * [misc]progress: [ 116 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 (* (* v v) 5)) PI)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v t) (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (/ (sqrt (* 2 (- 1 (* (* v 3) v)))) (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (* t (- 1 (* v v))))) * * * * [misc]progress: [ 117 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 118 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (* (* v v) 5)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (- 1 (* (* v v) 5)) * [misc]simplify: Simplified (2 1 1) to (λ (v t) (/ (/ (- 1 (* (* v v) 5)) (/ (sqrt (* 2 (- 1 (* (* v 3) v)))) (/ 1 PI))) (* t (- 1 (* v v))))) * * * * [misc]progress: [ 119 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (321 enodes) * * [misc]simplify: iters left: 1 (418 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v t) (/ (* (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v))))) (* t (- 1 (* v v))))) * * * * [misc]progress: [ 120 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (* (* v 3) v))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (* (* 3 v) v))) * [misc]simplify: Simplified (2 1 2) to (λ (v t) (/ (* (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (sqrt (+ 1 (* (* 3 v) v)))) (* t (- 1 (* v v))))) * * * * [misc]progress: [ 121 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (* (* v v) 5)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (- 1 (* (* v v) 5)) * [misc]simplify: Simplified (2 1 1) to (λ (v t) (/ (/ (- 1 (* (* v v) 5)) (* (sqrt (* 2 (- 1 (* (* v 3) v)))) PI)) (* t (- 1 (* v v))))) * * * * [misc]progress: [ 122 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (* 5 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* v v) 5) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v t) (/ (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (* 2 (- 1 (* (* v 3) v))))) (* t (- 1 (* v v))))) * * * * [misc]progress: [ 123 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (* 5 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* v v) 5) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v t) (/ (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (* 2 (- 1 (* (* v 3) v))))) (* t (- 1 (* v v))))) * * * * [misc]progress: [ 124 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (* 5 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* v v) 5) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v t) (/ (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (* 2 (- 1 (* (* v 3) v))))) (* t (- 1 (* v v))))) * * * * [misc]progress: [ 125 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (* 3 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* v v) 3) * [misc]simplify: Simplified (2 1 2 1 2 2) to (λ (v t) (/ (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (* 2 (- 1 (* (* v v) 3))))) (* t (- 1 (* v v))))) * * * * [misc]progress: [ 126 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (* 3 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* v v) 3) * [misc]simplify: Simplified (2 1 2 1 2 2) to (λ (v t) (/ (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (* 2 (- 1 (* (* v v) 3))))) (* t (- 1 (* v v))))) * * * * [misc]progress: [ 127 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (* 3 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* v v) 3) * [misc]simplify: Simplified (2 1 2 1 2 2) to (λ (v t) (/ (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (* 2 (- 1 (* (* v v) 3))))) (* t (- 1 (* v v))))) * * * * [misc]progress: [ 128 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 (* t (* (sqrt 2) PI))) (+ (* 3 (/ (pow v 2) (* t (* (pow (sqrt 2) 3) PI)))) (* 27/2 (/ (pow v 4) (* t (* (pow (sqrt 2) 5) PI)))))) (+ (* 4 (/ (pow v 4) (* t (* (sqrt 2) PI)))) (+ (* 4 (/ (pow v 2) (* t (* (sqrt 2) PI)))) (* 12 (/ (pow v 4) (* t (* (pow (sqrt 2) 3) PI))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (300 enodes) * [exit]simplify: Simplified to (- (+ (+ (/ (* (/ 3 t) (* v v)) (* (sqrt 2) (* PI 2))) (/ 1 (* (sqrt 2) (* t PI)))) (* (/ (pow v 4) (pow (sqrt 2) 5)) (/ 27/2 (* t PI)))) (+ (* (/ (/ 4 PI) (sqrt 2)) (+ (/ (pow v 4) t) (/ (* v v) t))) (/ (* (/ 12 t) (pow v 4)) (* (sqrt 2) (* PI 2))))) * [misc]simplify: Simplified (2) to (λ (v t) (- (+ (+ (/ (* (/ 3 t) (* v v)) (* (sqrt 2) (* PI 2))) (/ 1 (* (sqrt 2) (* t PI)))) (* (/ (pow v 4) (pow (sqrt 2) 5)) (/ 27/2 (* t PI)))) (+ (* (/ (/ 4 PI) (sqrt 2)) (+ (/ (pow v 4) t) (/ (* v v) t))) (/ (* (/ 12 t) (pow v 4)) (* (sqrt 2) (* PI 2)))))) * * * * [misc]progress: [ 129 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4 (/ 1 (* t (* (pow v 3) (* (sqrt -6) PI))))) (* 5 (/ 1 (* t (* v (* (sqrt -6) PI)))))) (* 5 (/ 1 (* t (* (pow v 3) (* (pow (sqrt -6) 3) PI)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * [exit]simplify: Simplified to (- (* (/ (/ 1 PI) (sqrt -6)) (+ (/ 5 (* t v)) (/ (/ 4 t) (pow v 3)))) (/ (/ 5 t) (* (* (* v v) (* v -6)) (* (sqrt -6) PI)))) * [misc]simplify: Simplified (2) to (λ (v t) (- (* (/ (/ 1 PI) (sqrt -6)) (+ (/ 5 (* t v)) (/ (/ 4 t) (pow v 3)))) (/ (/ 5 t) (* (* (* v v) (* v -6)) (* (sqrt -6) PI))))) * * * * [misc]progress: [ 130 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 5 (/ 1 (* t (* (pow v 3) (* (pow (sqrt -6) 3) PI))))) (+ (* 4 (/ 1 (* t (* (pow v 3) (* (sqrt -6) PI))))) (* 5 (/ 1 (* t (* v (* (sqrt -6) PI))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * [exit]simplify: Simplified to (- (/ (/ 5 t) (* (* PI (* v v)) (* (* v -6) (sqrt -6)))) (* (/ (/ 1 PI) (sqrt -6)) (+ (/ (/ 4 t) (pow v 3)) (/ 5 (* t v))))) * [misc]simplify: Simplified (2) to (λ (v t) (- (/ (/ 5 t) (* (* PI (* v v)) (* (* v -6) (sqrt -6)))) (* (/ (/ 1 PI) (sqrt -6)) (+ (/ (/ 4 t) (pow v 3)) (/ 5 (* t v)))))) * * * * [misc]progress: [ 131 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 27/2 (/ (pow v 4) (* (pow (sqrt 2) 5) PI))) (+ (/ 1 (* (sqrt 2) PI)) (* 3 (/ (pow v 2) (* (pow (sqrt 2) 3) PI))))) (+ (* 5 (/ (pow v 2) (* (sqrt 2) PI))) (* 15 (/ (pow v 4) (* (pow (sqrt 2) 3) PI))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * [exit]simplify: Simplified to (+ (- (* (/ (* v v) PI) (- (/ (/ 3 2) (sqrt 2)) (/ 5 (sqrt 2)))) (/ (* (pow v 4) 15) (* (* 2 PI) (sqrt 2)))) (+ (/ (/ (pow v 4) (/ PI 27/2)) (pow (sqrt 2) 5)) (/ 1 (* PI (sqrt 2))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (/ (+ (- (* (/ (* v v) PI) (- (/ (/ 3 2) (sqrt 2)) (/ 5 (sqrt 2)))) (/ (* (pow v 4) 15) (* (* 2 PI) (sqrt 2)))) (+ (/ (/ (pow v 4) (/ PI 27/2)) (pow (sqrt 2) 5)) (/ 1 (* PI (sqrt 2))))) (* t (- 1 (* v v))))) * * * * [misc]progress: [ 132 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 (* v (* (sqrt -6) PI))) (* 5 (/ 1 (* v (* (pow (sqrt -6) 3) PI))))) (+ (* 15/2 (/ 1 (* (pow v 3) (* (pow (sqrt -6) 5) PI)))) (+ (* 5 (/ v (* (sqrt -6) PI))) (/ 1 (* (pow v 3) (* (pow (sqrt -6) 3) PI)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (223 enodes) * [exit]simplify: Simplified to (- (+ (+ (/ (/ 5 v) (* (* PI -6) (sqrt -6))) (/ 1 (* (sqrt -6) (* v PI)))) (/ (- 15/2) (* (pow (sqrt -6) 5) (* (* v v) (* v PI))))) (+ (/ (* (/ 5 PI) v) (sqrt -6)) (/ (/ (/ 1 v) (* v v)) (* (* PI -6) (sqrt -6))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (/ (- (+ (+ (/ (/ 5 v) (* (* PI -6) (sqrt -6))) (/ 1 (* (sqrt -6) (* v PI)))) (/ (- 15/2) (* (pow (sqrt -6) 5) (* (* v v) (* v PI))))) (+ (/ (* (/ 5 PI) v) (sqrt -6)) (/ (/ (/ 1 v) (* v v)) (* (* PI -6) (sqrt -6))))) (* t (- 1 (* v v))))) * * * * [misc]progress: [ 133 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 15/2 (/ 1 (* (pow v 3) (* (pow (sqrt -6) 5) PI)))) (+ (* 5 (/ v (* (sqrt -6) PI))) (/ 1 (* (pow v 3) (* (pow (sqrt -6) 3) PI))))) (+ (/ 1 (* v (* (sqrt -6) PI))) (* 5 (/ 1 (* v (* (pow (sqrt -6) 3) PI)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * [exit]simplify: Simplified to (- (+ (/ (/ (/ 1 v) (* v v)) (* (* PI -6) (sqrt -6))) (- (* (/ v (sqrt -6)) (/ 5 PI)) (/ (/ 5 v) (* (* PI -6) (sqrt -6))))) (- (/ (/ 1 v) (* PI (sqrt -6))) (/ (/ (/ 15/2 v) (* v v)) (* PI (pow (sqrt -6) 5))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (/ (- (+ (/ (/ (/ 1 v) (* v v)) (* (* PI -6) (sqrt -6))) (- (* (/ v (sqrt -6)) (/ 5 PI)) (/ (/ 5 v) (* (* PI -6) (sqrt -6))))) (- (/ (/ 1 v) (* PI (sqrt -6))) (/ (/ (/ 15/2 v) (* v v)) (* PI (pow (sqrt -6) 5))))) (* t (- 1 (* v v))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2 1 1 2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- (* 1 1) (* (* v v) (* v v))))) in (v t) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- (* 1 1) (* (* v v) (* v v))))) in t * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* v 3) v)))) in t * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* v 3) v))) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* v 3) v)) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* v 3) v) in t * [misc]taylor: Taking taylor expansion of (* v 3) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]taylor: Taking taylor expansion of 3 in t * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (* v 3) into (* 3 v) * [misc]backup-simplify: Simplify (* (* 3 v) v) into (* 3 (pow v 2)) * [misc]backup-simplify: Simplify (- (* 3 (pow v 2))) into (- (* 3 (pow v 2))) * [misc]backup-simplify: Simplify (+ 1 (- (* 3 (pow v 2)))) into (- 1 (* 3 (pow v 2))) * [misc]backup-simplify: Simplify (* 2 (- 1 (* 3 (pow v 2)))) into (* 2 (- 1 (* 3 (pow v 2)))) * [misc]backup-simplify: Simplify (sqrt (* 2 (- 1 (* 3 (pow v 2))))) into (* (sqrt (- 1 (* 3 (pow v 2)))) (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* v 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 v) 0) (* 0 v)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- 1 (* 3 (pow v 2))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 2 (- 1 (* 3 (pow v 2))))))) into 0 * [misc]taylor: Taking taylor expansion of (* t (- (* 1 1) (* (* v v) (* v v)))) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (* 1 1) (* (* v v) (* v v))) in t * [misc]taylor: Taking taylor expansion of (* 1 1) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* v v) (* v v)) in t * [misc]taylor: Taking taylor expansion of (* v v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]taylor: Taking taylor expansion of (* v v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]taylor: Taking taylor expansion of (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- (* 1 1) (* (* v v) (* v v))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* v 3) v)))) in v * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* v 3) v))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* v 3) v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* v 3) v) in v * [misc]taylor: Taking taylor expansion of (* v 3) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 3) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 3)) into 3 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 3 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (* t (- (* 1 1) (* (* v v) (* v v)))) in v * [misc]taylor: Taking taylor expansion of t in v * [misc]backup-simplify: Simplify t into t * [misc]taylor: Taking taylor expansion of (- (* 1 1) (* (* v v) (* v v))) in v * [misc]taylor: Taking taylor expansion of (* 1 1) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* v v) (* v v)) in v * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- (* 1 1) (* (* v v) (* v v))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* v 3) v)))) in v * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* v 3) v))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* v 3) v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* v 3) v) in v * [misc]taylor: Taking taylor expansion of (* v 3) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 3) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 3)) into 3 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 3 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (* t (- (* 1 1) (* (* v v) (* v v)))) in v * [misc]taylor: Taking taylor expansion of t in v * [misc]backup-simplify: Simplify t into t * [misc]taylor: Taking taylor expansion of (- (* 1 1) (* (* v v) (* v v))) in v * [misc]taylor: Taking taylor expansion of (* 1 1) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* v v) (* v v)) in v * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* t 1) into t * [misc]backup-simplify: Simplify (* (sqrt 2) t) into (* t (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* t (sqrt 2)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* 0 (sqrt 2)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 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 (+ (* t 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 t)) into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sqrt 2))) into (sqrt 2) * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (+ (* 0 0) (* 1 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* t 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 1) (* 0 0))) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (+ (* 2 -3) (+ (* 0 0) (* 0 1))) into -6 * [misc]backup-simplify: Simplify (/ (- -6 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ -3 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* (/ -3 (sqrt 2)) t))) into (- (* 3 (/ t (sqrt 2)))) * [misc]taylor: Taking taylor expansion of (- (* 3 (/ t (sqrt 2)))) in t * [misc]taylor: Taking taylor expansion of (* 3 (/ t (sqrt 2))) in t * [misc]taylor: Taking taylor expansion of 3 in t * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ t (sqrt 2)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 1) (+ (* 1 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* t 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 -3) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -3 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* (/ -3 (sqrt 2)) 0) (* 0 t)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 3 (/ 1 (sqrt 2))) into (/ 3 (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 3 (sqrt 2))) into (- (* 3 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (- (* 3 (/ 1 (sqrt 2)))) into (- (* 3 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 1) (+ (* 0 0) (* 0 0))))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* t -1) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into (- t) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 -3) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ -3 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (/ -9/2 (pow (sqrt 2) 3)) * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (- t)) (+ (* 0 0) (+ (* (/ -3 (sqrt 2)) 0) (+ (* 0 0) (* (/ -9/2 (pow (sqrt 2) 3)) t))))) into (- (+ (* t (sqrt 2)) (* 9/2 (/ t (pow (sqrt 2) 3))))) * [misc]taylor: Taking taylor expansion of (- (+ (* t (sqrt 2)) (* 9/2 (/ t (pow (sqrt 2) 3))))) in t * [misc]taylor: Taking taylor expansion of (+ (* t (sqrt 2)) (* 9/2 (/ t (pow (sqrt 2) 3)))) in t * [misc]taylor: Taking taylor expansion of (* t (sqrt 2)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (* 9/2 (/ t (pow (sqrt 2) 3))) in t * [misc]taylor: Taking taylor expansion of 9/2 in t * [misc]backup-simplify: Simplify 9/2 into 9/2 * [misc]taylor: Taking taylor expansion of (/ t (pow (sqrt 2) 3)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (sqrt 2) 3) in t * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqrt 2)))) in t * [misc]taylor: Taking taylor expansion of (* 3 (log (sqrt 2))) in t * [misc]taylor: Taking taylor expansion of 3 in t * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqrt 2)) in t * [misc]taylor: Taking taylor expansion of (sqrt 2) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (log (sqrt 2)) into (log (sqrt 2)) * [misc]backup-simplify: Simplify (* 3 (log (sqrt 2))) into (* 3 (log (sqrt 2))) * [misc]backup-simplify: Simplify (exp (* 3 (log (sqrt 2)))) into (pow (sqrt 2) 3) * [misc]backup-simplify: Simplify (/ 1 (pow (sqrt 2) 3)) into (/ 1 (pow (sqrt 2) 3)) * [misc]backup-simplify: Simplify (* 0 (sqrt 2)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (/ 1 (sqrt 2)))) into 0 * [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 (+ (* (- (* 3 (/ 1 (sqrt 2)))) (* t (pow v 2))) (* (sqrt 2) (* t 1))) into (- (* t (sqrt 2)) (* 3 (/ (* t (pow v 2)) (sqrt 2)))) * [misc]approximate: Taking taylor expansion of (* (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))) (* (/ 1 t) (- (* 1 1) (* (* (/ 1 v) (/ 1 v)) (* (/ 1 v) (/ 1 v)))))) in (v t) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))) (* (/ 1 t) (- (* 1 1) (* (* (/ 1 v) (/ 1 v)) (* (/ 1 v) (/ 1 v)))))) in t * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))) in t * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 v) 3) (/ 1 v))) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) 3) (/ 1 v)) in t * [misc]taylor: Taking taylor expansion of (* (/ 1 v) 3) in t * [misc]taylor: Taking taylor expansion of (/ 1 v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (/ 1 v) into (/ 1 v) * [misc]taylor: Taking taylor expansion of 3 in t * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (/ 1 v) into (/ 1 v) * [misc]backup-simplify: Simplify (* (/ 1 v) 3) into (/ 3 v) * [misc]backup-simplify: Simplify (* (/ 3 v) (/ 1 v)) into (/ 3 (pow v 2)) * [misc]backup-simplify: Simplify (- (/ 3 (pow v 2))) into (- (* 3 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (+ 1 (- (* 3 (/ 1 (pow v 2))))) into (- 1 (* 3 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (* 2 (- 1 (* 3 (/ 1 (pow v 2))))) into (* 2 (- 1 (* 3 (/ 1 (pow v 2))))) * [misc]backup-simplify: Simplify (sqrt (* 2 (- 1 (* 3 (/ 1 (pow v 2)))))) into (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 v) (/ 0 v)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 v) (/ 0 v)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 v) 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 3 v) 0) (* 0 (/ 1 v))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- 1 (* 3 (/ 1 (pow v 2)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 2 (- 1 (* 3 (/ 1 (pow v 2)))))))) into 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 t) (- (* 1 1) (* (* (/ 1 v) (/ 1 v)) (* (/ 1 v) (/ 1 v))))) in t * [misc]taylor: Taking taylor expansion of (/ 1 t) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (* 1 1) (* (* (/ 1 v) (/ 1 v)) (* (/ 1 v) (/ 1 v)))) in t * [misc]taylor: Taking taylor expansion of (* 1 1) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) (/ 1 v)) (* (/ 1 v) (/ 1 v))) in t * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in t * [misc]taylor: Taking taylor expansion of (/ 1 v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (/ 1 v) into (/ 1 v) * [misc]taylor: Taking taylor expansion of (/ 1 v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (/ 1 v) into (/ 1 v) * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in t * [misc]taylor: Taking taylor expansion of (/ 1 v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (/ 1 v) into (/ 1 v) * [misc]taylor: Taking taylor expansion of (/ 1 v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (/ 1 v) into (/ 1 v) * [misc]taylor: Taking taylor expansion of (* (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))) (* (/ 1 t) (- (* 1 1) (* (* (/ 1 v) (/ 1 v)) (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 v) 3) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) 3) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) 3) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 3) into 3 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* 2 -3) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -3)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 t) (- (* 1 1) (* (* (/ 1 v) (/ 1 v)) (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (/ 1 t) in v * [misc]taylor: Taking taylor expansion of t in v * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (/ 1 t) into (/ 1 t) * [misc]taylor: Taking taylor expansion of (- (* 1 1) (* (* (/ 1 v) (/ 1 v)) (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (* 1 1) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) (/ 1 v)) (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))) (* (/ 1 t) (- (* 1 1) (* (* (/ 1 v) (/ 1 v)) (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 v) 3) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) 3) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) 3) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 3) into 3 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* 2 -3) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -3)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 t) (- (* 1 1) (* (* (/ 1 v) (/ 1 v)) (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (/ 1 t) in v * [misc]taylor: Taking taylor expansion of t in v * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (/ 1 t) into (/ 1 t) * [misc]taylor: Taking taylor expansion of (- (* 1 1) (* (* (/ 1 v) (/ 1 v)) (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (* 1 1) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) (/ 1 v)) (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ 1 t) -1) into (/ -1 t) * [misc]backup-simplify: Simplify (* (sqrt -6) (/ -1 t)) into (* -1 (/ (sqrt -6) t)) * [misc]taylor: Taking taylor expansion of (* -1 (/ (sqrt -6) t)) in t * [misc]taylor: Taking taylor expansion of -1 in t * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (sqrt -6) t) in t * [misc]taylor: Taking taylor expansion of (sqrt -6) in t * [misc]taylor: Taking taylor expansion of -6 in t * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sqrt -6) 1) into (sqrt -6) * [misc]backup-simplify: Simplify (* -1 (sqrt -6)) into (* -1 (sqrt -6)) * [misc]backup-simplify: Simplify (* -1 (sqrt -6)) into (* -1 (sqrt -6)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 t) (/ 0 t)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 t) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt -6) 0) (* 0 (/ -1 t))) into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -6) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 t) (/ 0 t)) (* 0 (/ 0 t)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 t) 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 2 1) (+ (* 0 0) (* 0 -3))) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (+ (* (sqrt -6) 0) (+ (* 0 0) (* (/ 1 (sqrt -6)) (/ -1 t)))) into (- (/ 1 (* t (sqrt -6)))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (* t (sqrt -6)))) in t * [misc]taylor: Taking taylor expansion of (/ 1 (* t (sqrt -6))) in t * [misc]taylor: Taking taylor expansion of (* t (sqrt -6)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt -6) in t * [misc]taylor: Taking taylor expansion of -6 in t * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (* 0 (sqrt -6)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sqrt -6))) into (sqrt -6) * [misc]backup-simplify: Simplify (/ 1 (sqrt -6)) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (- (/ 1 (sqrt -6))) into (- (/ 1 (sqrt -6))) * [misc]backup-simplify: Simplify (- (/ 1 (sqrt -6))) into (- (/ 1 (sqrt -6))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -6) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (sqrt -6)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 t) (/ 0 t)) (* 0 (/ 0 t)) (* 0 (/ 0 t)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 t) 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (+ (* 0 0) (* 0 -3)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt -6) 0) (+ (* 0 0) (+ (* (/ 1 (sqrt -6)) 0) (* 0 (/ -1 t))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt -6)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt -6)) (/ 0 (sqrt -6))))) into 0 * [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 (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -6) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 t) (/ 0 t)) (* 0 (/ 0 t)) (* 0 (/ 0 t)) (* 0 (/ 0 t)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 t) 1) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into (/ 1 t) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 -3))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (+ (* (sqrt -6) (/ 1 t)) (+ (* 0 0) (+ (* (/ 1 (sqrt -6)) 0) (+ (* 0 0) (* (/ -1/2 (pow (sqrt -6) 3)) (/ -1 t)))))) into (+ (/ (sqrt -6) t) (* 1/2 (/ 1 (* t (pow (sqrt -6) 3))))) * [misc]taylor: Taking taylor expansion of (+ (/ (sqrt -6) t) (* 1/2 (/ 1 (* t (pow (sqrt -6) 3))))) in t * [misc]taylor: Taking taylor expansion of (/ (sqrt -6) t) in t * [misc]taylor: Taking taylor expansion of (sqrt -6) in t * [misc]taylor: Taking taylor expansion of -6 in t * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sqrt -6) 1) into (sqrt -6) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* t (pow (sqrt -6) 3)))) in t * [misc]taylor: Taking taylor expansion of 1/2 in t * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* t (pow (sqrt -6) 3))) in t * [misc]taylor: Taking taylor expansion of (* t (pow (sqrt -6) 3)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (sqrt -6) 3) in t * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqrt -6)))) in t * [misc]taylor: Taking taylor expansion of (* 3 (log (sqrt -6))) in t * [misc]taylor: Taking taylor expansion of 3 in t * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqrt -6)) in t * [misc]taylor: Taking taylor expansion of (sqrt -6) in t * [misc]taylor: Taking taylor expansion of -6 in t * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (log (sqrt -6)) into (log (sqrt -6)) * [misc]backup-simplify: Simplify (* 3 (log (sqrt -6))) into (* 3 (log (sqrt -6))) * [misc]backup-simplify: Simplify (exp (* 3 (log (sqrt -6)))) into (pow (sqrt -6) 3) * [misc]backup-simplify: Simplify (* 0 (pow (sqrt -6) 3)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt -6) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (sqrt -6)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (sqrt -6)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (pow (sqrt -6) 3))) into (pow (sqrt -6) 3) * [misc]backup-simplify: Simplify (/ 1 (pow (sqrt -6) 3)) into (/ 1 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (pow (sqrt -6) 3))) into (/ 1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (+ (sqrt -6) (/ 1/2 (pow (sqrt -6) 3))) into (+ (sqrt -6) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) * [misc]backup-simplify: Simplify (+ (sqrt -6) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) into (+ (sqrt -6) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) * [misc]backup-simplify: Simplify (+ (* (+ (sqrt -6) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (* (/ 1 (/ 1 t)) (/ 1 (/ 1 v)))) (+ (* (- (/ 1 (sqrt -6))) (* (/ 1 (/ 1 t)) (pow (/ 1 v) -3))) (* (* -1 (sqrt -6)) (* (/ 1 (/ 1 t)) (pow (/ 1 v) -5))))) into (- (+ (* 1/2 (/ (* t v) (pow (sqrt -6) 3))) (* t (* v (sqrt -6)))) (+ (/ (* t (pow v 3)) (sqrt -6)) (* t (* (pow v 5) (sqrt -6))))) * [misc]approximate: Taking taylor expansion of (* (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))) (* (/ 1 (- t)) (- (* 1 1) (* (* (/ 1 (- v)) (/ 1 (- v))) (* (/ 1 (- v)) (/ 1 (- v))))))) in (v t) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))) (* (/ 1 (- t)) (- (* 1 1) (* (* (/ 1 (- v)) (/ 1 (- v))) (* (/ 1 (- v)) (/ 1 (- v))))))) in t * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))) in t * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) 3) (/ 1 (- v))) in t * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) 3) in t * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in t * [misc]taylor: Taking taylor expansion of (- v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (/ 1 (- v)) into (/ -1 v) * [misc]taylor: Taking taylor expansion of 3 in t * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in t * [misc]taylor: Taking taylor expansion of (- v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (/ 1 (- v)) into (/ -1 v) * [misc]backup-simplify: Simplify (* (/ -1 v) 3) into (/ -3 v) * [misc]backup-simplify: Simplify (* (/ -3 v) (/ -1 v)) into (/ 3 (pow v 2)) * [misc]backup-simplify: Simplify (- (/ 3 (pow v 2))) into (- (* 3 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (+ 1 (- (* 3 (/ 1 (pow v 2))))) into (- 1 (* 3 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (* 2 (- 1 (* 3 (/ 1 (pow v 2))))) into (* 2 (- 1 (* 3 (/ 1 (pow v 2))))) * [misc]backup-simplify: Simplify (sqrt (* 2 (- 1 (* 3 (/ 1 (pow v 2)))))) into (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 v) (/ 0 (- v))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 v) (/ 0 (- v))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 v) 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -3 v) 0) (* 0 (/ -1 v))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- 1 (* 3 (/ 1 (pow v 2)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 2 (- 1 (* 3 (/ 1 (pow v 2)))))))) into 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- t)) (- (* 1 1) (* (* (/ 1 (- v)) (/ 1 (- v))) (* (/ 1 (- v)) (/ 1 (- v)))))) in t * [misc]taylor: Taking taylor expansion of (/ 1 (- t)) in t * [misc]taylor: Taking taylor expansion of (- t) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (* 1 1) (* (* (/ 1 (- v)) (/ 1 (- v))) (* (/ 1 (- v)) (/ 1 (- v))))) in t * [misc]taylor: Taking taylor expansion of (* 1 1) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) (/ 1 (- v))) (* (/ 1 (- v)) (/ 1 (- v)))) in t * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in t * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in t * [misc]taylor: Taking taylor expansion of (- v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (/ 1 (- v)) into (/ -1 v) * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in t * [misc]taylor: Taking taylor expansion of (- v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (/ 1 (- v)) into (/ -1 v) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in t * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in t * [misc]taylor: Taking taylor expansion of (- v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (/ 1 (- v)) into (/ -1 v) * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in t * [misc]taylor: Taking taylor expansion of (- v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (/ 1 (- v)) into (/ -1 v) * [misc]taylor: Taking taylor expansion of (* (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))) (* (/ 1 (- t)) (- (* 1 1) (* (* (/ 1 (- v)) (/ 1 (- v))) (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) 3) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) 3) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 3) into -3 * [misc]backup-simplify: Simplify (* -3 -1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* 2 -3) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -3)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- t)) (- (* 1 1) (* (* (/ 1 (- v)) (/ 1 (- v))) (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- t)) in v * [misc]taylor: Taking taylor expansion of (- t) in v * [misc]taylor: Taking taylor expansion of t in v * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (/ 1 (- t)) into (/ -1 t) * [misc]taylor: Taking taylor expansion of (- (* 1 1) (* (* (/ 1 (- v)) (/ 1 (- v))) (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (* 1 1) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) (/ 1 (- v))) (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))) (* (/ 1 (- t)) (- (* 1 1) (* (* (/ 1 (- v)) (/ 1 (- v))) (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) 3) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) 3) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 3) into -3 * [misc]backup-simplify: Simplify (* -3 -1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* 2 -3) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -3)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- t)) (- (* 1 1) (* (* (/ 1 (- v)) (/ 1 (- v))) (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- t)) in v * [misc]taylor: Taking taylor expansion of (- t) in v * [misc]taylor: Taking taylor expansion of t in v * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (/ 1 (- t)) into (/ -1 t) * [misc]taylor: Taking taylor expansion of (- (* 1 1) (* (* (/ 1 (- v)) (/ 1 (- v))) (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (* 1 1) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) (/ 1 (- v))) (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 t) -1) into (/ 1 t) * [misc]backup-simplify: Simplify (* (sqrt -6) (/ 1 t)) into (/ (sqrt -6) t) * [misc]taylor: Taking taylor expansion of (/ (sqrt -6) t) in t * [misc]taylor: Taking taylor expansion of (sqrt -6) in t * [misc]taylor: Taking taylor expansion of -6 in t * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sqrt -6) 1) into (sqrt -6) * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 t) (/ 0 (- t))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 t) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt -6) 0) (* 0 (/ 1 t))) into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -6) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 t) (/ 0 (- t))) (* 0 (/ 0 (- t))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 t) 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 2 1) (+ (* 0 0) (* 0 -3))) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (+ (* (sqrt -6) 0) (+ (* 0 0) (* (/ 1 (sqrt -6)) (/ 1 t)))) into (/ 1 (* t (sqrt -6))) * [misc]taylor: Taking taylor expansion of (/ 1 (* t (sqrt -6))) in t * [misc]taylor: Taking taylor expansion of (* t (sqrt -6)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt -6) in t * [misc]taylor: Taking taylor expansion of -6 in t * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (* 0 (sqrt -6)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sqrt -6))) into (sqrt -6) * [misc]backup-simplify: Simplify (/ 1 (sqrt -6)) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (/ 1 (sqrt -6)) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -6) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 t) (/ 0 (- t))) (* 0 (/ 0 (- t))) (* 0 (/ 0 (- t))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 t) 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (+ (* 0 0) (* 0 -3)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt -6) 0) (+ (* 0 0) (+ (* (/ 1 (sqrt -6)) 0) (* 0 (/ 1 t))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt -6)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt -6)) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -6) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 t) (/ 0 (- t))) (* 0 (/ 0 (- t))) (* 0 (/ 0 (- t))) (* 0 (/ 0 (- t))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 t) 1) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into (- (/ 1 t)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 -3))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (+ (* (sqrt -6) (- (/ 1 t))) (+ (* 0 0) (+ (* (/ 1 (sqrt -6)) 0) (+ (* 0 0) (* (/ -1/2 (pow (sqrt -6) 3)) (/ 1 t)))))) into (- (+ (/ (sqrt -6) t) (* 1/2 (/ 1 (* t (pow (sqrt -6) 3)))))) * [misc]taylor: Taking taylor expansion of (- (+ (/ (sqrt -6) t) (* 1/2 (/ 1 (* t (pow (sqrt -6) 3)))))) in t * [misc]taylor: Taking taylor expansion of (+ (/ (sqrt -6) t) (* 1/2 (/ 1 (* t (pow (sqrt -6) 3))))) in t * [misc]taylor: Taking taylor expansion of (/ (sqrt -6) t) in t * [misc]taylor: Taking taylor expansion of (sqrt -6) in t * [misc]taylor: Taking taylor expansion of -6 in t * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sqrt -6) 1) into (sqrt -6) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* t (pow (sqrt -6) 3)))) in t * [misc]taylor: Taking taylor expansion of 1/2 in t * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* t (pow (sqrt -6) 3))) in t * [misc]taylor: Taking taylor expansion of (* t (pow (sqrt -6) 3)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (sqrt -6) 3) in t * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqrt -6)))) in t * [misc]taylor: Taking taylor expansion of (* 3 (log (sqrt -6))) in t * [misc]taylor: Taking taylor expansion of 3 in t * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqrt -6)) in t * [misc]taylor: Taking taylor expansion of (sqrt -6) in t * [misc]taylor: Taking taylor expansion of -6 in t * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (log (sqrt -6)) into (log (sqrt -6)) * [misc]backup-simplify: Simplify (* 3 (log (sqrt -6))) into (* 3 (log (sqrt -6))) * [misc]backup-simplify: Simplify (exp (* 3 (log (sqrt -6)))) into (pow (sqrt -6) 3) * [misc]backup-simplify: Simplify (* 0 (pow (sqrt -6) 3)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt -6) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (sqrt -6)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (sqrt -6)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (pow (sqrt -6) 3))) into (pow (sqrt -6) 3) * [misc]backup-simplify: Simplify (/ 1 (pow (sqrt -6) 3)) into (/ 1 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (pow (sqrt -6) 3))) into (/ 1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (+ (sqrt -6) (/ 1/2 (pow (sqrt -6) 3))) into (+ (sqrt -6) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) * [misc]backup-simplify: Simplify (- (+ (sqrt -6) (* 1/2 (/ 1 (pow (sqrt -6) 3))))) into (- (+ (sqrt -6) (* 1/2 (/ 1 (pow (sqrt -6) 3))))) * [misc]backup-simplify: Simplify (- (+ (sqrt -6) (* 1/2 (/ 1 (pow (sqrt -6) 3))))) into (- (+ (sqrt -6) (* 1/2 (/ 1 (pow (sqrt -6) 3))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (sqrt -6) (* 1/2 (/ 1 (pow (sqrt -6) 3))))) (* (/ 1 (/ 1 (- t))) (/ 1 (/ 1 (- v))))) (+ (* (/ 1 (sqrt -6)) (* (/ 1 (/ 1 (- t))) (pow (/ 1 (- v)) -3))) (* (sqrt -6) (* (/ 1 (/ 1 (- t))) (pow (/ 1 (- v)) -5))))) into (- (+ (/ (* t (pow v 3)) (sqrt -6)) (* t (* (pow v 5) (sqrt -6)))) (+ (* 1/2 (/ (* t v) (pow (sqrt -6) 3))) (* t (* v (sqrt -6))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (/ (- 1 (* (* v v) 5)) PI) (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- (* 1 1) (* (* v v) (* v v)))))) in (v t) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (- 1 (* (* v v) 5)) PI) (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- (* 1 1) (* (* v v) (* v v)))))) in t * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (* v v) 5)) PI) in t * [misc]taylor: Taking taylor expansion of (- 1 (* (* v v) 5)) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* v v) 5) in t * [misc]taylor: Taking taylor expansion of (* v v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]taylor: Taking taylor expansion of 5 in t * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* v v) into (pow v 2) * [misc]backup-simplify: Simplify (* (pow v 2) 5) into (* 5 (pow v 2)) * [misc]backup-simplify: Simplify (- (* 5 (pow v 2))) into (- (* 5 (pow v 2))) * [misc]backup-simplify: Simplify (+ 1 (- (* 5 (pow v 2)))) into (- 1 (* 5 (pow v 2))) * [misc]backup-simplify: Simplify (/ (- 1 (* 5 (pow v 2))) PI) into (/ (- 1 (* 5 (pow v 2))) PI) * [misc]taylor: Taking taylor expansion of (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- (* 1 1) (* (* v v) (* v v))))) in t * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* v 3) v)))) in t * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* v 3) v))) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* v 3) v)) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* v 3) v) in t * [misc]taylor: Taking taylor expansion of (* v 3) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]taylor: Taking taylor expansion of 3 in t * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (* v 3) into (* 3 v) * [misc]backup-simplify: Simplify (* (* 3 v) v) into (* 3 (pow v 2)) * [misc]backup-simplify: Simplify (- (* 3 (pow v 2))) into (- (* 3 (pow v 2))) * [misc]backup-simplify: Simplify (+ 1 (- (* 3 (pow v 2)))) into (- 1 (* 3 (pow v 2))) * [misc]backup-simplify: Simplify (* 2 (- 1 (* 3 (pow v 2)))) into (* 2 (- 1 (* 3 (pow v 2)))) * [misc]backup-simplify: Simplify (sqrt (* 2 (- 1 (* 3 (pow v 2))))) into (* (sqrt (- 1 (* 3 (pow v 2)))) (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* v 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 v) 0) (* 0 v)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- 1 (* 3 (pow v 2))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 2 (- 1 (* 3 (pow v 2))))))) into 0 * [misc]taylor: Taking taylor expansion of (* t (- (* 1 1) (* (* v v) (* v v)))) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (* 1 1) (* (* v v) (* v v))) in t * [misc]taylor: Taking taylor expansion of (* 1 1) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* v v) (* v v)) in t * [misc]taylor: Taking taylor expansion of (* v v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]taylor: Taking taylor expansion of (* v v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* v v) into (pow v 2) * [misc]backup-simplify: Simplify (* v v) into (pow v 2) * [misc]backup-simplify: Simplify (* (pow v 2) (pow v 2)) into (pow v 4) * [misc]backup-simplify: Simplify (- (pow v 4)) into (- (pow v 4)) * [misc]backup-simplify: Simplify (+ 1 (- (pow v 4))) into (- 1 (pow v 4)) * [misc]backup-simplify: Simplify (* 0 (- 1 (pow v 4))) into 0 * [misc]backup-simplify: Simplify (* (* (sqrt (- 1 (* 3 (pow v 2)))) (sqrt 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* v 0) (* 0 v)) into 0 * [misc]backup-simplify: Simplify (+ (* v 0) (* 0 v)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow v 2) 0) (* 0 (pow v 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (- 1 (pow v 4)))) into (- 1 (pow v 4)) * [misc]backup-simplify: Simplify (+ (* (* (sqrt (- 1 (* 3 (pow v 2)))) (sqrt 2)) (- 1 (pow v 4))) (* 0 0)) into (- (* (sqrt (- 1 (* 3 (pow v 2)))) (sqrt 2)) (* (sqrt (- 1 (* 3 (pow v 2)))) (* (sqrt 2) (pow v 4)))) * [misc]backup-simplify: Simplify (/ (/ (- 1 (* 5 (pow v 2))) PI) (- (* (sqrt (- 1 (* 3 (pow v 2)))) (sqrt 2)) (* (sqrt (- 1 (* 3 (pow v 2)))) (* (sqrt 2) (pow v 4))))) into (/ (- 1 (* 5 (pow v 2))) (* (- (* (sqrt (- 1 (* 3 (pow v 2)))) (sqrt 2)) (* (sqrt (- 1 (* 3 (pow v 2)))) (* (sqrt 2) (pow v 4)))) PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (- 1 (* (* v v) 5)) PI) (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- (* 1 1) (* (* v v) (* v v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (* v v) 5)) PI) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (* v v) 5)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* v v) 5) in v * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 5) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- (* 1 1) (* (* v v) (* v v))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* v 3) v)))) in v * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* v 3) v))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* v 3) v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* v 3) v) in v * [misc]taylor: Taking taylor expansion of (* v 3) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 3) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 3)) into 3 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 3 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (* t (- (* 1 1) (* (* v v) (* v v)))) in v * [misc]taylor: Taking taylor expansion of t in v * [misc]backup-simplify: Simplify t into t * [misc]taylor: Taking taylor expansion of (- (* 1 1) (* (* v v) (* v v))) in v * [misc]taylor: Taking taylor expansion of (* 1 1) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* v v) (* v v)) in v * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* t 1) into t * [misc]backup-simplify: Simplify (* (sqrt 2) t) into (* t (sqrt 2)) * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* t (sqrt 2))) into (/ 1 (* t (* (sqrt 2) PI))) * [misc]taylor: Taking taylor expansion of (/ (/ (- 1 (* (* v v) 5)) PI) (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- (* 1 1) (* (* v v) (* v v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (* v v) 5)) PI) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (* v v) 5)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* v v) 5) in v * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 5) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- (* 1 1) (* (* v v) (* v v))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* v 3) v)))) in v * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* v 3) v))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* v 3) v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* v 3) v) in v * [misc]taylor: Taking taylor expansion of (* v 3) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 3) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 3)) into 3 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 3 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (* t (- (* 1 1) (* (* v v) (* v v)))) in v * [misc]taylor: Taking taylor expansion of t in v * [misc]backup-simplify: Simplify t into t * [misc]taylor: Taking taylor expansion of (- (* 1 1) (* (* v v) (* v v))) in v * [misc]taylor: Taking taylor expansion of (* 1 1) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* v v) (* v v)) in v * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* t 1) into t * [misc]backup-simplify: Simplify (* (sqrt 2) t) into (* t (sqrt 2)) * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* t (sqrt 2))) into (/ 1 (* t (* (sqrt 2) PI))) * [misc]taylor: Taking taylor expansion of (/ 1 (* t (* (sqrt 2) PI))) in t * [misc]taylor: Taking taylor expansion of (* t (* (sqrt 2) PI)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) PI) in t * [misc]taylor: Taking taylor expansion of (sqrt 2) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (sqrt 2) PI) into (* (sqrt 2) PI) * [misc]backup-simplify: Simplify (* 0 (* (sqrt 2) PI)) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* (sqrt 2) PI))) into (* (sqrt 2) PI) * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) PI)) into (/ 1 (* (sqrt 2) PI)) * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) PI)) into (/ 1 (* (sqrt 2) PI)) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 5)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 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 (+ (* t 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 t)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* t (sqrt 2))) (+ (* (/ 1 (* t (* (sqrt 2) PI))) (/ 0 (* t (sqrt 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* (sqrt 2) PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) PI)) (/ 0 (* (sqrt 2) PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 5))) into 5 * [misc]backup-simplify: Simplify (- 5) into -5 * [misc]backup-simplify: Simplify (+ 0 -5) into -5 * [misc]backup-simplify: Simplify (- (/ -5 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into (- (* 5 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (+ (* 0 0) (* 1 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* t 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 1) (* 0 0))) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (+ (* 2 -3) (+ (* 0 0) (* 0 1))) into -6 * [misc]backup-simplify: Simplify (/ (- -6 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ -3 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* (/ -3 (sqrt 2)) t))) into (- (* 3 (/ t (sqrt 2)))) * [misc]backup-simplify: Simplify (- (/ (- (* 5 (/ 1 PI))) (* t (sqrt 2))) (+ (* (/ 1 (* t (* (sqrt 2) PI))) (/ (- (* 3 (/ t (sqrt 2)))) (* t (sqrt 2)))) (* 0 (/ 0 (* t (sqrt 2)))))) into (- (* 3 (/ 1 (* t (* (pow (sqrt 2) 3) PI)))) (* 5 (/ 1 (* t (* (sqrt 2) PI))))) * [misc]taylor: Taking taylor expansion of (- (* 3 (/ 1 (* t (* (pow (sqrt 2) 3) PI)))) (* 5 (/ 1 (* t (* (sqrt 2) PI))))) in t * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (* t (* (pow (sqrt 2) 3) PI)))) in t * [misc]taylor: Taking taylor expansion of 3 in t * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (* t (* (pow (sqrt 2) 3) PI))) in t * [misc]taylor: Taking taylor expansion of (* t (* (pow (sqrt 2) 3) PI)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (sqrt 2) 3) PI) in t * [misc]taylor: Taking taylor expansion of (pow (sqrt 2) 3) in t * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqrt 2)))) in t * [misc]taylor: Taking taylor expansion of (* 3 (log (sqrt 2))) in t * [misc]taylor: Taking taylor expansion of 3 in t * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqrt 2)) in t * [misc]taylor: Taking taylor expansion of (sqrt 2) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (log (sqrt 2)) into (log (sqrt 2)) * [misc]backup-simplify: Simplify (* 3 (log (sqrt 2))) into (* 3 (log (sqrt 2))) * [misc]backup-simplify: Simplify (exp (* 3 (log (sqrt 2)))) into (pow (sqrt 2) 3) * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (pow (sqrt 2) 3) PI) into (* (pow (sqrt 2) 3) PI) * [misc]backup-simplify: Simplify (* 0 (* (pow (sqrt 2) 3) PI)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (sqrt 2) 3) 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* (pow (sqrt 2) 3) PI))) into (* (pow (sqrt 2) 3) PI) * [misc]backup-simplify: Simplify (/ 1 (* (pow (sqrt 2) 3) PI)) into (/ 1 (* (pow (sqrt 2) 3) PI)) * [misc]taylor: Taking taylor expansion of (* 5 (/ 1 (* t (* (sqrt 2) PI)))) in t * [misc]taylor: Taking taylor expansion of 5 in t * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (/ 1 (* t (* (sqrt 2) PI))) in t * [misc]taylor: Taking taylor expansion of (* t (* (sqrt 2) PI)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) PI) in t * [misc]taylor: Taking taylor expansion of (sqrt 2) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (sqrt 2) PI) into (* (sqrt 2) PI) * [misc]backup-simplify: Simplify (* 0 (* (sqrt 2) PI)) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* (sqrt 2) PI))) into (* (sqrt 2) PI) * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) PI)) into (/ 1 (* (sqrt 2) PI)) * [misc]backup-simplify: Simplify (* 3 (/ 1 (* (pow (sqrt 2) 3) PI))) into (/ 3 (* (pow (sqrt 2) 3) PI)) * [misc]backup-simplify: Simplify (* 5 (/ 1 (* (sqrt 2) PI))) into (/ 5 (* (sqrt 2) PI)) * [misc]backup-simplify: Simplify (- (/ 5 (* (sqrt 2) PI))) into (- (* 5 (/ 1 (* (sqrt 2) PI)))) * [misc]backup-simplify: Simplify (+ (/ 3 (* (pow (sqrt 2) 3) PI)) (- (* 5 (/ 1 (* (sqrt 2) PI))))) into (- (* 3 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 5 (/ 1 (* (sqrt 2) PI)))) * [misc]backup-simplify: Simplify (- (* 3 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 5 (/ 1 (* (sqrt 2) PI)))) into (- (* 3 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 5 (/ 1 (* (sqrt 2) PI)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* (sqrt 2) PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) PI)) (/ 0 (* (sqrt 2) PI))) (* 0 (/ 0 (* (sqrt 2) PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 5)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* (- (* 5 (/ 1 PI))) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 1) (+ (* 1 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* t 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 -3) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -3 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* (/ -3 (sqrt 2)) 0) (* 0 t)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* t (sqrt 2))) (+ (* (/ 1 (* t (* (sqrt 2) PI))) (/ 0 (* t (sqrt 2)))) (* 0 (/ (- (* 3 (/ t (sqrt 2)))) (* t (sqrt 2)))) (* (- (* 3 (/ 1 (* t (* (pow (sqrt 2) 3) PI)))) (* 5 (/ 1 (* t (* (sqrt 2) PI))))) (/ 0 (* t (sqrt 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (sqrt 2) 3) 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* (pow (sqrt 2) 3) PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (pow (sqrt 2) 3) PI)) (/ 0 (* (pow (sqrt 2) 3) PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (/ 1 (* (pow (sqrt 2) 3) PI)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* (sqrt 2) PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) PI)) (/ 0 (* (sqrt 2) PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (* 0 (/ 1 (* (sqrt 2) PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt 2) PI)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) PI)) (/ 0 (* (sqrt 2) PI))) (* 0 (/ 0 (* (sqrt 2) PI))) (* 0 (/ 0 (* (sqrt 2) PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 5))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* (- (* 5 (/ 1 PI))) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 1) (+ (* 0 0) (* 0 0))))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* t -1) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into (- t) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 -3) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ -3 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (/ -9/2 (pow (sqrt 2) 3)) * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (- t)) (+ (* 0 0) (+ (* (/ -3 (sqrt 2)) 0) (+ (* 0 0) (* (/ -9/2 (pow (sqrt 2) 3)) t))))) into (- (+ (* t (sqrt 2)) (* 9/2 (/ t (pow (sqrt 2) 3))))) * [misc]backup-simplify: Simplify (- (/ 0 (* t (sqrt 2))) (+ (* (/ 1 (* t (* (sqrt 2) PI))) (/ (- (+ (* t (sqrt 2)) (* 9/2 (/ t (pow (sqrt 2) 3))))) (* t (sqrt 2)))) (* 0 (/ 0 (* t (sqrt 2)))) (* (- (* 3 (/ 1 (* t (* (pow (sqrt 2) 3) PI)))) (* 5 (/ 1 (* t (* (sqrt 2) PI))))) (/ (- (* 3 (/ t (sqrt 2)))) (* t (sqrt 2)))) (* 0 (/ 0 (* t (sqrt 2)))))) into (- (+ (* 27/2 (/ 1 (* t (* (pow (sqrt 2) 5) PI)))) (/ 1 (* t (* (sqrt 2) PI)))) (* 15 (/ 1 (* t (* (pow (sqrt 2) 3) PI))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 27/2 (/ 1 (* t (* (pow (sqrt 2) 5) PI)))) (/ 1 (* t (* (sqrt 2) PI)))) (* 15 (/ 1 (* t (* (pow (sqrt 2) 3) PI))))) in t * [misc]taylor: Taking taylor expansion of (+ (* 27/2 (/ 1 (* t (* (pow (sqrt 2) 5) PI)))) (/ 1 (* t (* (sqrt 2) PI)))) in t * [misc]taylor: Taking taylor expansion of (* 27/2 (/ 1 (* t (* (pow (sqrt 2) 5) PI)))) in t * [misc]taylor: Taking taylor expansion of 27/2 in t * [misc]backup-simplify: Simplify 27/2 into 27/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* t (* (pow (sqrt 2) 5) PI))) in t * [misc]taylor: Taking taylor expansion of (* t (* (pow (sqrt 2) 5) PI)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (sqrt 2) 5) PI) in t * [misc]taylor: Taking taylor expansion of (pow (sqrt 2) 5) in t * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (sqrt 2)))) in t * [misc]taylor: Taking taylor expansion of (* 5 (log (sqrt 2))) in t * [misc]taylor: Taking taylor expansion of 5 in t * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (sqrt 2)) in t * [misc]taylor: Taking taylor expansion of (sqrt 2) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (log (sqrt 2)) into (log (sqrt 2)) * [misc]backup-simplify: Simplify (* 5 (log (sqrt 2))) into (* 5 (log (sqrt 2))) * [misc]backup-simplify: Simplify (exp (* 5 (log (sqrt 2)))) into (pow (sqrt 2) 5) * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (pow (sqrt 2) 5) PI) into (* (pow (sqrt 2) 5) PI) * [misc]backup-simplify: Simplify (* 0 (* (pow (sqrt 2) 5) PI)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (* 0 (log (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 5 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (sqrt 2) 5) 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* (pow (sqrt 2) 5) PI))) into (* (pow (sqrt 2) 5) PI) * [misc]backup-simplify: Simplify (/ 1 (* (pow (sqrt 2) 5) PI)) into (/ 1 (* (pow (sqrt 2) 5) PI)) * [misc]taylor: Taking taylor expansion of (/ 1 (* t (* (sqrt 2) PI))) in t * [misc]taylor: Taking taylor expansion of (* t (* (sqrt 2) PI)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) PI) in t * [misc]taylor: Taking taylor expansion of (sqrt 2) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (sqrt 2) PI) into (* (sqrt 2) PI) * [misc]backup-simplify: Simplify (* 0 (* (sqrt 2) PI)) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* (sqrt 2) PI))) into (* (sqrt 2) PI) * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) PI)) into (/ 1 (* (sqrt 2) PI)) * [misc]taylor: Taking taylor expansion of (* 15 (/ 1 (* t (* (pow (sqrt 2) 3) PI)))) in t * [misc]taylor: Taking taylor expansion of 15 in t * [misc]backup-simplify: Simplify 15 into 15 * [misc]taylor: Taking taylor expansion of (/ 1 (* t (* (pow (sqrt 2) 3) PI))) in t * [misc]taylor: Taking taylor expansion of (* t (* (pow (sqrt 2) 3) PI)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (sqrt 2) 3) PI) in t * [misc]taylor: Taking taylor expansion of (pow (sqrt 2) 3) in t * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqrt 2)))) in t * [misc]taylor: Taking taylor expansion of (* 3 (log (sqrt 2))) in t * [misc]taylor: Taking taylor expansion of 3 in t * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqrt 2)) in t * [misc]taylor: Taking taylor expansion of (sqrt 2) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (log (sqrt 2)) into (log (sqrt 2)) * [misc]backup-simplify: Simplify (* 3 (log (sqrt 2))) into (* 3 (log (sqrt 2))) * [misc]backup-simplify: Simplify (exp (* 3 (log (sqrt 2)))) into (pow (sqrt 2) 3) * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (pow (sqrt 2) 3) PI) into (* (pow (sqrt 2) 3) PI) * [misc]backup-simplify: Simplify (* 0 (* (pow (sqrt 2) 3) PI)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (sqrt 2) 3) 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* (pow (sqrt 2) 3) PI))) into (* (pow (sqrt 2) 3) PI) * [misc]backup-simplify: Simplify (/ 1 (* (pow (sqrt 2) 3) PI)) into (/ 1 (* (pow (sqrt 2) 3) PI)) * [misc]backup-simplify: Simplify (* 27/2 (/ 1 (* (pow (sqrt 2) 5) PI))) into (/ 27/2 (* (pow (sqrt 2) 5) PI)) * [misc]backup-simplify: Simplify (+ (/ 27/2 (* (pow (sqrt 2) 5) PI)) (/ 1 (* (sqrt 2) PI))) into (+ (/ 1 (* (sqrt 2) PI)) (* 27/2 (/ 1 (* (pow (sqrt 2) 5) PI)))) * [misc]backup-simplify: Simplify (* 15 (/ 1 (* (pow (sqrt 2) 3) PI))) into (/ 15 (* (pow (sqrt 2) 3) PI)) * [misc]backup-simplify: Simplify (- (/ 15 (* (pow (sqrt 2) 3) PI))) into (- (* 15 (/ 1 (* (pow (sqrt 2) 3) PI)))) * [misc]backup-simplify: Simplify (+ (+ (/ 1 (* (sqrt 2) PI)) (* 27/2 (/ 1 (* (pow (sqrt 2) 5) PI)))) (- (* 15 (/ 1 (* (pow (sqrt 2) 3) PI))))) into (- (+ (/ 1 (* (sqrt 2) PI)) (* 27/2 (/ 1 (* (pow (sqrt 2) 5) PI)))) (* 15 (/ 1 (* (pow (sqrt 2) 3) PI)))) * [misc]backup-simplify: Simplify (- (+ (/ 1 (* (sqrt 2) PI)) (* 27/2 (/ 1 (* (pow (sqrt 2) 5) PI)))) (* 15 (/ 1 (* (pow (sqrt 2) 3) PI)))) into (- (+ (/ 1 (* (sqrt 2) PI)) (* 27/2 (/ 1 (* (pow (sqrt 2) 5) PI)))) (* 15 (/ 1 (* (pow (sqrt 2) 3) PI)))) * [misc]backup-simplify: Simplify (+ (* (- (+ (/ 1 (* (sqrt 2) PI)) (* 27/2 (/ 1 (* (pow (sqrt 2) 5) PI)))) (* 15 (/ 1 (* (pow (sqrt 2) 3) PI)))) (* (/ 1 t) (pow v 4))) (+ (* (- (* 3 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 5 (/ 1 (* (sqrt 2) PI)))) (* (/ 1 t) (pow v 2))) (* (/ 1 (* (sqrt 2) PI)) (* (/ 1 t) 1)))) into (- (+ (/ (pow v 4) (* t (* (sqrt 2) PI))) (+ (/ 1 (* t (* (sqrt 2) PI))) (+ (* 3 (/ (pow v 2) (* t (* (pow (sqrt 2) 3) PI)))) (* 27/2 (/ (pow v 4) (* t (* (pow (sqrt 2) 5) PI))))))) (+ (* 5 (/ (pow v 2) (* t (* (sqrt 2) PI)))) (* 15 (/ (pow v 4) (* t (* (pow (sqrt 2) 3) PI)))))) * [misc]approximate: Taking taylor expansion of (/ (/ (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) PI) (* (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))) (* (/ 1 t) (- (* 1 1) (* (* (/ 1 v) (/ 1 v)) (* (/ 1 v) (/ 1 v))))))) in (v t) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) PI) (* (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))) (* (/ 1 t) (- (* 1 1) (* (* (/ 1 v) (/ 1 v)) (* (/ 1 v) (/ 1 v))))))) in t * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) PI) in t * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) (/ 1 v)) 5) in t * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in t * [misc]taylor: Taking taylor expansion of (/ 1 v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (/ 1 v) into (/ 1 v) * [misc]taylor: Taking taylor expansion of (/ 1 v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (/ 1 v) into (/ 1 v) * [misc]taylor: Taking taylor expansion of 5 in t * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (/ 1 v) (/ 1 v)) into (/ 1 (pow v 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow v 2)) 5) into (/ 5 (pow v 2)) * [misc]backup-simplify: Simplify (- (/ 5 (pow v 2))) into (- (* 5 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (+ 1 (- (* 5 (/ 1 (pow v 2))))) into (- 1 (* 5 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (/ (- 1 (* 5 (/ 1 (pow v 2)))) PI) into (/ (- 1 (* 5 (/ 1 (pow v 2)))) PI) * [misc]taylor: Taking taylor expansion of (* (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))) (* (/ 1 t) (- (* 1 1) (* (* (/ 1 v) (/ 1 v)) (* (/ 1 v) (/ 1 v)))))) in t * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))) in t * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 v) 3) (/ 1 v))) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) 3) (/ 1 v)) in t * [misc]taylor: Taking taylor expansion of (* (/ 1 v) 3) in t * [misc]taylor: Taking taylor expansion of (/ 1 v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (/ 1 v) into (/ 1 v) * [misc]taylor: Taking taylor expansion of 3 in t * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (/ 1 v) into (/ 1 v) * [misc]backup-simplify: Simplify (* (/ 1 v) 3) into (/ 3 v) * [misc]backup-simplify: Simplify (* (/ 3 v) (/ 1 v)) into (/ 3 (pow v 2)) * [misc]backup-simplify: Simplify (- (/ 3 (pow v 2))) into (- (* 3 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (+ 1 (- (* 3 (/ 1 (pow v 2))))) into (- 1 (* 3 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (* 2 (- 1 (* 3 (/ 1 (pow v 2))))) into (* 2 (- 1 (* 3 (/ 1 (pow v 2))))) * [misc]backup-simplify: Simplify (sqrt (* 2 (- 1 (* 3 (/ 1 (pow v 2)))))) into (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 v) (/ 0 v)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 v) (/ 0 v)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 v) 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 3 v) 0) (* 0 (/ 1 v))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- 1 (* 3 (/ 1 (pow v 2)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 2 (- 1 (* 3 (/ 1 (pow v 2)))))))) into 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 t) (- (* 1 1) (* (* (/ 1 v) (/ 1 v)) (* (/ 1 v) (/ 1 v))))) in t * [misc]taylor: Taking taylor expansion of (/ 1 t) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (* 1 1) (* (* (/ 1 v) (/ 1 v)) (* (/ 1 v) (/ 1 v)))) in t * [misc]taylor: Taking taylor expansion of (* 1 1) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) (/ 1 v)) (* (/ 1 v) (/ 1 v))) in t * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in t * [misc]taylor: Taking taylor expansion of (/ 1 v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (/ 1 v) into (/ 1 v) * [misc]taylor: Taking taylor expansion of (/ 1 v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (/ 1 v) into (/ 1 v) * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in t * [misc]taylor: Taking taylor expansion of (/ 1 v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (/ 1 v) into (/ 1 v) * [misc]taylor: Taking taylor expansion of (/ 1 v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (/ 1 v) into (/ 1 v) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 v) (/ 1 v)) into (/ 1 (pow v 2)) * [misc]backup-simplify: Simplify (* (/ 1 v) (/ 1 v)) into (/ 1 (pow v 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow v 2)) (/ 1 (pow v 2))) into (/ 1 (pow v 4)) * [misc]backup-simplify: Simplify (- (/ 1 (pow v 4))) into (- (/ 1 (pow v 4))) * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 (pow v 4)))) into (- 1 (/ 1 (pow v 4))) * [misc]backup-simplify: Simplify (* 1 (- 1 (/ 1 (pow v 4)))) into (- 1 (/ 1 (pow v 4))) * [misc]backup-simplify: Simplify (* (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))) (- 1 (/ 1 (pow v 4)))) into (* (* (sqrt 2) (- 1 (/ 1 (pow v 4)))) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))) * [misc]backup-simplify: Simplify (/ (/ (- 1 (* 5 (/ 1 (pow v 2)))) PI) (* (* (sqrt 2) (- 1 (/ 1 (pow v 4)))) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) into (* (/ (- 1 (* 5 (/ 1 (pow v 2)))) (* (sqrt 2) (* (- 1 (/ 1 (pow v 4))) PI))) (sqrt (/ 1 (- 1 (* 3 (/ 1 (pow v 2))))))) * [misc]taylor: Taking taylor expansion of (/ (/ (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) PI) (* (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))) (* (/ 1 t) (- (* 1 1) (* (* (/ 1 v) (/ 1 v)) (* (/ 1 v) (/ 1 v))))))) in v * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) PI) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) (/ 1 v)) 5) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 5) into 5 * [misc]backup-simplify: Simplify (- 5) into -5 * [misc]backup-simplify: Simplify (+ 0 -5) into -5 * [misc]backup-simplify: Simplify (/ -5 PI) into (/ -5 PI) * [misc]taylor: Taking taylor expansion of (* (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))) (* (/ 1 t) (- (* 1 1) (* (* (/ 1 v) (/ 1 v)) (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 v) 3) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) 3) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) 3) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 3) into 3 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* 2 -3) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -3)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 t) (- (* 1 1) (* (* (/ 1 v) (/ 1 v)) (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (/ 1 t) in v * [misc]taylor: Taking taylor expansion of t in v * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (/ 1 t) into (/ 1 t) * [misc]taylor: Taking taylor expansion of (- (* 1 1) (* (* (/ 1 v) (/ 1 v)) (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (* 1 1) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) (/ 1 v)) (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ 1 t) -1) into (/ -1 t) * [misc]backup-simplify: Simplify (* (sqrt -6) (/ -1 t)) into (* -1 (/ (sqrt -6) t)) * [misc]backup-simplify: Simplify (/ (/ -5 PI) (* -1 (/ (sqrt -6) t))) into (* 5 (/ t (* (sqrt -6) PI))) * [misc]taylor: Taking taylor expansion of (/ (/ (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) PI) (* (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))) (* (/ 1 t) (- (* 1 1) (* (* (/ 1 v) (/ 1 v)) (* (/ 1 v) (/ 1 v))))))) in v * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) PI) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) (/ 1 v)) 5) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 5) into 5 * [misc]backup-simplify: Simplify (- 5) into -5 * [misc]backup-simplify: Simplify (+ 0 -5) into -5 * [misc]backup-simplify: Simplify (/ -5 PI) into (/ -5 PI) * [misc]taylor: Taking taylor expansion of (* (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))) (* (/ 1 t) (- (* 1 1) (* (* (/ 1 v) (/ 1 v)) (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 v) 3) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) 3) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) 3) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 3) into 3 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* 2 -3) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -3)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 t) (- (* 1 1) (* (* (/ 1 v) (/ 1 v)) (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (/ 1 t) in v * [misc]taylor: Taking taylor expansion of t in v * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (/ 1 t) into (/ 1 t) * [misc]taylor: Taking taylor expansion of (- (* 1 1) (* (* (/ 1 v) (/ 1 v)) (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (* 1 1) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) (/ 1 v)) (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ 1 t) -1) into (/ -1 t) * [misc]backup-simplify: Simplify (* (sqrt -6) (/ -1 t)) into (* -1 (/ (sqrt -6) t)) * [misc]backup-simplify: Simplify (/ (/ -5 PI) (* -1 (/ (sqrt -6) t))) into (* 5 (/ t (* (sqrt -6) PI))) * [misc]taylor: Taking taylor expansion of (* 5 (/ t (* (sqrt -6) PI))) in t * [misc]taylor: Taking taylor expansion of 5 in t * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (/ t (* (sqrt -6) PI)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sqrt -6) PI) in t * [misc]taylor: Taking taylor expansion of (sqrt -6) in t * [misc]taylor: Taking taylor expansion of -6 in t * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (sqrt -6) PI) into (* (sqrt -6) PI) * [misc]backup-simplify: Simplify (/ 1 (* (sqrt -6) PI)) into (/ 1 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (* 5 (/ 1 (* (sqrt -6) PI))) into (/ 5 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (/ 5 (* (sqrt -6) PI)) into (/ 5 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 5)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -5 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 t) (/ 0 t)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 t) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt -6) 0) (* 0 (/ -1 t))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -1 (/ (sqrt -6) t))) (+ (* (* 5 (/ t (* (sqrt -6) PI))) (/ 0 (* -1 (/ (sqrt -6) t)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt -6) 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt -6) PI)) (+ (* (/ 1 (* (sqrt -6) PI)) (/ 0 (* (sqrt -6) PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (* 0 (/ 1 (* (sqrt -6) PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 5))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 PI) (+ (* (/ -5 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into (/ 1 PI) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 t) (/ 0 t)) (* 0 (/ 0 t)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 t) 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 2 1) (+ (* 0 0) (* 0 -3))) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (+ (* (sqrt -6) 0) (+ (* 0 0) (* (/ 1 (sqrt -6)) (/ -1 t)))) into (- (/ 1 (* t (sqrt -6)))) * [misc]backup-simplify: Simplify (- (/ (/ 1 PI) (* -1 (/ (sqrt -6) t))) (+ (* (* 5 (/ t (* (sqrt -6) PI))) (/ (- (/ 1 (* t (sqrt -6)))) (* -1 (/ (sqrt -6) t)))) (* 0 (/ 0 (* -1 (/ (sqrt -6) t)))))) into (- (+ (* 5 (/ t (* (pow (sqrt -6) 3) PI))) (/ t (* (sqrt -6) PI)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 5 (/ t (* (pow (sqrt -6) 3) PI))) (/ t (* (sqrt -6) PI)))) in t * [misc]taylor: Taking taylor expansion of (+ (* 5 (/ t (* (pow (sqrt -6) 3) PI))) (/ t (* (sqrt -6) PI))) in t * [misc]taylor: Taking taylor expansion of (* 5 (/ t (* (pow (sqrt -6) 3) PI))) in t * [misc]taylor: Taking taylor expansion of 5 in t * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (/ t (* (pow (sqrt -6) 3) PI)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (sqrt -6) 3) PI) in t * [misc]taylor: Taking taylor expansion of (pow (sqrt -6) 3) in t * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqrt -6)))) in t * [misc]taylor: Taking taylor expansion of (* 3 (log (sqrt -6))) in t * [misc]taylor: Taking taylor expansion of 3 in t * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqrt -6)) in t * [misc]taylor: Taking taylor expansion of (sqrt -6) in t * [misc]taylor: Taking taylor expansion of -6 in t * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (log (sqrt -6)) into (log (sqrt -6)) * [misc]backup-simplify: Simplify (* 3 (log (sqrt -6))) into (* 3 (log (sqrt -6))) * [misc]backup-simplify: Simplify (exp (* 3 (log (sqrt -6)))) into (pow (sqrt -6) 3) * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (pow (sqrt -6) 3) PI) into (* (pow (sqrt -6) 3) PI) * [misc]backup-simplify: Simplify (/ 1 (* (pow (sqrt -6) 3) PI)) into (/ 1 (* (pow (sqrt -6) 3) PI)) * [misc]taylor: Taking taylor expansion of (/ t (* (sqrt -6) PI)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sqrt -6) PI) in t * [misc]taylor: Taking taylor expansion of (sqrt -6) in t * [misc]taylor: Taking taylor expansion of -6 in t * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (sqrt -6) PI) into (* (sqrt -6) PI) * [misc]backup-simplify: Simplify (/ 1 (* (sqrt -6) PI)) into (/ 1 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (* 5 (/ 1 (* (pow (sqrt -6) 3) PI))) into (/ 5 (* (pow (sqrt -6) 3) PI)) * [misc]backup-simplify: Simplify (+ (/ 5 (* (pow (sqrt -6) 3) PI)) (/ 1 (* (sqrt -6) PI))) into (+ (* 5 (/ 1 (* (pow (sqrt -6) 3) PI))) (/ 1 (* (sqrt -6) PI))) * [misc]backup-simplify: Simplify (- (+ (* 5 (/ 1 (* (pow (sqrt -6) 3) PI))) (/ 1 (* (sqrt -6) PI)))) into (- (+ (* 5 (/ 1 (* (pow (sqrt -6) 3) PI))) (/ 1 (* (sqrt -6) PI)))) * [misc]backup-simplify: Simplify (- (+ (* 5 (/ 1 (* (pow (sqrt -6) 3) PI))) (/ 1 (* (sqrt -6) PI)))) into (- (+ (* 5 (/ 1 (* (pow (sqrt -6) 3) PI))) (/ 1 (* (sqrt -6) PI)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt -6) 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt -6) PI)) (+ (* (/ 1 (* (sqrt -6) PI)) (/ 0 (* (sqrt -6) PI))) (* 0 (/ 0 (* (sqrt -6) PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (+ (* 0 0) (* 0 (/ 1 (* (sqrt -6) PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 5)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -5 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 t) (/ 0 t)) (* 0 (/ 0 t)) (* 0 (/ 0 t)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 t) 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (+ (* 0 0) (* 0 -3)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt -6) 0) (+ (* 0 0) (+ (* (/ 1 (sqrt -6)) 0) (* 0 (/ -1 t))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -1 (/ (sqrt -6) t))) (+ (* (* 5 (/ t (* (sqrt -6) PI))) (/ 0 (* -1 (/ (sqrt -6) t)))) (* 0 (/ (- (/ 1 (* t (sqrt -6)))) (* -1 (/ (sqrt -6) t)))) (* (- (+ (* 5 (/ t (* (pow (sqrt -6) 3) PI))) (/ t (* (sqrt -6) PI)))) (/ 0 (* -1 (/ (sqrt -6) t)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt -6) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (sqrt -6)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (sqrt -6)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (sqrt -6) 3) 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (pow (sqrt -6) 3) PI)) (+ (* (/ 1 (* (pow (sqrt -6) 3) PI)) (/ 0 (* (pow (sqrt -6) 3) PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (* 0 (/ 1 (* (pow (sqrt -6) 3) PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt -6) 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt -6) PI)) (+ (* (/ 1 (* (sqrt -6) PI)) (/ 0 (* (sqrt -6) PI))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt -6) 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt -6) PI)) (+ (* (/ 1 (* (sqrt -6) PI)) (/ 0 (* (sqrt -6) PI))) (* 0 (/ 0 (* (sqrt -6) PI))) (* 0 (/ 0 (* (sqrt -6) PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (sqrt -6) PI)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- (+ (* 5 (/ 1 (* (pow (sqrt -6) 3) PI))) (/ 1 (* (sqrt -6) PI)))) (* (/ 1 t) (pow (/ 1 v) 5))) (* (/ 5 (* (sqrt -6) PI)) (* (/ 1 t) (pow (/ 1 v) 3)))) into (- (* 5 (/ 1 (* t (* (pow v 3) (* (sqrt -6) PI))))) (+ (* 5 (/ 1 (* t (* (pow v 5) (* (pow (sqrt -6) 3) PI))))) (/ 1 (* t (* (pow v 5) (* (sqrt -6) PI)))))) * [misc]approximate: Taking taylor expansion of (/ (/ (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) PI) (* (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))) (* (/ 1 (- t)) (- (* 1 1) (* (* (/ 1 (- v)) (/ 1 (- v))) (* (/ 1 (- v)) (/ 1 (- v)))))))) in (v t) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) PI) (* (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))) (* (/ 1 (- t)) (- (* 1 1) (* (* (/ 1 (- v)) (/ 1 (- v))) (* (/ 1 (- v)) (/ 1 (- v)))))))) in t * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) PI) in t * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) (/ 1 (- v))) 5) in t * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in t * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in t * [misc]taylor: Taking taylor expansion of (- v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (/ 1 (- v)) into (/ -1 v) * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in t * [misc]taylor: Taking taylor expansion of (- v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (/ 1 (- v)) into (/ -1 v) * [misc]taylor: Taking taylor expansion of 5 in t * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (/ -1 v) (/ -1 v)) into (/ 1 (pow v 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow v 2)) 5) into (/ 5 (pow v 2)) * [misc]backup-simplify: Simplify (- (/ 5 (pow v 2))) into (- (* 5 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (+ 1 (- (* 5 (/ 1 (pow v 2))))) into (- 1 (* 5 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (/ (- 1 (* 5 (/ 1 (pow v 2)))) PI) into (/ (- 1 (* 5 (/ 1 (pow v 2)))) PI) * [misc]taylor: Taking taylor expansion of (* (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))) (* (/ 1 (- t)) (- (* 1 1) (* (* (/ 1 (- v)) (/ 1 (- v))) (* (/ 1 (- v)) (/ 1 (- v))))))) in t * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))) in t * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) 3) (/ 1 (- v))) in t * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) 3) in t * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in t * [misc]taylor: Taking taylor expansion of (- v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (/ 1 (- v)) into (/ -1 v) * [misc]taylor: Taking taylor expansion of 3 in t * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in t * [misc]taylor: Taking taylor expansion of (- v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (/ 1 (- v)) into (/ -1 v) * [misc]backup-simplify: Simplify (* (/ -1 v) 3) into (/ -3 v) * [misc]backup-simplify: Simplify (* (/ -3 v) (/ -1 v)) into (/ 3 (pow v 2)) * [misc]backup-simplify: Simplify (- (/ 3 (pow v 2))) into (- (* 3 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (+ 1 (- (* 3 (/ 1 (pow v 2))))) into (- 1 (* 3 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (* 2 (- 1 (* 3 (/ 1 (pow v 2))))) into (* 2 (- 1 (* 3 (/ 1 (pow v 2))))) * [misc]backup-simplify: Simplify (sqrt (* 2 (- 1 (* 3 (/ 1 (pow v 2)))))) into (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 v) (/ 0 (- v))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 v) (/ 0 (- v))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 v) 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -3 v) 0) (* 0 (/ -1 v))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- 1 (* 3 (/ 1 (pow v 2)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 2 (- 1 (* 3 (/ 1 (pow v 2)))))))) into 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- t)) (- (* 1 1) (* (* (/ 1 (- v)) (/ 1 (- v))) (* (/ 1 (- v)) (/ 1 (- v)))))) in t * [misc]taylor: Taking taylor expansion of (/ 1 (- t)) in t * [misc]taylor: Taking taylor expansion of (- t) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (* 1 1) (* (* (/ 1 (- v)) (/ 1 (- v))) (* (/ 1 (- v)) (/ 1 (- v))))) in t * [misc]taylor: Taking taylor expansion of (* 1 1) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) (/ 1 (- v))) (* (/ 1 (- v)) (/ 1 (- v)))) in t * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in t * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in t * [misc]taylor: Taking taylor expansion of (- v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (/ 1 (- v)) into (/ -1 v) * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in t * [misc]taylor: Taking taylor expansion of (- v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (/ 1 (- v)) into (/ -1 v) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in t * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in t * [misc]taylor: Taking taylor expansion of (- v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (/ 1 (- v)) into (/ -1 v) * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in t * [misc]taylor: Taking taylor expansion of (- v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (/ 1 (- v)) into (/ -1 v) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ -1 v) (/ -1 v)) into (/ 1 (pow v 2)) * [misc]backup-simplify: Simplify (* (/ -1 v) (/ -1 v)) into (/ 1 (pow v 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow v 2)) (/ 1 (pow v 2))) into (/ 1 (pow v 4)) * [misc]backup-simplify: Simplify (- (/ 1 (pow v 4))) into (- (/ 1 (pow v 4))) * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 (pow v 4)))) into (- 1 (/ 1 (pow v 4))) * [misc]backup-simplify: Simplify (* -1 (- 1 (/ 1 (pow v 4)))) into (* -1 (- 1 (/ 1 (pow v 4)))) * [misc]backup-simplify: Simplify (* (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))) (* -1 (- 1 (/ 1 (pow v 4))))) into (* -1 (* (* (sqrt 2) (- 1 (/ 1 (pow v 4)))) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) * [misc]backup-simplify: Simplify (/ (/ (- 1 (* 5 (/ 1 (pow v 2)))) PI) (* -1 (* (* (sqrt 2) (- 1 (/ 1 (pow v 4)))) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))))) into (* -1 (* (/ (- 1 (* 5 (/ 1 (pow v 2)))) (* (sqrt 2) (* (- 1 (/ 1 (pow v 4))) PI))) (sqrt (/ 1 (- 1 (* 3 (/ 1 (pow v 2)))))))) * [misc]taylor: Taking taylor expansion of (/ (/ (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) PI) (* (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))) (* (/ 1 (- t)) (- (* 1 1) (* (* (/ 1 (- v)) (/ 1 (- v))) (* (/ 1 (- v)) (/ 1 (- v)))))))) in v * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) PI) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) (/ 1 (- v))) 5) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 5) into 5 * [misc]backup-simplify: Simplify (- 5) into -5 * [misc]backup-simplify: Simplify (+ 0 -5) into -5 * [misc]backup-simplify: Simplify (/ -5 PI) into (/ -5 PI) * [misc]taylor: Taking taylor expansion of (* (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))) (* (/ 1 (- t)) (- (* 1 1) (* (* (/ 1 (- v)) (/ 1 (- v))) (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) 3) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) 3) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 3) into -3 * [misc]backup-simplify: Simplify (* -3 -1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* 2 -3) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -3)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- t)) (- (* 1 1) (* (* (/ 1 (- v)) (/ 1 (- v))) (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- t)) in v * [misc]taylor: Taking taylor expansion of (- t) in v * [misc]taylor: Taking taylor expansion of t in v * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (/ 1 (- t)) into (/ -1 t) * [misc]taylor: Taking taylor expansion of (- (* 1 1) (* (* (/ 1 (- v)) (/ 1 (- v))) (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (* 1 1) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) (/ 1 (- v))) (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 t) -1) into (/ 1 t) * [misc]backup-simplify: Simplify (* (sqrt -6) (/ 1 t)) into (/ (sqrt -6) t) * [misc]backup-simplify: Simplify (/ (/ -5 PI) (/ (sqrt -6) t)) into (* -5 (/ t (* (sqrt -6) PI))) * [misc]taylor: Taking taylor expansion of (/ (/ (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) PI) (* (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))) (* (/ 1 (- t)) (- (* 1 1) (* (* (/ 1 (- v)) (/ 1 (- v))) (* (/ 1 (- v)) (/ 1 (- v)))))))) in v * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) PI) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) (/ 1 (- v))) 5) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 5) into 5 * [misc]backup-simplify: Simplify (- 5) into -5 * [misc]backup-simplify: Simplify (+ 0 -5) into -5 * [misc]backup-simplify: Simplify (/ -5 PI) into (/ -5 PI) * [misc]taylor: Taking taylor expansion of (* (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))) (* (/ 1 (- t)) (- (* 1 1) (* (* (/ 1 (- v)) (/ 1 (- v))) (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) 3) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) 3) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 3) into -3 * [misc]backup-simplify: Simplify (* -3 -1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* 2 -3) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -3)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- t)) (- (* 1 1) (* (* (/ 1 (- v)) (/ 1 (- v))) (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- t)) in v * [misc]taylor: Taking taylor expansion of (- t) in v * [misc]taylor: Taking taylor expansion of t in v * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (/ 1 (- t)) into (/ -1 t) * [misc]taylor: Taking taylor expansion of (- (* 1 1) (* (* (/ 1 (- v)) (/ 1 (- v))) (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (* 1 1) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) (/ 1 (- v))) (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 t) -1) into (/ 1 t) * [misc]backup-simplify: Simplify (* (sqrt -6) (/ 1 t)) into (/ (sqrt -6) t) * [misc]backup-simplify: Simplify (/ (/ -5 PI) (/ (sqrt -6) t)) into (* -5 (/ t (* (sqrt -6) PI))) * [misc]taylor: Taking taylor expansion of (* -5 (/ t (* (sqrt -6) PI))) in t * [misc]taylor: Taking taylor expansion of -5 in t * [misc]backup-simplify: Simplify -5 into -5 * [misc]taylor: Taking taylor expansion of (/ t (* (sqrt -6) PI)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sqrt -6) PI) in t * [misc]taylor: Taking taylor expansion of (sqrt -6) in t * [misc]taylor: Taking taylor expansion of -6 in t * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (sqrt -6) PI) into (* (sqrt -6) PI) * [misc]backup-simplify: Simplify (/ 1 (* (sqrt -6) PI)) into (/ 1 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (* -5 (/ 1 (* (sqrt -6) PI))) into (/ -5 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (/ -5 (* (sqrt -6) PI)) into (/ -5 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 5)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -5 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 t) (/ 0 (- t))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 t) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt -6) 0) (* 0 (/ 1 t))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ (sqrt -6) t)) (+ (* (* -5 (/ t (* (sqrt -6) PI))) (/ 0 (/ (sqrt -6) t))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt -6) 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt -6) PI)) (+ (* (/ 1 (* (sqrt -6) PI)) (/ 0 (* (sqrt -6) PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* -5 0) (* 0 (/ 1 (* (sqrt -6) PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 5))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 PI) (+ (* (/ -5 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into (/ 1 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 t) (/ 0 (- t))) (* 0 (/ 0 (- t))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 t) 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 2 1) (+ (* 0 0) (* 0 -3))) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (+ (* (sqrt -6) 0) (+ (* 0 0) (* (/ 1 (sqrt -6)) (/ 1 t)))) into (/ 1 (* t (sqrt -6))) * [misc]backup-simplify: Simplify (- (/ (/ 1 PI) (/ (sqrt -6) t)) (+ (* (* -5 (/ t (* (sqrt -6) PI))) (/ (/ 1 (* t (sqrt -6))) (/ (sqrt -6) t))) (* 0 (/ 0 (/ (sqrt -6) t))))) into (+ (* 5 (/ t (* (pow (sqrt -6) 3) PI))) (/ t (* (sqrt -6) PI))) * [misc]taylor: Taking taylor expansion of (+ (* 5 (/ t (* (pow (sqrt -6) 3) PI))) (/ t (* (sqrt -6) PI))) in t * [misc]taylor: Taking taylor expansion of (* 5 (/ t (* (pow (sqrt -6) 3) PI))) in t * [misc]taylor: Taking taylor expansion of 5 in t * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (/ t (* (pow (sqrt -6) 3) PI)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (sqrt -6) 3) PI) in t * [misc]taylor: Taking taylor expansion of (pow (sqrt -6) 3) in t * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqrt -6)))) in t * [misc]taylor: Taking taylor expansion of (* 3 (log (sqrt -6))) in t * [misc]taylor: Taking taylor expansion of 3 in t * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqrt -6)) in t * [misc]taylor: Taking taylor expansion of (sqrt -6) in t * [misc]taylor: Taking taylor expansion of -6 in t * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (log (sqrt -6)) into (log (sqrt -6)) * [misc]backup-simplify: Simplify (* 3 (log (sqrt -6))) into (* 3 (log (sqrt -6))) * [misc]backup-simplify: Simplify (exp (* 3 (log (sqrt -6)))) into (pow (sqrt -6) 3) * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (pow (sqrt -6) 3) PI) into (* (pow (sqrt -6) 3) PI) * [misc]backup-simplify: Simplify (/ 1 (* (pow (sqrt -6) 3) PI)) into (/ 1 (* (pow (sqrt -6) 3) PI)) * [misc]taylor: Taking taylor expansion of (/ t (* (sqrt -6) PI)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sqrt -6) PI) in t * [misc]taylor: Taking taylor expansion of (sqrt -6) in t * [misc]taylor: Taking taylor expansion of -6 in t * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (sqrt -6) PI) into (* (sqrt -6) PI) * [misc]backup-simplify: Simplify (/ 1 (* (sqrt -6) PI)) into (/ 1 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (* 5 (/ 1 (* (pow (sqrt -6) 3) PI))) into (/ 5 (* (pow (sqrt -6) 3) PI)) * [misc]backup-simplify: Simplify (+ (/ 5 (* (pow (sqrt -6) 3) PI)) (/ 1 (* (sqrt -6) PI))) into (+ (* 5 (/ 1 (* (pow (sqrt -6) 3) PI))) (/ 1 (* (sqrt -6) PI))) * [misc]backup-simplify: Simplify (+ (* 5 (/ 1 (* (pow (sqrt -6) 3) PI))) (/ 1 (* (sqrt -6) PI))) into (+ (* 5 (/ 1 (* (pow (sqrt -6) 3) PI))) (/ 1 (* (sqrt -6) PI))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt -6) 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt -6) PI)) (+ (* (/ 1 (* (sqrt -6) PI)) (/ 0 (* (sqrt -6) PI))) (* 0 (/ 0 (* (sqrt -6) PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* -5 0) (+ (* 0 0) (* 0 (/ 1 (* (sqrt -6) PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 5)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -5 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 t) (/ 0 (- t))) (* 0 (/ 0 (- t))) (* 0 (/ 0 (- t))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 t) 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (+ (* 0 0) (* 0 -3)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt -6) 0) (+ (* 0 0) (+ (* (/ 1 (sqrt -6)) 0) (* 0 (/ 1 t))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ (sqrt -6) t)) (+ (* (* -5 (/ t (* (sqrt -6) PI))) (/ 0 (/ (sqrt -6) t))) (* 0 (/ (/ 1 (* t (sqrt -6))) (/ (sqrt -6) t))) (* (+ (* 5 (/ t (* (pow (sqrt -6) 3) PI))) (/ t (* (sqrt -6) PI))) (/ 0 (/ (sqrt -6) t))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt -6) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (sqrt -6)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (sqrt -6)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (sqrt -6) 3) 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (pow (sqrt -6) 3) PI)) (+ (* (/ 1 (* (pow (sqrt -6) 3) PI)) (/ 0 (* (pow (sqrt -6) 3) PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (* 0 (/ 1 (* (pow (sqrt -6) 3) PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt -6) 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt -6) PI)) (+ (* (/ 1 (* (sqrt -6) PI)) (/ 0 (* (sqrt -6) PI))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt -6) 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt -6) PI)) (+ (* (/ 1 (* (sqrt -6) PI)) (/ 0 (* (sqrt -6) PI))) (* 0 (/ 0 (* (sqrt -6) PI))) (* 0 (/ 0 (* (sqrt -6) PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* -5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (sqrt -6) PI)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 5 (/ 1 (* (pow (sqrt -6) 3) PI))) (/ 1 (* (sqrt -6) PI))) (* (/ 1 (- t)) (pow (/ 1 (- v)) 5))) (* (/ -5 (* (sqrt -6) PI)) (* (/ 1 (- t)) (pow (/ 1 (- v)) 3)))) into (- (+ (* 5 (/ 1 (* t (* (pow v 5) (* (pow (sqrt -6) 3) PI))))) (/ 1 (* t (* (pow v 5) (* (sqrt -6) PI))))) (* 5 (/ 1 (* t (* (pow v 3) (* (sqrt -6) PI)))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1 2) * [misc]approximate: Taking taylor expansion of (* (* v v) 5) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* v v) 5) in v * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (* (* v v) 5) in v * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 5) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 5)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 5))) into 5 * [misc]backup-simplify: Simplify 5 into 5 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 5)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 5))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 5)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 5))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 5)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 5))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 5 (pow v 2)) into (* 5 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 v) (/ 1 v)) 5) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) (/ 1 v)) 5) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) (/ 1 v)) 5) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 5) into 5 * [misc]backup-simplify: Simplify 5 into 5 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 5)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 5))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 5)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 5))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 5)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 5))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 5 (pow (/ 1 (/ 1 v)) 2)) into (* 5 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 (- v)) (/ 1 (- v))) 5) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) (/ 1 (- v))) 5) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) (/ 1 (- v))) 5) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 5) into 5 * [misc]backup-simplify: Simplify 5 into 5 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 5)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 5))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 5)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 5))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 5)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 5))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 5 (pow (/ 1 (/ 1 (- v))) 2)) into (* 5 (pow v 2)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2 1 1 2 2) * [misc]approximate: Taking taylor expansion of (* (* v 3) v) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* v 3) v) in v * [misc]taylor: Taking taylor expansion of (* v 3) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* v 3) v) in v * [misc]taylor: Taking taylor expansion of (* v 3) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 3) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 3)) into 3 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 3 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 1) (* 0 0))) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 3 (pow v 2)) into (* 3 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 v) 3) (/ 1 v)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) 3) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) 3) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) 3) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) 3) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 3) into 3 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 3 (pow (/ 1 (/ 1 v)) 2)) into (* 3 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 (- v)) 3) (/ 1 (- v))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) 3) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) 3) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) 3) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) 3) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 3) into -3 * [misc]backup-simplify: Simplify (* -3 -1) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 3 (pow (/ 1 (/ 1 (- v))) 2)) into (* 3 (pow v 2)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- (* 1 1) (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (469 enodes) * [exit]simplify: Simplified to (* (- t (* (* v t) (pow v 3))) (sqrt (- 2 (* (* v 3) (* 2 v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v t) (* (/ (/ (- 1 (* (* v v) 5)) PI) (pow (* (- t (* (* v t) (pow v 3))) (sqrt (- 2 (* (* v 3) (* 2 v))))) 1)) (+ 1 (* v v)))) * * * * [misc]progress: [ 2 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (* 2 (- 1 (* (* v 3) v))))) (log (* t (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (258 enodes) * * [misc]simplify: iters left: 1 (319 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (- 2 (* (* 2 v) (* v 3))))) (log (- t (* (* v t) (pow v 3))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v t) (* (/ (/ (- 1 (* (* v v) 5)) PI) (exp (+ (log (sqrt (- 2 (* (* 2 v) (* v 3))))) (log (- t (* (* v t) (pow v 3))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 4 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (sqrt (* 2 (- 1 (* (* v 3) v))))) (sqrt (* 2 (- 1 (* (* v 3) v))))) (* (* (* t (- (* 1 1) (* (* v v) (* v v)))) (* t (- (* 1 1) (* (* v v) (* v v))))) (* t (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (151 enodes) * [exit]simplify: Simplified to (* (* (* t (- 1 (* (* v v) (* v v)))) (* 2 (- 1 (* (* v 3) v)))) (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* (* t (- 1 (* (* v v) (* v v)))) (* t (- 1 (* (* v v) (* v v))))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v t) (* (/ (/ (- 1 (* (* v v) 5)) PI) (cbrt (* (* (* t (- 1 (* (* v v) (* v v)))) (* 2 (- 1 (* (* v 3) v)))) (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* (* t (- 1 (* (* v v) (* v v)))) (* t (- 1 (* (* v v) (* v v))))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 7 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3)))) (* t (- (pow (* 1 1) 3) (pow (* (* v v) (* v v)) 3)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * [exit]simplify: Simplified to (* (* t (- 1 (pow (pow v 3) (+ 3 1)))) (sqrt (+ (* (* (* v (* v 3)) (* v (* v 3))) (* (* (- v) (* v 3)) 2)) 2))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v t) (* (/ (/ (- 1 (* (* v v) 5)) PI) (/ (* (* t (- 1 (pow (pow v 3) (+ 3 1)))) (sqrt (+ (* (* (* v (* v 3)) (* v (* v 3))) (* (* (- v) (* v 3)) 2)) 2))) (* (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* v v) (* v v)) (* (* v v) (* v v))) (* (* 1 1) (* (* v v) (* v v)))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (* (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* v v) (* v v)) (* (* v v) (* v v))) (* (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* v v) (* v v)) (* (* v v) (* v v))) (+ (* (* v v) (* v v)) 1)) (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v t) (* (/ (/ (- 1 (* (* v v) 5)) PI) (/ (* (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3)))) (* t (- (pow (* 1 1) 3) (pow (* (* v v) (* v v)) 3)))) (* (+ (* (* (* v v) (* v v)) (* (* v v) (* v v))) (+ (* (* v v) (* v v)) 1)) (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 11 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3)))) (* t (- (* (* 1 1) (* 1 1)) (* (* (* v v) (* v v)) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (450 enodes) * [exit]simplify: Simplified to (* (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* v 3) 3)))) (* t (- 1 (pow (* v v) (+ 1 3))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v t) (* (/ (/ (- 1 (* (* v v) 5)) PI) (/ (* (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* v 3) 3)))) (* t (- 1 (pow (* v v) (+ 1 3))))) (* (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))) (+ (* 1 1) (* (* v v) (* v v)))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (* (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))) (+ (* 1 1) (* (* v v) (* v v)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (281 enodes) * * [misc]simplify: iters left: 2 (453 enodes) * [exit]simplify: Simplified to (* (+ (* (* v v) (* v v)) 1) (sqrt (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v t) (* (/ (/ (- 1 (* (* v v) 5)) PI) (/ (* (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* v 3) 3)))) (* t (- 1 (pow (* v v) (+ 1 3))))) (* (+ (* (* v v) (* v v)) 1) (sqrt (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 12 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v))))) (* t (- (pow (* 1 1) 3) (pow (* (* v v) (* v v)) 3)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (437 enodes) * [exit]simplify: Simplified to (* (- t (* (* t (pow v 3)) (pow (pow v 3) 3))) (sqrt (- 2 (* (* 3 (* v v)) (* (* 2 3) (* v v)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v t) (* (/ (/ (- 1 (* (* v v) 5)) PI) (/ (* (- t (* (* t (pow v 3)) (pow (pow v 3) 3))) (sqrt (- 2 (* (* 3 (* v v)) (* (* 2 3) (* v v)))))) (* (sqrt (+ 1 (* (* v 3) v))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* v v) (* v v)) (* (* v v) (* v v))) (* (* 1 1) (* (* v v) (* v v)))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (* (sqrt (+ 1 (* (* v 3) v))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* v v) (* v v)) (* (* v v) (* v v))) (* (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * * [misc]simplify: iters left: 3 (401 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 (* (* 3 v) v))) (+ (+ (* (* v v) (* v v)) 1) (pow (* v v) (+ 1 3)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v t) (* (/ (/ (- 1 (* (* v v) 5)) PI) (/ (* (- t (* (* t (pow v 3)) (pow (pow v 3) 3))) (sqrt (- 2 (* (* 3 (* v v)) (* (* 2 3) (* v v)))))) (* (sqrt (+ 1 (* (* 3 v) v))) (+ (+ (* (* v v) (* v v)) 1) (pow (* v v) (+ 1 3)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 13 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v))))) (* t (- (* (* 1 1) (* 1 1)) (* (* (* v v) (* v v)) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (351 enodes) * [exit]simplify: Simplified to (* (- t (* (* t (* v v)) (pow (* v v) 3))) (sqrt (- 2 (* (* 3 (* v v)) (* (* 2 3) (* v v)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v t) (* (/ (/ (- 1 (* (* v v) 5)) PI) (/ (* (- t (* (* t (* v v)) (pow (* v v) 3))) (sqrt (- 2 (* (* 3 (* v v)) (* (* 2 3) (* v v)))))) (* (sqrt (+ 1 (* (* v 3) v))) (+ (* 1 1) (* (* v v) (* v v)))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (* (sqrt (+ 1 (* (* v 3) v))) (+ (* 1 1) (* (* v v) (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * * [misc]simplify: iters left: 1 (213 enodes) * [exit]simplify: Simplified to (* (+ 1 (* (* v v) (* v v))) (sqrt (+ 1 (* (* 3 v) v)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v t) (* (/ (/ (- 1 (* (* v v) 5)) PI) (/ (* (- t (* (* t (* v v)) (pow (* v v) 3))) (sqrt (- 2 (* (* 3 (* v v)) (* (* 2 3) (* v v)))))) (* (+ 1 (* (* v v) (* v v))) (sqrt (+ 1 (* (* 3 v) v)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 14 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (251 enodes) * [exit]simplify: Simplified to (* (* (* v v) (* (- t) (* v v))) (sqrt (- 2 (* (* v v) (* 3 2))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v t) (* (/ (/ (- 1 (* (* v v) 5)) PI) (+ (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (* 1 1))) (* (* (* v v) (* (- t) (* v v))) (sqrt (- 2 (* (* v v) (* 3 2))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 16 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (251 enodes) * [exit]simplify: Simplified to (* (* (* v v) (* (- t) (* v v))) (sqrt (- 2 (* (* v v) (* 3 2))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v t) (* (/ (/ (- 1 (* (* v v) 5)) PI) (+ (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (* 1 1))) (* (* (* v v) (* (- t) (* v v))) (sqrt (- 2 (* (* v v) (* 3 2))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 17 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* (- (* (* v v) (* v v))) t)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (246 enodes) * * [misc]simplify: iters left: 2 (488 enodes) * [exit]simplify: Simplified to (* (* (- t) (* (* v v) (* v v))) (sqrt (- 2 (* (* 2 v) (* v 3))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v t) (* (/ (/ (- 1 (* (* v v) 5)) PI) (+ (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* (* 1 1) t)) (* (* (- t) (* (* v v) (* v v))) (sqrt (- 2 (* (* 2 v) (* v 3))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 18 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* (- (* (* v v) (* v v))) t)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (246 enodes) * * [misc]simplify: iters left: 2 (488 enodes) * [exit]simplify: Simplified to (* (* (- t) (* (* v v) (* v v))) (sqrt (- 2 (* (* 2 v) (* v 3))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v t) (* (/ (/ (- 1 (* (* v v) 5)) PI) (+ (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* (* 1 1) t)) (* (* (- t) (* (* v v) (* v v))) (sqrt (- 2 (* (* 2 v) (* v 3))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 19 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* t (- (* (* v v) (* v v)))) (sqrt (* 2 (- 1 (* (* v 3) v))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (251 enodes) * [exit]simplify: Simplified to (* (* (- t) (* (* v v) (* v v))) (sqrt (- 2 (* (* v v) (* 3 2))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v t) (* (/ (/ (- 1 (* (* v v) 5)) PI) (+ (* (* t (* 1 1)) (sqrt (* 2 (- 1 (* (* v 3) v))))) (* (* (- t) (* (* v v) (* v v))) (sqrt (- 2 (* (* v v) (* 3 2))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 20 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* t (- (* (* v v) (* v v)))) (sqrt (* 2 (- 1 (* (* v 3) v))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (251 enodes) * [exit]simplify: Simplified to (* (* (- t) (* (* v v) (* v v))) (sqrt (- 2 (* (* v v) (* 3 2))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v t) (* (/ (/ (- 1 (* (* v v) 5)) PI) (+ (* (* t (* 1 1)) (sqrt (* 2 (- 1 (* (* v 3) v))))) (* (* (- t) (* (* v v) (* v v))) (sqrt (- 2 (* (* v v) (* 3 2))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 21 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (* (* v v) (* v v))) t) (sqrt (* 2 (- 1 (* (* v 3) v))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (239 enodes) * [exit]simplify: Simplified to (* (* (* (* v v) (* v v)) (- t)) (sqrt (- 2 (* (* 2 3) (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v t) (* (/ (/ (- 1 (* (* v v) 5)) PI) (+ (* (* (* 1 1) t) (sqrt (* 2 (- 1 (* (* v 3) v))))) (* (* (* (* v v) (* v v)) (- t)) (sqrt (- 2 (* (* 2 3) (* v v))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 22 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (* (* v v) (* v v))) t) (sqrt (* 2 (- 1 (* (* v 3) v))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (239 enodes) * [exit]simplify: Simplified to (* (* (* (* v v) (* v v)) (- t)) (sqrt (- 2 (* (* 2 3) (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v t) (* (/ (/ (- 1 (* (* v v) 5)) PI) (+ (* (* (* 1 1) t) (sqrt (* 2 (- 1 (* (* v 3) v))))) (* (* (* (* v v) (* v v)) (- t)) (sqrt (- 2 (* (* 2 3) (* v v))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 23 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1 1) (* (* v v) (* v v))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * [exit]simplify: Simplified to (- 1 (* (* v v) (* v v))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v t) (* (/ (/ (- 1 (* (* v v) 5)) PI) (* (* (sqrt (* 2 (- 1 (* (* v 3) v)))) t) (- 1 (* (* v v) (* v v))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 24 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))) (cbrt (sqrt (- 2 (* (* 3 2) (* v v)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v t) (* (/ (/ (- 1 (* (* v v) 5)) PI) (* (* (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))) (cbrt (sqrt (- 2 (* (* 3 2) (* v v)))))) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (* t (- (* 1 1) (* (* v v) (* v v))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 25 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 2) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 2) * [misc]simplify: Simplified (2 1 2 1) to (λ (v t) (* (/ (/ (- 1 (* (* v v) 5)) PI) (* (sqrt 2) (* (sqrt (- 1 (* (* v 3) v))) (* t (- (* 1 1) (* (* v v) (* v v))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 26 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (178 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v t) (* (/ (/ (- 1 (* (* v v) 5)) PI) (* (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))) (* (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (* t (- (* 1 1) (* (* v v) (* v v))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 27 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* 1 1) (* 1 1)) (+ (* (* (* v v) (* v v)) (* (* v v) (* v v))) (* (* 1 1) (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * * [misc]simplify: iters left: 1 (224 enodes) * [exit]simplify: Simplified to (+ 1 (+ (* (* v v) (* v v)) (pow (* v v) (+ 3 1)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v t) (* (/ (/ (- 1 (* (* v v) 5)) PI) (/ (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- (pow (* 1 1) 3) (pow (* (* v v) (* v v)) 3)))) (+ 1 (+ (* (* v v) (* v v)) (pow (* v v) (+ 3 1)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 29 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 1) (* (* v v) (* v v))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (+ (* (* v v) (* v v)) 1) * [misc]simplify: Simplified (2 1 2 2) to (λ (v t) (* (/ (/ (- 1 (* (* v v) 5)) PI) (/ (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- (* (* 1 1) (* 1 1)) (* (* (* v v) (* v v)) (* (* v v) (* v v)))))) (+ (* (* v v) (* v v)) 1))) (+ 1 (* v v)))) * * * * [misc]progress: [ 30 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3)))) (* t (- (* 1 1) (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (386 enodes) * [exit]simplify: Simplified to (* (sqrt (- 2 (* (pow (* v 3) 3) (* (* v v) (* v 2))))) (- t (* (* t v) (pow v 3)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v t) (* (/ (/ (- 1 (* (* v v) 5)) PI) (/ (* (sqrt (- 2 (* (pow (* v 3) 3) (* (* v v) (* v 2))))) (- t (* (* t v) (pow v 3)))) (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 31 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v))))) (* t (- (* 1 1) (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (266 enodes) * [exit]simplify: Simplified to (* (sqrt (- 2 (* (* (* v v) (* v 3)) (* (* v 3) 2)))) (- t (* (* v t) (pow v 3)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v t) (* (/ (/ (- 1 (* (* v v) 5)) PI) (/ (* (sqrt (- 2 (* (* (* v v) (* v 3)) (* (* v 3) 2)))) (- t (* (* v t) (pow v 3)))) (sqrt (+ 1 (* (* v 3) v))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 32 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (- 1 (* (* v v) 5)) PI)) (+ (log (sqrt (* 2 (- 1 (* (* v 3) v))))) (log (* t (- (* 1 1) (* (* v v) (* v v))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (131 enodes) * * [misc]simplify: iters left: 3 (287 enodes) * [exit]simplify: Simplified to (- (- (log (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (log (- t (* (* t v) (pow v 3))))) (log (sqrt (- 2 (* (* v 2) (* 3 v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v t) (* (exp (- (- (log (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (log (- t (* (* t v) (pow v 3))))) (log (sqrt (- 2 (* (* v 2) (* 3 v))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 35 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (- 1 (* (* v v) 5)) PI)) (log (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- (* 1 1) (* (* v v) (* v v))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * * [misc]simplify: iters left: 3 (322 enodes) * [exit]simplify: Simplified to (- (- (log (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (log (- t (* (* t v) (pow v 3))))) (log (sqrt (- 2 (* (* v v) (* 3 2)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v t) (* (exp (- (- (log (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (log (- t (* (* t v) (pow v 3))))) (log (sqrt (- 2 (* (* v v) (* 3 2))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 36 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (- 1 (* (* v v) 5)) PI) (/ (- 1 (* (* v v) 5)) PI)) (/ (- 1 (* (* v v) 5)) PI)) (* (* (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (sqrt (* 2 (- 1 (* (* v 3) v))))) (sqrt (* 2 (- 1 (* (* v 3) v))))) (* (* (* t (- (* 1 1) (* (* v v) (* v v)))) (* t (- (* 1 1) (* (* v v) (* v v))))) (* t (- (* 1 1) (* (* v v) (* v v))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (303 enodes) * [exit]simplify: Simplified to (* (/ (/ (- (/ 1 PI) (* (/ 5 PI) (* v v))) (* t (- 1 (* (* v v) (* v v))))) (* (* t (- 1 (* (* v v) (* v v)))) (* t (- 1 (* (* v v) (* v v)))))) (/ (* (/ (- (/ 1 PI) (* (/ 5 PI) (* v v))) 2) (/ (- (/ 1 PI) (* (/ 5 PI) (* v v))) (- 1 (* 3 (* v v))))) (sqrt (* (- 1 (* 3 (* v v))) 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (v t) (* (cbrt (* (/ (/ (- (/ 1 PI) (* (/ 5 PI) (* v v))) (* t (- 1 (* (* v v) (* v v))))) (* (* t (- 1 (* (* v v) (* v v)))) (* t (- 1 (* (* v v) (* v v)))))) (/ (* (/ (- (/ 1 PI) (* (/ 5 PI) (* v v))) 2) (/ (- (/ 1 PI) (* (/ 5 PI) (* v v))) (- 1 (* 3 (* v v))))) (sqrt (* (- 1 (* 3 (* v v))) 2))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 39 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (- 1 (* (* v v) 5)) PI) (/ (- 1 (* (* v v) 5)) PI)) (/ (- 1 (* (* v v) 5)) PI)) (* (* (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- (* 1 1) (* (* v v) (* v v))))) (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- (* 1 1) (* (* v v) (* v v)))))) (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- (* 1 1) (* (* v v) (* v v))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (273 enodes) * [exit]simplify: Simplified to (/ (* (/ (* (- (/ 1 PI) (* (/ 5 PI) (* v v))) (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (* (- 1 (* (* v v) (* v v))) t)) (/ (- (/ 1 PI) (* (/ 5 PI) (* v v))) (* (- 1 (* 3 (* v v))) 2))) (* (* (* (- 1 (* (* v v) (* v v))) t) (* (- 1 (* (* v v) (* v v))) t)) (sqrt (* (- 1 (* 3 (* v v))) 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (v t) (* (cbrt (/ (* (/ (* (- (/ 1 PI) (* (/ 5 PI) (* v v))) (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (* (- 1 (* (* v v) (* v v))) t)) (/ (- (/ 1 PI) (* (/ 5 PI) (* v v))) (* (- 1 (* 3 (* v v))) 2))) (* (* (* (- 1 (* (* v v) (* v v))) t) (* (- 1 (* (* v v) (* v v))) t)) (sqrt (* (- 1 (* 3 (* v v))) 2))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 40 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 PI) (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (257 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ 1 PI) t) (- 1 (* (* v v) (* v v)))) (sqrt (- 2 (* (* 2 v) (* v 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (v t) (* (- (/ (/ (/ (/ 1 PI) t) (- 1 (* (* v v) (* v v)))) (sqrt (- 2 (* (* 2 v) (* v 3))))) (/ (/ (* (* v v) 5) PI) (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- (* 1 1) (* (* v v) (* v v))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 45 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (* 2 (- 1 (* (* v 3) v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: iters left: 1 (319 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (sqrt (- 2 (* (* 2 v) (* 3 v))))) (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) * [misc]simplify: Simplified (2 1 1) to (λ (v t) (* (* (* (/ (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (sqrt (- 2 (* (* 2 v) (* 3 v))))) (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (/ (cbrt (/ (- 1 (* (* v v) 5)) PI)) (* t (- (* 1 1) (* (* v v) (* v v)))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (cbrt (/ (- 1 (* (* v v) 5)) PI)) (* t (- (* 1 1) (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * * [misc]simplify: iters left: 1 (305 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (- t (* (* v t) (pow v 3)))) * [misc]simplify: Simplified (2 1 2) to (λ (v t) (* (* (/ (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (* 2 (- 1 (* (* v 3) v))))) (/ (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (- t (* (* v t) (pow v 3))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 46 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (* 2 (- 1 (* (* v 3) v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (227 enodes) * * [misc]simplify: iters left: 1 (316 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (sqrt (- 2 (* (* v 2) (* 3 v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v t) (* (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (sqrt (- 2 (* (* v 2) (* 3 v))))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* t (- (* 1 1) (* (* v v) (* v v)))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* t (- (* 1 1) (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * * [misc]simplify: iters left: 1 (305 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (- t (* (* v t) (pow v 3)))) * [misc]simplify: Simplified (2 1 2) to (λ (v t) (* (* (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (* 2 (- 1 (* (* v 3) v))))) (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (- t (* (* v t) (pow v 3))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 47 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (* 2 (- 1 (* (* v 3) v))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (174 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- 2 (* (* v v) (* 3 2))))) * [misc]simplify: Simplified (2 1 1) to (λ (v t) (* (* (/ 1 (sqrt (- 2 (* (* v v) (* 3 2))))) (/ (/ (- 1 (* (* v v) 5)) PI) (* t (- (* 1 1) (* (* v v) (* v v)))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (/ (- 1 (* (* v v) 5)) PI) (* t (- (* 1 1) (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (251 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 PI) (/ (* 5 v) (/ PI v))) (- t (* (pow v 3) (* t v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v t) (* (* (/ 1 (sqrt (* 2 (- 1 (* (* v 3) v))))) (/ (- (/ 1 PI) (/ (* 5 v) (/ PI v))) (- t (* (pow v 3) (* t v))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 48 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 (* (* v v) 5)) (sqrt (* 2 (- 1 (* (* v 3) v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (222 enodes) * * [misc]simplify: iters left: 1 (311 enodes) * [exit]simplify: Simplified to (/ (- 1 (* (* v v) 5)) (sqrt (- 2 (* (* 3 2) (* v v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v t) (* (* (/ (- 1 (* (* v v) 5)) (sqrt (- 2 (* (* 3 2) (* v v))))) (/ (/ 1 PI) (* t (- (* 1 1) (* (* v v) (* v v)))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (/ 1 PI) (* t (- (* 1 1) (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (209 enodes) * * [misc]simplify: iters left: 1 (371 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) t) (- 1 (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v t) (* (* (/ (- 1 (* (* v v) 5)) (sqrt (* 2 (- 1 (* (* v 3) v))))) (/ (/ (/ 1 PI) t) (- 1 (* (* v v) (* v v))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 49 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* t (- (* 1 1) (* (* v v) (* v v)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (- t (* (pow v 3) (* v t))) * [misc]simplify: Simplified (2 1 2) to (λ (v t) (* (/ (/ (/ (- 1 (* (* v v) 5)) PI) (sqrt (* 2 (- 1 (* (* v 3) v))))) (- t (* (pow v 3) (* v t)))) (+ 1 (* v v)))) * * * * [misc]progress: [ 53 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v t) (* (/ (* (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (/ (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- (* 1 1) (* (* v v) (* v v))))) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (+ 1 (* v v)))) * * * * [misc]progress: [ 54 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 (* (* v v) 5)) PI)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v t) (* (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (/ (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- (* 1 1) (* (* v v) (* v v))))) (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (+ 1 (* v v)))) * * * * [misc]progress: [ 55 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (* (* v v) 5)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (- 1 (* (* v v) 5)) * [misc]simplify: Simplified (2 1 1) to (λ (v t) (* (/ (- 1 (* (* v v) 5)) (/ (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- (* 1 1) (* (* v v) (* v v))))) (/ 1 PI))) (+ 1 (* v v)))) * * * * [misc]progress: [ 57 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* v v) (* v v)) (* (* v v) (* v v))) (* (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* v v) (* v v)) (* (* v v) (* v v))) (+ (* (* v v) (* v v)) 1)) (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v t) (* (* (/ (/ (- 1 (* (* v v) 5)) PI) (* (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3)))) (* t (- (pow (* 1 1) 3) (pow (* (* v v) (* v v)) 3))))) (* (+ (* (* (* v v) (* v v)) (* (* v v) (* v v))) (+ (* (* v v) (* v v)) 1)) (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 58 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))) (+ (* 1 1) (* (* v v) (* v v)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (281 enodes) * * [misc]simplify: iters left: 2 (453 enodes) * [exit]simplify: Simplified to (* (+ (* (* v v) (* v v)) 1) (sqrt (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3))))) * [misc]simplify: Simplified (2 1 2) to (λ (v t) (* (* (/ (/ (- 1 (* (* v v) 5)) PI) (* (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3)))) (* t (- (* (* 1 1) (* 1 1)) (* (* (* v v) (* v v)) (* (* v v) (* v v))))))) (* (+ (* (* v v) (* v v)) 1) (sqrt (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 59 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ 1 (* (* v 3) v))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* v v) (* v v)) (* (* v v) (* v v))) (* (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * * [misc]simplify: iters left: 3 (401 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 (* (* 3 v) v))) (+ (+ (* (* v v) (* v v)) 1) (pow (* v v) (+ 1 3)))) * [misc]simplify: Simplified (2 1 2) to (λ (v t) (* (* (/ (/ (- 1 (* (* v v) 5)) PI) (* (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v))))) (* t (- (pow (* 1 1) 3) (pow (* (* v v) (* v v)) 3))))) (* (sqrt (+ 1 (* (* 3 v) v))) (+ (+ (* (* v v) (* v v)) 1) (pow (* v v) (+ 1 3))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 60 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ 1 (* (* v 3) v))) (+ (* 1 1) (* (* v v) (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * * [misc]simplify: iters left: 1 (213 enodes) * [exit]simplify: Simplified to (* (+ 1 (* (* v v) (* v v))) (sqrt (+ 1 (* (* 3 v) v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v t) (* (* (/ (/ (- 1 (* (* v v) 5)) PI) (* (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v))))) (* t (- (* (* 1 1) (* 1 1)) (* (* (* v v) (* v v)) (* (* v v) (* v v))))))) (* (+ 1 (* (* v v) (* v v))) (sqrt (+ 1 (* (* 3 v) v))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 61 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* 1 1) (* 1 1)) (+ (* (* (* v v) (* v v)) (* (* v v) (* v v))) (* (* 1 1) (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * * [misc]simplify: iters left: 1 (224 enodes) * [exit]simplify: Simplified to (+ 1 (+ (* (* v v) (* v v)) (pow (* v v) (+ 3 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (v t) (* (* (/ (/ (- 1 (* (* v v) 5)) PI) (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- (pow (* 1 1) 3) (pow (* (* v v) (* v v)) 3))))) (+ 1 (+ (* (* v v) (* v v)) (pow (* v v) (+ 3 1))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 62 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 1) (* (* v v) (* v v))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (+ (* (* v v) (* v v)) 1) * [misc]simplify: Simplified (2 1 2) to (λ (v t) (* (* (/ (/ (- 1 (* (* v v) 5)) PI) (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- (* (* 1 1) (* 1 1)) (* (* (* v v) (* v v)) (* (* v v) (* v v))))))) (+ (* (* v v) (* v v)) 1)) (+ 1 (* v v)))) * * * * [misc]progress: [ 63 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (321 enodes) * * [misc]simplify: iters left: 1 (418 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v t) (* (* (/ (/ (- 1 (* (* v v) 5)) PI) (* (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3)))) (* t (- (* 1 1) (* (* v v) (* v v)))))) (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 64 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (* (* v 3) v))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (* (* 3 v) v))) * [misc]simplify: Simplified (2 1 2) to (λ (v t) (* (* (/ (/ (- 1 (* (* v v) 5)) PI) (* (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v))))) (* t (- (* 1 1) (* (* v v) (* v v)))))) (sqrt (+ 1 (* (* 3 v) v)))) (+ 1 (* v v)))) * * * * [misc]progress: [ 65 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (* (* v v) 5)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (- 1 (* (* v v) 5)) * [misc]simplify: Simplified (2 1 1) to (λ (v t) (* (/ (- 1 (* (* v v) 5)) (* (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- (* 1 1) (* (* v v) (* v v))))) PI)) (+ 1 (* v v)))) * * * * [misc]progress: [ 66 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 84 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* t (sqrt 2)) (* 3 (/ (* t (pow v 2)) (sqrt 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (281 enodes) * [exit]simplify: Simplified to (- (* t (sqrt 2)) (* (* v (* 3 v)) (/ t (sqrt 2)))) * [misc]simplify: Simplified (2 1 2) to (λ (v t) (* (/ (/ (- 1 (* (* v v) 5)) PI) (- (* t (sqrt 2)) (* (* v (* 3 v)) (/ t (sqrt 2))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 85 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (/ (* t v) (pow (sqrt -6) 3))) (* t (* v (sqrt -6)))) (+ (/ (* t (pow v 3)) (sqrt -6)) (* t (* (pow v 5) (sqrt -6))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * * [misc]simplify: iters left: 3 (340 enodes) * [exit]simplify: Simplified to (- (* (* v t) (+ (/ (/ 1/2 -6) (sqrt -6)) (sqrt -6))) (+ (* t (* (sqrt -6) (pow v 5))) (* (/ v (sqrt -6)) (* v (* v t))))) * [misc]simplify: Simplified (2 1 2) to (λ (v t) (* (/ (/ (- 1 (* (* v v) 5)) PI) (- (* (* v t) (+ (/ (/ 1/2 -6) (sqrt -6)) (sqrt -6))) (+ (* t (* (sqrt -6) (pow v 5))) (* (/ v (sqrt -6)) (* v (* v t)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 86 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ (* t (pow v 3)) (sqrt -6)) (* t (* (pow v 5) (sqrt -6)))) (+ (* 1/2 (/ (* t v) (pow (sqrt -6) 3))) (* t (* v (sqrt -6))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * * [misc]simplify: iters left: 3 (359 enodes) * [exit]simplify: Simplified to (- (+ (* t (* (pow v 5) (sqrt -6))) (/ (* t v) (/ (sqrt -6) (* v v)))) (* (* t v) (+ (sqrt -6) (/ (/ 1/2 -6) (sqrt -6))))) * [misc]simplify: Simplified (2 1 2) to (λ (v t) (* (/ (/ (- 1 (* (* v v) 5)) PI) (- (+ (* t (* (pow v 5) (sqrt -6))) (/ (* t v) (/ (sqrt -6) (* v v)))) (* (* t v) (+ (sqrt -6) (/ (/ 1/2 -6) (sqrt -6)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 87 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ (pow v 4) (* t (* (sqrt 2) PI))) (+ (/ 1 (* t (* (sqrt 2) PI))) (+ (* 3 (/ (pow v 2) (* t (* (pow (sqrt 2) 3) PI)))) (* 27/2 (/ (pow v 4) (* t (* (pow (sqrt 2) 5) PI))))))) (+ (* 5 (/ (pow v 2) (* t (* (sqrt 2) PI)))) (* 15 (/ (pow v 4) (* t (* (pow (sqrt 2) 3) PI)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (275 enodes) * [exit]simplify: Simplified to (+ (- (- (/ (pow v 4) (* (* t PI) (sqrt 2))) (* (/ (/ 5 PI) (sqrt 2)) (* (/ v t) v))) (/ (/ (pow v 4) (/ t 15)) (* (sqrt 2) (* PI 2)))) (+ (/ (/ (/ (pow v 4) (/ t 27/2)) PI) (pow (sqrt 2) 5)) (+ (/ (/ 1 t) (* (sqrt 2) PI)) (/ (* (/ 3 t) (* v v)) (* (sqrt 2) (* PI 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (+ (- (- (/ (pow v 4) (* (* t PI) (sqrt 2))) (* (/ (/ 5 PI) (sqrt 2)) (* (/ v t) v))) (/ (/ (pow v 4) (/ t 15)) (* (sqrt 2) (* PI 2)))) (+ (/ (/ (/ (pow v 4) (/ t 27/2)) PI) (pow (sqrt 2) 5)) (+ (/ (/ 1 t) (* (sqrt 2) PI)) (/ (* (/ 3 t) (* v v)) (* (sqrt 2) (* PI 2)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 88 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 5 (/ 1 (* t (* (pow v 3) (* (sqrt -6) PI))))) (+ (* 5 (/ 1 (* t (* (pow v 5) (* (pow (sqrt -6) 3) PI))))) (/ 1 (* t (* (pow v 5) (* (sqrt -6) PI)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * [exit]simplify: Simplified to (- (* (/ 5 t) (- (/ (/ 1 (* v v)) (* (* v PI) (sqrt -6))) (/ (/ 1 (pow v 5)) (* (sqrt -6) (* -6 PI))))) (/ 1 (* (* t (sqrt -6)) (* (pow v 5) PI)))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (- (* (/ 5 t) (- (/ (/ 1 (* v v)) (* (* v PI) (sqrt -6))) (/ (/ 1 (pow v 5)) (* (sqrt -6) (* -6 PI))))) (/ 1 (* (* t (sqrt -6)) (* (pow v 5) PI)))) (+ 1 (* v v)))) * * * * [misc]progress: [ 89 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 5 (/ 1 (* t (* (pow v 5) (* (pow (sqrt -6) 3) PI))))) (/ 1 (* t (* (pow v 5) (* (sqrt -6) PI))))) (* 5 (/ 1 (* t (* (pow v 3) (* (sqrt -6) PI)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * [exit]simplify: Simplified to (+ (/ 1 (* (* t PI) (* (sqrt -6) (pow v 5)))) (* (/ 5 t) (- (/ (/ 1 (pow v 5)) (* (sqrt -6) (* PI -6))) (/ (/ 1 (* v v)) (* (sqrt -6) (* PI v)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (+ (/ 1 (* (* t PI) (* (sqrt -6) (pow v 5)))) (* (/ 5 t) (- (/ (/ 1 (pow v 5)) (* (sqrt -6) (* PI -6))) (/ (/ 1 (* v v)) (* (sqrt -6) (* PI v)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 90 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* 5 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* v v) 5) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v t) (* (/ (/ (- 1 (* (* v v) 5)) PI) (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- (* 1 1) (* (* v v) (* v v)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 91 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* 5 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* v v) 5) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v t) (* (/ (/ (- 1 (* (* v v) 5)) PI) (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- (* 1 1) (* (* v v) (* v v)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 92 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* 5 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* v v) 5) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v t) (* (/ (/ (- 1 (* (* v v) 5)) PI) (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (* t (- (* 1 1) (* (* v v) (* v v)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 93 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* 3 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* v v) 3) * [misc]simplify: Simplified (2 1 2 1 1 2 2) to (λ (v t) (* (/ (/ (- 1 (* (* v v) 5)) PI) (* (sqrt (* 2 (- 1 (* (* v v) 3)))) (* t (- (* 1 1) (* (* v v) (* v v)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 94 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* 3 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* v v) 3) * [misc]simplify: Simplified (2 1 2 1 1 2 2) to (λ (v t) (* (/ (/ (- 1 (* (* v v) 5)) PI) (* (sqrt (* 2 (- 1 (* (* v v) 3)))) (* t (- (* 1 1) (* (* v v) (* v v)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 95 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* 3 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* v v) 3) * [misc]simplify: Simplified (2 1 2 1 1 2 2) to (λ (v t) (* (/ (/ (- 1 (* (* v v) 5)) PI) (* (sqrt (* 2 (- 1 (* (* v v) 3)))) (* t (- (* 1 1) (* (* v v) (* v v)))))) (+ 1 (* v v)))) * * * [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) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 1 1 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2 2 1 1 2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) in (v t) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) in t * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) in t * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (* (* v v) 5)) PI)) in t * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (* v v) 5)) PI) in t * [misc]taylor: Taking taylor expansion of (- 1 (* (* v v) 5)) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* v v) 5) in t * [misc]taylor: Taking taylor expansion of (* v v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]taylor: Taking taylor expansion of 5 in t * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* v v) into (pow v 2) * [misc]backup-simplify: Simplify (* (pow v 2) 5) into (* 5 (pow v 2)) * [misc]backup-simplify: Simplify (- (* 5 (pow v 2))) into (- (* 5 (pow v 2))) * [misc]backup-simplify: Simplify (+ 1 (- (* 5 (pow v 2)))) into (- 1 (* 5 (pow v 2))) * [misc]backup-simplify: Simplify (/ (- 1 (* 5 (pow v 2))) PI) into (/ (- 1 (* 5 (pow v 2))) PI) * [misc]backup-simplify: Simplify (sqrt (/ (- 1 (* 5 (pow v 2))) PI)) into (sqrt (/ (- 1 (* 5 (pow v 2))) PI)) * [misc]backup-simplify: Simplify (+ (* v 0) (* 0 v)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow v 2) 0) (* 0 5)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (- 1 (* 5 (pow v 2))) PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (- 1 (* 5 (pow v 2))) PI)))) into 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) in t * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) in t * [misc]taylor: Rewrote expression to (pow (sqrt (* 2 (- 1 (* (* v 3) v)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (* 2 (- 1 (* (* v 3) v))))))) in t * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (* 2 (- 1 (* (* v 3) v)))))) in t * [misc]taylor: Taking taylor expansion of 1/3 in t * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (* 2 (- 1 (* (* v 3) v))))) in t * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* v 3) v)))) in t * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* v 3) v))) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* v 3) v)) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* v 3) v) in t * [misc]taylor: Taking taylor expansion of (* v 3) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]taylor: Taking taylor expansion of 3 in t * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (* v 3) into (* 3 v) * [misc]backup-simplify: Simplify (* (* 3 v) v) into (* 3 (pow v 2)) * [misc]backup-simplify: Simplify (- (* 3 (pow v 2))) into (- (* 3 (pow v 2))) * [misc]backup-simplify: Simplify (+ 1 (- (* 3 (pow v 2)))) into (- 1 (* 3 (pow v 2))) * [misc]backup-simplify: Simplify (* 2 (- 1 (* 3 (pow v 2)))) into (* 2 (- 1 (* 3 (pow v 2)))) * [misc]backup-simplify: Simplify (sqrt (* 2 (- 1 (* 3 (pow v 2))))) into (* (sqrt (- 1 (* 3 (pow v 2)))) (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* v 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 v) 0) (* 0 v)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- 1 (* 3 (pow v 2))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 2 (- 1 (* 3 (pow v 2))))))) into 0 * [misc]backup-simplify: Simplify (log (* (sqrt (- 1 (* 3 (pow v 2)))) (sqrt 2))) into (log (* (sqrt (- 1 (* 3 (pow v 2)))) (sqrt 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (sqrt (- 1 (* 3 (pow v 2)))) (sqrt 2)))) into (* 1/3 (log (* (sqrt (- 1 (* 3 (pow v 2)))) (sqrt 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (sqrt (- 1 (* 3 (pow v 2)))) (sqrt 2))))) into (pow (* (sqrt (- 1 (* 3 (pow v 2)))) (sqrt 2)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) in t * [misc]taylor: Rewrote expression to (pow (sqrt (* 2 (- 1 (* (* v 3) v)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (* 2 (- 1 (* (* v 3) v))))))) in t * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (* 2 (- 1 (* (* v 3) v)))))) in t * [misc]taylor: Taking taylor expansion of 1/3 in t * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (* 2 (- 1 (* (* v 3) v))))) in t * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* v 3) v)))) in t * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* v 3) v))) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* v 3) v)) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* v 3) v) in t * [misc]taylor: Taking taylor expansion of (* v 3) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]taylor: Taking taylor expansion of 3 in t * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (* v 3) into (* 3 v) * [misc]backup-simplify: Simplify (* (* 3 v) v) into (* 3 (pow v 2)) * [misc]backup-simplify: Simplify (- (* 3 (pow v 2))) into (- (* 3 (pow v 2))) * [misc]backup-simplify: Simplify (+ 1 (- (* 3 (pow v 2)))) into (- 1 (* 3 (pow v 2))) * [misc]backup-simplify: Simplify (* 2 (- 1 (* 3 (pow v 2)))) into (* 2 (- 1 (* 3 (pow v 2)))) * [misc]backup-simplify: Simplify (sqrt (* 2 (- 1 (* 3 (pow v 2))))) into (* (sqrt (- 1 (* 3 (pow v 2)))) (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* v 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 v) 0) (* 0 v)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- 1 (* 3 (pow v 2))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 2 (- 1 (* 3 (pow v 2))))))) into 0 * [misc]backup-simplify: Simplify (log (* (sqrt (- 1 (* 3 (pow v 2)))) (sqrt 2))) into (log (* (sqrt (- 1 (* 3 (pow v 2)))) (sqrt 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (sqrt (- 1 (* 3 (pow v 2)))) (sqrt 2)))) into (* 1/3 (log (* (sqrt (- 1 (* 3 (pow v 2)))) (sqrt 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (sqrt (- 1 (* 3 (pow v 2)))) (sqrt 2))))) into (pow (* (sqrt (- 1 (* 3 (pow v 2)))) (sqrt 2)) 1/3) * [misc]backup-simplify: Simplify (* (pow (* (sqrt (- 1 (* 3 (pow v 2)))) (sqrt 2)) 1/3) (pow (* (sqrt (- 1 (* 3 (pow v 2)))) (sqrt 2)) 1/3)) into (pow (* (- 1 (* 3 (pow v 2))) (pow (sqrt 2) 2)) 1/3) * [misc]backup-simplify: Simplify (/ (sqrt (/ (- 1 (* 5 (pow v 2))) PI)) (pow (* (- 1 (* 3 (pow v 2))) (pow (sqrt 2) 2)) 1/3)) into (* (pow (/ 1 (* (- 1 (* 3 (pow v 2))) (pow (sqrt 2) 2))) 1/3) (sqrt (/ (- 1 (* 5 (pow v 2))) PI))) * [misc]taylor: Taking taylor expansion of (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) in t * [misc]taylor: Taking taylor expansion of (* t (- 1 (* v v))) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) in t * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (* (* v v) 5)) PI)) in t * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (* v v) 5)) PI) in t * [misc]taylor: Taking taylor expansion of (- 1 (* (* v v) 5)) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* v v) 5) in t * [misc]taylor: Taking taylor expansion of (* v v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]taylor: Taking taylor expansion of 5 in t * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* v v) into (pow v 2) * [misc]backup-simplify: Simplify (* (pow v 2) 5) into (* 5 (pow v 2)) * [misc]backup-simplify: Simplify (- (* 5 (pow v 2))) into (- (* 5 (pow v 2))) * [misc]backup-simplify: Simplify (+ 1 (- (* 5 (pow v 2)))) into (- 1 (* 5 (pow v 2))) * [misc]backup-simplify: Simplify (/ (- 1 (* 5 (pow v 2))) PI) into (/ (- 1 (* 5 (pow v 2))) PI) * [misc]backup-simplify: Simplify (sqrt (/ (- 1 (* 5 (pow v 2))) PI)) into (sqrt (/ (- 1 (* 5 (pow v 2))) PI)) * [misc]backup-simplify: Simplify (+ (* v 0) (* 0 v)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow v 2) 0) (* 0 5)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (- 1 (* 5 (pow v 2))) PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (- 1 (* 5 (pow v 2))) PI)))) into 0 * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) in t * [misc]taylor: Rewrote expression to (pow (sqrt (* 2 (- 1 (* (* v 3) v)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (* 2 (- 1 (* (* v 3) v))))))) in t * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (* 2 (- 1 (* (* v 3) v)))))) in t * [misc]taylor: Taking taylor expansion of 1/3 in t * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (* 2 (- 1 (* (* v 3) v))))) in t * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* v 3) v)))) in t * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* v 3) v))) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* v 3) v)) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* v 3) v) in t * [misc]taylor: Taking taylor expansion of (* v 3) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]taylor: Taking taylor expansion of 3 in t * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (* v 3) into (* 3 v) * [misc]backup-simplify: Simplify (* (* 3 v) v) into (* 3 (pow v 2)) * [misc]backup-simplify: Simplify (- (* 3 (pow v 2))) into (- (* 3 (pow v 2))) * [misc]backup-simplify: Simplify (+ 1 (- (* 3 (pow v 2)))) into (- 1 (* 3 (pow v 2))) * [misc]backup-simplify: Simplify (* 2 (- 1 (* 3 (pow v 2)))) into (* 2 (- 1 (* 3 (pow v 2)))) * [misc]backup-simplify: Simplify (sqrt (* 2 (- 1 (* 3 (pow v 2))))) into (* (sqrt (- 1 (* 3 (pow v 2)))) (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* v 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 v) 0) (* 0 v)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- 1 (* 3 (pow v 2))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 2 (- 1 (* 3 (pow v 2))))))) into 0 * [misc]backup-simplify: Simplify (log (* (sqrt (- 1 (* 3 (pow v 2)))) (sqrt 2))) into (log (* (sqrt (- 1 (* 3 (pow v 2)))) (sqrt 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (sqrt (- 1 (* 3 (pow v 2)))) (sqrt 2)))) into (* 1/3 (log (* (sqrt (- 1 (* 3 (pow v 2)))) (sqrt 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (sqrt (- 1 (* 3 (pow v 2)))) (sqrt 2))))) into (pow (* (sqrt (- 1 (* 3 (pow v 2)))) (sqrt 2)) 1/3) * [misc]backup-simplify: Simplify (/ (sqrt (/ (- 1 (* 5 (pow v 2))) PI)) (pow (* (sqrt (- 1 (* 3 (pow v 2)))) (sqrt 2)) 1/3)) into (* (pow (/ 1 (- 1 (* 3 (pow v 2)))) 1/6) (* (pow (/ 1 (sqrt 2)) 1/3) (sqrt (/ (- 1 (* 5 (pow v 2))) PI)))) * [misc]backup-simplify: Simplify (* v v) into (pow v 2) * [misc]backup-simplify: Simplify (- (pow v 2)) into (- (pow v 2)) * [misc]backup-simplify: Simplify (+ 1 (- (pow v 2))) into (- 1 (pow v 2)) * [misc]backup-simplify: Simplify (* 0 (- 1 (pow v 2))) into 0 * [misc]backup-simplify: Simplify (+ (* v 0) (* 0 v)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (- 1 (pow v 2)))) into (- 1 (pow v 2)) * [misc]backup-simplify: Simplify (/ (- 1 (pow v 2)) (* (pow (/ 1 (- 1 (* 3 (pow v 2)))) 1/6) (* (pow (/ 1 (sqrt 2)) 1/3) (sqrt (/ (- 1 (* 5 (pow v 2))) PI))))) into (* (pow (- 1 (* 3 (pow v 2))) 1/6) (* (pow (sqrt 2) 1/3) (* (- 1 (pow v 2)) (sqrt (/ PI (- 1 (* 5 (pow v 2)))))))) * [misc]backup-simplify: Simplify (/ (* (pow (/ 1 (* (- 1 (* 3 (pow v 2))) (pow (sqrt 2) 2))) 1/3) (sqrt (/ (- 1 (* 5 (pow v 2))) PI))) (* (pow (- 1 (* 3 (pow v 2))) 1/6) (* (pow (sqrt 2) 1/3) (* (- 1 (pow v 2)) (sqrt (/ PI (- 1 (* 5 (pow v 2))))))))) into (* (sqrt (/ 1 (- 1 (* 3 (pow v 2))))) (/ (- 1 (* 5 (pow v 2))) (* (sqrt 2) (* (- 1 (pow v 2)) PI)))) * [misc]taylor: Taking taylor expansion of (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (* (* v v) 5)) PI)) in v * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (* v v) 5)) PI) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (* v v) 5)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* v v) 5) in v * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 5) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (sqrt (/ 1 PI)) into (sqrt (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 5)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) in v * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) in v * [misc]taylor: Rewrote expression to (pow (sqrt (* 2 (- 1 (* (* v 3) v)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (* 2 (- 1 (* (* v 3) v))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (* 2 (- 1 (* (* v 3) v)))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (* 2 (- 1 (* (* v 3) v))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* v 3) v)))) in v * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* v 3) v))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* v 3) v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* v 3) v) in v * [misc]taylor: Taking taylor expansion of (* v 3) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 3) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 3)) into 3 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 3 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (log (sqrt 2)) into (log (sqrt 2)) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) in v * [misc]taylor: Rewrote expression to (pow (sqrt (* 2 (- 1 (* (* v 3) v)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (* 2 (- 1 (* (* v 3) v))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (* 2 (- 1 (* (* v 3) v)))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (* 2 (- 1 (* (* v 3) v))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* v 3) v)))) in v * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* v 3) v))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* v 3) v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* v 3) v) in v * [misc]taylor: Taking taylor expansion of (* v 3) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 3) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 3)) into 3 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 3 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (log (sqrt 2)) into (log (sqrt 2)) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3) * [misc]backup-simplify: Simplify (* (pow (sqrt 2) 1/3) (pow (sqrt 2) 1/3)) into (pow (pow (sqrt 2) 2) 1/3) * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 PI)) (pow (pow (sqrt 2) 2) 1/3)) into (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (sqrt (/ 1 PI))) * [misc]taylor: Taking taylor expansion of (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) in v * [misc]taylor: Taking taylor expansion of (* t (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of t in v * [misc]backup-simplify: Simplify t into t * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (* (* v v) 5)) PI)) in v * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (* v v) 5)) PI) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (* v v) 5)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* v v) 5) in v * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 5) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (sqrt (/ 1 PI)) into (sqrt (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 5)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) in v * [misc]taylor: Rewrote expression to (pow (sqrt (* 2 (- 1 (* (* v 3) v)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (* 2 (- 1 (* (* v 3) v))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (* 2 (- 1 (* (* v 3) v)))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (* 2 (- 1 (* (* v 3) v))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* v 3) v)))) in v * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* v 3) v))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* v 3) v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* v 3) v) in v * [misc]taylor: Taking taylor expansion of (* v 3) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 3) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 3)) into 3 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 3 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (log (sqrt 2)) into (log (sqrt 2)) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3) * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 PI)) (pow (sqrt 2) 1/3)) into (* (pow (/ 1 (sqrt 2)) 1/3) (sqrt (/ 1 PI))) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* t 1) into t * [misc]backup-simplify: Simplify (/ t (* (pow (/ 1 (sqrt 2)) 1/3) (sqrt (/ 1 PI)))) into (* t (* (pow (sqrt 2) 1/3) (sqrt PI))) * [misc]backup-simplify: Simplify (/ (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (sqrt (/ 1 PI))) (* t (* (pow (sqrt 2) 1/3) (sqrt PI)))) into (/ 1 (* t (* (sqrt 2) PI))) * [misc]taylor: Taking taylor expansion of (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (* (* v v) 5)) PI)) in v * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (* v v) 5)) PI) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (* v v) 5)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* v v) 5) in v * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 5) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (sqrt (/ 1 PI)) into (sqrt (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 5)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) in v * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) in v * [misc]taylor: Rewrote expression to (pow (sqrt (* 2 (- 1 (* (* v 3) v)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (* 2 (- 1 (* (* v 3) v))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (* 2 (- 1 (* (* v 3) v)))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (* 2 (- 1 (* (* v 3) v))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* v 3) v)))) in v * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* v 3) v))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* v 3) v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* v 3) v) in v * [misc]taylor: Taking taylor expansion of (* v 3) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 3) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 3)) into 3 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 3 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (log (sqrt 2)) into (log (sqrt 2)) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) in v * [misc]taylor: Rewrote expression to (pow (sqrt (* 2 (- 1 (* (* v 3) v)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (* 2 (- 1 (* (* v 3) v))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (* 2 (- 1 (* (* v 3) v)))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (* 2 (- 1 (* (* v 3) v))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* v 3) v)))) in v * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* v 3) v))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* v 3) v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* v 3) v) in v * [misc]taylor: Taking taylor expansion of (* v 3) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 3) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 3)) into 3 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 3 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (log (sqrt 2)) into (log (sqrt 2)) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3) * [misc]backup-simplify: Simplify (* (pow (sqrt 2) 1/3) (pow (sqrt 2) 1/3)) into (pow (pow (sqrt 2) 2) 1/3) * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 PI)) (pow (pow (sqrt 2) 2) 1/3)) into (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (sqrt (/ 1 PI))) * [misc]taylor: Taking taylor expansion of (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) in v * [misc]taylor: Taking taylor expansion of (* t (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of t in v * [misc]backup-simplify: Simplify t into t * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (* (* v v) 5)) PI)) in v * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (* v v) 5)) PI) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (* v v) 5)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* v v) 5) in v * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 5) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (sqrt (/ 1 PI)) into (sqrt (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 5)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) in v * [misc]taylor: Rewrote expression to (pow (sqrt (* 2 (- 1 (* (* v 3) v)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (* 2 (- 1 (* (* v 3) v))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (* 2 (- 1 (* (* v 3) v)))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (* 2 (- 1 (* (* v 3) v))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* v 3) v)))) in v * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* v 3) v))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* v 3) v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* v 3) v) in v * [misc]taylor: Taking taylor expansion of (* v 3) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 3) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 3)) into 3 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 3 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (log (sqrt 2)) into (log (sqrt 2)) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3) * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 PI)) (pow (sqrt 2) 1/3)) into (* (pow (/ 1 (sqrt 2)) 1/3) (sqrt (/ 1 PI))) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* t 1) into t * [misc]backup-simplify: Simplify (/ t (* (pow (/ 1 (sqrt 2)) 1/3) (sqrt (/ 1 PI)))) into (* t (* (pow (sqrt 2) 1/3) (sqrt PI))) * [misc]backup-simplify: Simplify (/ (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (sqrt (/ 1 PI))) (* t (* (pow (sqrt 2) 1/3) (sqrt PI)))) into (/ 1 (* t (* (sqrt 2) PI))) * [misc]taylor: Taking taylor expansion of (/ 1 (* t (* (sqrt 2) PI))) in t * [misc]taylor: Taking taylor expansion of (* t (* (sqrt 2) PI)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) PI) in t * [misc]taylor: Taking taylor expansion of (sqrt 2) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (sqrt 2) PI) into (* (sqrt 2) PI) * [misc]backup-simplify: Simplify (* 0 (* (sqrt 2) PI)) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* (sqrt 2) PI))) into (* (sqrt 2) PI) * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) PI)) into (/ 1 (* (sqrt 2) PI)) * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) PI)) into (/ 1 (* (sqrt 2) PI)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (sqrt 2) 1/3) 0) (* 0 (pow (sqrt 2) 1/3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (pow (sqrt 2) 2) 1/3)) (+ (* (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (sqrt (/ 1 PI))) (/ 0 (pow (pow (sqrt 2) 2) 1/3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* t 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (* (pow (/ 1 (sqrt 2)) 1/3) (sqrt (/ 1 PI))) (/ 0 (pow (sqrt 2) 1/3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (pow (/ 1 (sqrt 2)) 1/3) (sqrt (/ 1 PI)))) (+ (* (* t (* (pow (sqrt 2) 1/3) (sqrt PI))) (/ 0 (* (pow (/ 1 (sqrt 2)) 1/3) (sqrt (/ 1 PI))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* t (* (pow (sqrt 2) 1/3) (sqrt PI)))) (+ (* (/ 1 (* t (* (sqrt 2) PI))) (/ 0 (* t (* (pow (sqrt 2) 1/3) (sqrt PI))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* (sqrt 2) PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) PI)) (/ 0 (* (sqrt 2) PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 5))) into 5 * [misc]backup-simplify: Simplify (- 5) into -5 * [misc]backup-simplify: Simplify (+ 0 -5) into -5 * [misc]backup-simplify: Simplify (- (/ -5 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into (- (* 5 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (- (- (* 5 (/ 1 PI))) (pow 0 2) (+)) (* 2 (sqrt (/ 1 PI)))) into (* -5/2 (sqrt (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 1) (* 0 0))) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (+ (* 2 -3) (+ (* 0 0) (* 0 1))) into -6 * [misc]backup-simplify: Simplify (/ (- -6 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ -3 (sqrt 2)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 (/ -3 (sqrt 2))) 1)) (pow (sqrt 2) 1)))) 2) into (/ -3 (pow (sqrt 2) 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -3 (pow (sqrt 2) 2))) (+ (* 0 0) (* 0 (log (sqrt 2))))) into (- (/ 1 (pow (sqrt 2) 2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (/ 1 (pow (sqrt 2) 2))) 1) 1)))) into (* -1 (pow (/ 1 (pow (sqrt 2) 5)) 1/3)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 1) (* 0 0))) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (+ (* 2 -3) (+ (* 0 0) (* 0 1))) into -6 * [misc]backup-simplify: Simplify (/ (- -6 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ -3 (sqrt 2)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 (/ -3 (sqrt 2))) 1)) (pow (sqrt 2) 1)))) 2) into (/ -3 (pow (sqrt 2) 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -3 (pow (sqrt 2) 2))) (+ (* 0 0) (* 0 (log (sqrt 2))))) into (- (/ 1 (pow (sqrt 2) 2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (/ 1 (pow (sqrt 2) 2))) 1) 1)))) into (* -1 (pow (/ 1 (pow (sqrt 2) 5)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow (sqrt 2) 1/3) (* -1 (pow (/ 1 (pow (sqrt 2) 5)) 1/3))) (+ (* 0 0) (* (* -1 (pow (/ 1 (pow (sqrt 2) 5)) 1/3)) (pow (sqrt 2) 1/3)))) into (- (* 2 (pow (/ 1 (pow (sqrt 2) 4)) 1/3))) * [misc]backup-simplify: Simplify (- (/ (* -5/2 (sqrt (/ 1 PI))) (pow (pow (sqrt 2) 2) 1/3)) (+ (* (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (sqrt (/ 1 PI))) (/ (- (* 2 (pow (/ 1 (pow (sqrt 2) 4)) 1/3))) (pow (pow (sqrt 2) 2) 1/3))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/3))))) into (- (* 2 (* (pow (/ 1 (pow (sqrt 2) 8)) 1/3) (sqrt (/ 1 PI)))) (* 5/2 (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (sqrt (/ 1 PI))))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* t -1) (+ (* 0 0) (* 0 1))) into (- t) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 5))) into 5 * [misc]backup-simplify: Simplify (- 5) into -5 * [misc]backup-simplify: Simplify (+ 0 -5) into -5 * [misc]backup-simplify: Simplify (- (/ -5 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into (- (* 5 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (- (- (* 5 (/ 1 PI))) (pow 0 2) (+)) (* 2 (sqrt (/ 1 PI)))) into (* -5/2 (sqrt (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 1) (* 0 0))) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (+ (* 2 -3) (+ (* 0 0) (* 0 1))) into -6 * [misc]backup-simplify: Simplify (/ (- -6 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ -3 (sqrt 2)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 (/ -3 (sqrt 2))) 1)) (pow (sqrt 2) 1)))) 2) into (/ -3 (pow (sqrt 2) 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -3 (pow (sqrt 2) 2))) (+ (* 0 0) (* 0 (log (sqrt 2))))) into (- (/ 1 (pow (sqrt 2) 2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (/ 1 (pow (sqrt 2) 2))) 1) 1)))) into (* -1 (pow (/ 1 (pow (sqrt 2) 5)) 1/3)) * [misc]backup-simplify: Simplify (- (/ (* -5/2 (sqrt (/ 1 PI))) (pow (sqrt 2) 1/3)) (+ (* (* (pow (/ 1 (sqrt 2)) 1/3) (sqrt (/ 1 PI))) (/ (* -1 (pow (/ 1 (pow (sqrt 2) 5)) 1/3)) (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))))) into (- (* (pow (/ 1 (pow (sqrt 2) 7)) 1/3) (sqrt (/ 1 PI))) (* 5/2 (* (pow (/ 1 (sqrt 2)) 1/3) (sqrt (/ 1 PI))))) * [misc]backup-simplify: Simplify (- (/ (- t) (* (pow (/ 1 (sqrt 2)) 1/3) (sqrt (/ 1 PI)))) (+ (* (* t (* (pow (sqrt 2) 1/3) (sqrt PI))) (/ (- (* (pow (/ 1 (pow (sqrt 2) 7)) 1/3) (sqrt (/ 1 PI))) (* 5/2 (* (pow (/ 1 (sqrt 2)) 1/3) (sqrt (/ 1 PI))))) (* (pow (/ 1 (sqrt 2)) 1/3) (sqrt (/ 1 PI))))) (* 0 (/ 0 (* (pow (/ 1 (sqrt 2)) 1/3) (sqrt (/ 1 PI))))))) into (- (* 3/2 (* t (* (pow (sqrt 2) 1/3) (sqrt PI)))) (* t (* (pow (/ 1 (pow (sqrt 2) 5)) 1/3) (sqrt PI)))) * [misc]backup-simplify: Simplify (- (/ (- (* 2 (* (pow (/ 1 (pow (sqrt 2) 8)) 1/3) (sqrt (/ 1 PI)))) (* 5/2 (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (sqrt (/ 1 PI))))) (* t (* (pow (sqrt 2) 1/3) (sqrt PI)))) (+ (* (/ 1 (* t (* (sqrt 2) PI))) (/ (- (* 3/2 (* t (* (pow (sqrt 2) 1/3) (sqrt PI)))) (* t (* (pow (/ 1 (pow (sqrt 2) 5)) 1/3) (sqrt PI)))) (* t (* (pow (sqrt 2) 1/3) (sqrt PI))))) (* 0 (/ 0 (* t (* (pow (sqrt 2) 1/3) (sqrt PI))))))) into (- (* 3 (/ 1 (* t (* (pow (sqrt 2) 3) PI)))) (* 4 (/ 1 (* t (* (sqrt 2) PI))))) * [misc]taylor: Taking taylor expansion of (- (* 3 (/ 1 (* t (* (pow (sqrt 2) 3) PI)))) (* 4 (/ 1 (* t (* (sqrt 2) PI))))) in t * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (* t (* (pow (sqrt 2) 3) PI)))) in t * [misc]taylor: Taking taylor expansion of 3 in t * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (* t (* (pow (sqrt 2) 3) PI))) in t * [misc]taylor: Taking taylor expansion of (* t (* (pow (sqrt 2) 3) PI)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (sqrt 2) 3) PI) in t * [misc]taylor: Taking taylor expansion of (pow (sqrt 2) 3) in t * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqrt 2)))) in t * [misc]taylor: Taking taylor expansion of (* 3 (log (sqrt 2))) in t * [misc]taylor: Taking taylor expansion of 3 in t * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqrt 2)) in t * [misc]taylor: Taking taylor expansion of (sqrt 2) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (log (sqrt 2)) into (log (sqrt 2)) * [misc]backup-simplify: Simplify (* 3 (log (sqrt 2))) into (* 3 (log (sqrt 2))) * [misc]backup-simplify: Simplify (exp (* 3 (log (sqrt 2)))) into (pow (sqrt 2) 3) * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (pow (sqrt 2) 3) PI) into (* (pow (sqrt 2) 3) PI) * [misc]backup-simplify: Simplify (* 0 (* (pow (sqrt 2) 3) PI)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (sqrt 2) 3) 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* (pow (sqrt 2) 3) PI))) into (* (pow (sqrt 2) 3) PI) * [misc]backup-simplify: Simplify (/ 1 (* (pow (sqrt 2) 3) PI)) into (/ 1 (* (pow (sqrt 2) 3) PI)) * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* t (* (sqrt 2) PI)))) in t * [misc]taylor: Taking taylor expansion of 4 in t * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* t (* (sqrt 2) PI))) in t * [misc]taylor: Taking taylor expansion of (* t (* (sqrt 2) PI)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) PI) in t * [misc]taylor: Taking taylor expansion of (sqrt 2) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (sqrt 2) PI) into (* (sqrt 2) PI) * [misc]backup-simplify: Simplify (* 0 (* (sqrt 2) PI)) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* (sqrt 2) PI))) into (* (sqrt 2) PI) * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) PI)) into (/ 1 (* (sqrt 2) PI)) * [misc]backup-simplify: Simplify (* 3 (/ 1 (* (pow (sqrt 2) 3) PI))) into (/ 3 (* (pow (sqrt 2) 3) PI)) * [misc]backup-simplify: Simplify (* 4 (/ 1 (* (sqrt 2) PI))) into (/ 4 (* (sqrt 2) PI)) * [misc]backup-simplify: Simplify (- (/ 4 (* (sqrt 2) PI))) into (- (* 4 (/ 1 (* (sqrt 2) PI)))) * [misc]backup-simplify: Simplify (+ (/ 3 (* (pow (sqrt 2) 3) PI)) (- (* 4 (/ 1 (* (sqrt 2) PI))))) into (- (* 3 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4 (/ 1 (* (sqrt 2) PI)))) * [misc]backup-simplify: Simplify (- (* 3 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4 (/ 1 (* (sqrt 2) PI)))) into (- (* 3 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4 (/ 1 (* (sqrt 2) PI)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* (sqrt 2) PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) PI)) (/ 0 (* (sqrt 2) PI))) (* 0 (/ 0 (* (sqrt 2) PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 5)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* (- (* 5 (/ 1 PI))) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (* -5/2 (sqrt (/ 1 PI))))))) (* 2 (sqrt (/ 1 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 -3) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -3 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ -3 (sqrt 2))) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ -3 (pow (sqrt 2) 2))) (+ (* 0 0) (* 0 (log (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- (/ 1 (pow (sqrt 2) 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 -3) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -3 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ -3 (sqrt 2))) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ -3 (pow (sqrt 2) 2))) (+ (* 0 0) (* 0 (log (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- (/ 1 (pow (sqrt 2) 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (sqrt 2) 1/3) 0) (+ (* 0 (* -1 (pow (/ 1 (pow (sqrt 2) 5)) 1/3))) (+ (* (* -1 (pow (/ 1 (pow (sqrt 2) 5)) 1/3)) 0) (* 0 (pow (sqrt 2) 1/3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (pow (sqrt 2) 2) 1/3)) (+ (* (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (sqrt (/ 1 PI))) (/ 0 (pow (pow (sqrt 2) 2) 1/3))) (* 0 (/ (- (* 2 (pow (/ 1 (pow (sqrt 2) 4)) 1/3))) (pow (pow (sqrt 2) 2) 1/3))) (* (- (* 2 (* (pow (/ 1 (pow (sqrt 2) 8)) 1/3) (sqrt (/ 1 PI)))) (* 5/2 (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (sqrt (/ 1 PI))))) (/ 0 (pow (pow (sqrt 2) 2) 1/3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* t 0) (+ (* 0 -1) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 5)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* (- (* 5 (/ 1 PI))) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (* -5/2 (sqrt (/ 1 PI))))))) (* 2 (sqrt (/ 1 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 -3) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -3 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ -3 (sqrt 2))) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ -3 (pow (sqrt 2) 2))) (+ (* 0 0) (* 0 (log (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- (/ 1 (pow (sqrt 2) 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (* (pow (/ 1 (sqrt 2)) 1/3) (sqrt (/ 1 PI))) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ (* -1 (pow (/ 1 (pow (sqrt 2) 5)) 1/3)) (pow (sqrt 2) 1/3))) (* (- (* (pow (/ 1 (pow (sqrt 2) 7)) 1/3) (sqrt (/ 1 PI))) (* 5/2 (* (pow (/ 1 (sqrt 2)) 1/3) (sqrt (/ 1 PI))))) (/ 0 (pow (sqrt 2) 1/3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (pow (/ 1 (sqrt 2)) 1/3) (sqrt (/ 1 PI)))) (+ (* (* t (* (pow (sqrt 2) 1/3) (sqrt PI))) (/ 0 (* (pow (/ 1 (sqrt 2)) 1/3) (sqrt (/ 1 PI))))) (* 0 (/ (- (* (pow (/ 1 (pow (sqrt 2) 7)) 1/3) (sqrt (/ 1 PI))) (* 5/2 (* (pow (/ 1 (sqrt 2)) 1/3) (sqrt (/ 1 PI))))) (* (pow (/ 1 (sqrt 2)) 1/3) (sqrt (/ 1 PI))))) (* (- (* 3/2 (* t (* (pow (sqrt 2) 1/3) (sqrt PI)))) (* t (* (pow (/ 1 (pow (sqrt 2) 5)) 1/3) (sqrt PI)))) (/ 0 (* (pow (/ 1 (sqrt 2)) 1/3) (sqrt (/ 1 PI))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* t (* (pow (sqrt 2) 1/3) (sqrt PI)))) (+ (* (/ 1 (* t (* (sqrt 2) PI))) (/ 0 (* t (* (pow (sqrt 2) 1/3) (sqrt PI))))) (* 0 (/ (- (* 3/2 (* t (* (pow (sqrt 2) 1/3) (sqrt PI)))) (* t (* (pow (/ 1 (pow (sqrt 2) 5)) 1/3) (sqrt PI)))) (* t (* (pow (sqrt 2) 1/3) (sqrt PI))))) (* (- (* 3 (/ 1 (* t (* (pow (sqrt 2) 3) PI)))) (* 4 (/ 1 (* t (* (sqrt 2) PI))))) (/ 0 (* t (* (pow (sqrt 2) 1/3) (sqrt PI))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (sqrt 2) 3) 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* (pow (sqrt 2) 3) PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (pow (sqrt 2) 3) PI)) (/ 0 (* (pow (sqrt 2) 3) PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (/ 1 (* (pow (sqrt 2) 3) PI)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* (sqrt 2) PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) PI)) (/ 0 (* (sqrt 2) PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ 1 (* (sqrt 2) PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt 2) PI)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) PI)) (/ 0 (* (sqrt 2) PI))) (* 0 (/ 0 (* (sqrt 2) PI))) (* 0 (/ 0 (* (sqrt 2) PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 5))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* (- (* 5 (/ 1 PI))) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* -5/2 (sqrt (/ 1 PI))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 PI)))) into (* -25/8 (sqrt (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 -3) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ -3 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (/ -9/2 (pow (sqrt 2) 3)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt 2) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (/ -3 (sqrt 2))) 1)) (pow (sqrt 2) 3))) (* -3 (/ (* 1 (pow (* 2 (/ -3 (sqrt 2))) 2)) (pow (sqrt 2) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (/ -9/2 (pow (sqrt 2) 3))) 1)) (pow (sqrt 2) 1)))) 24) into (/ -9 (pow (sqrt 2) 4)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -9 (pow (sqrt 2) 4))) (+ (* 0 0) (+ (* 0 (/ -3 (pow (sqrt 2) 2))) (+ (* 0 0) (* 0 (log (sqrt 2))))))) into (- (* 3 (/ 1 (pow (sqrt 2) 4)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (- (/ 1 (pow (sqrt 2) 2))) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- (/ 1 (pow (sqrt 2) 2))) 2) 2)) (* (/ (pow (- (* 3 (/ 1 (pow (sqrt 2) 4)))) 1) 1)))) into (* -5/2 (pow (/ 1 (pow (sqrt 2) 11)) 1/3)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 -3) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ -3 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (/ -9/2 (pow (sqrt 2) 3)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt 2) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (/ -3 (sqrt 2))) 1)) (pow (sqrt 2) 3))) (* -3 (/ (* 1 (pow (* 2 (/ -3 (sqrt 2))) 2)) (pow (sqrt 2) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (/ -9/2 (pow (sqrt 2) 3))) 1)) (pow (sqrt 2) 1)))) 24) into (/ -9 (pow (sqrt 2) 4)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -9 (pow (sqrt 2) 4))) (+ (* 0 0) (+ (* 0 (/ -3 (pow (sqrt 2) 2))) (+ (* 0 0) (* 0 (log (sqrt 2))))))) into (- (* 3 (/ 1 (pow (sqrt 2) 4)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (- (/ 1 (pow (sqrt 2) 2))) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- (/ 1 (pow (sqrt 2) 2))) 2) 2)) (* (/ (pow (- (* 3 (/ 1 (pow (sqrt 2) 4)))) 1) 1)))) into (* -5/2 (pow (/ 1 (pow (sqrt 2) 11)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow (sqrt 2) 1/3) (* -5/2 (pow (/ 1 (pow (sqrt 2) 11)) 1/3))) (+ (* 0 0) (+ (* (* -1 (pow (/ 1 (pow (sqrt 2) 5)) 1/3)) (* -1 (pow (/ 1 (pow (sqrt 2) 5)) 1/3))) (+ (* 0 0) (* (* -5/2 (pow (/ 1 (pow (sqrt 2) 11)) 1/3)) (pow (sqrt 2) 1/3)))))) into (- (* 4 (pow (/ 1 (pow (sqrt 2) 10)) 1/3))) * [misc]backup-simplify: Simplify (- (/ (* -25/8 (sqrt (/ 1 PI))) (pow (pow (sqrt 2) 2) 1/3)) (+ (* (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (sqrt (/ 1 PI))) (/ (- (* 4 (pow (/ 1 (pow (sqrt 2) 10)) 1/3))) (pow (pow (sqrt 2) 2) 1/3))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/3))) (* (- (* 2 (* (pow (/ 1 (pow (sqrt 2) 8)) 1/3) (sqrt (/ 1 PI)))) (* 5/2 (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (sqrt (/ 1 PI))))) (/ (- (* 2 (pow (/ 1 (pow (sqrt 2) 4)) 1/3))) (pow (pow (sqrt 2) 2) 1/3))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/3))))) into (- (* 8 (* (pow (/ 1 (pow (sqrt 2) 14)) 1/3) (sqrt (/ 1 PI)))) (+ (* 25/8 (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (sqrt (/ 1 PI)))) (* 5 (* (pow (/ 1 (pow (sqrt 2) 8)) 1/3) (sqrt (/ 1 PI)))))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* t 0) (+ (* 0 0) (+ (* 0 -1) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 5))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* (- (* 5 (/ 1 PI))) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* -5/2 (sqrt (/ 1 PI))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 PI)))) into (* -25/8 (sqrt (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 -3) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ -3 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (/ -9/2 (pow (sqrt 2) 3)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt 2) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (/ -3 (sqrt 2))) 1)) (pow (sqrt 2) 3))) (* -3 (/ (* 1 (pow (* 2 (/ -3 (sqrt 2))) 2)) (pow (sqrt 2) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (/ -9/2 (pow (sqrt 2) 3))) 1)) (pow (sqrt 2) 1)))) 24) into (/ -9 (pow (sqrt 2) 4)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -9 (pow (sqrt 2) 4))) (+ (* 0 0) (+ (* 0 (/ -3 (pow (sqrt 2) 2))) (+ (* 0 0) (* 0 (log (sqrt 2))))))) into (- (* 3 (/ 1 (pow (sqrt 2) 4)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (- (/ 1 (pow (sqrt 2) 2))) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- (/ 1 (pow (sqrt 2) 2))) 2) 2)) (* (/ (pow (- (* 3 (/ 1 (pow (sqrt 2) 4)))) 1) 1)))) into (* -5/2 (pow (/ 1 (pow (sqrt 2) 11)) 1/3)) * [misc]backup-simplify: Simplify (- (/ (* -25/8 (sqrt (/ 1 PI))) (pow (sqrt 2) 1/3)) (+ (* (* (pow (/ 1 (sqrt 2)) 1/3) (sqrt (/ 1 PI))) (/ (* -5/2 (pow (/ 1 (pow (sqrt 2) 11)) 1/3)) (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))) (* (- (* (pow (/ 1 (pow (sqrt 2) 7)) 1/3) (sqrt (/ 1 PI))) (* 5/2 (* (pow (/ 1 (sqrt 2)) 1/3) (sqrt (/ 1 PI))))) (/ (* -1 (pow (/ 1 (pow (sqrt 2) 5)) 1/3)) (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))))) into (- (* 7/2 (* (pow (/ 1 (pow (sqrt 2) 13)) 1/3) (sqrt (/ 1 PI)))) (+ (* 5/2 (* (pow (/ 1 (pow (sqrt 2) 7)) 1/3) (sqrt (/ 1 PI)))) (* 25/8 (* (pow (/ 1 (sqrt 2)) 1/3) (sqrt (/ 1 PI)))))) * [misc]backup-simplify: Simplify (- (/ 0 (* (pow (/ 1 (sqrt 2)) 1/3) (sqrt (/ 1 PI)))) (+ (* (* t (* (pow (sqrt 2) 1/3) (sqrt PI))) (/ (- (* 7/2 (* (pow (/ 1 (pow (sqrt 2) 13)) 1/3) (sqrt (/ 1 PI)))) (+ (* 5/2 (* (pow (/ 1 (pow (sqrt 2) 7)) 1/3) (sqrt (/ 1 PI)))) (* 25/8 (* (pow (/ 1 (sqrt 2)) 1/3) (sqrt (/ 1 PI)))))) (* (pow (/ 1 (sqrt 2)) 1/3) (sqrt (/ 1 PI))))) (* 0 (/ 0 (* (pow (/ 1 (sqrt 2)) 1/3) (sqrt (/ 1 PI))))) (* (- (* 3/2 (* t (* (pow (sqrt 2) 1/3) (sqrt PI)))) (* t (* (pow (/ 1 (pow (sqrt 2) 5)) 1/3) (sqrt PI)))) (/ (- (* (pow (/ 1 (pow (sqrt 2) 7)) 1/3) (sqrt (/ 1 PI))) (* 5/2 (* (pow (/ 1 (sqrt 2)) 1/3) (sqrt (/ 1 PI))))) (* (pow (/ 1 (sqrt 2)) 1/3) (sqrt (/ 1 PI))))) (* 0 (/ 0 (* (pow (/ 1 (sqrt 2)) 1/3) (sqrt (/ 1 PI))))))) into (- (* 55/8 (* t (* (pow (sqrt 2) 1/3) (sqrt PI)))) (+ (* 3/2 (* t (* (pow (/ 1 (pow (sqrt 2) 5)) 1/3) (sqrt PI)))) (* 5/2 (* t (* (pow (/ 1 (pow (sqrt 2) 11)) 1/3) (sqrt PI)))))) * [misc]backup-simplify: Simplify (- (/ (- (* 8 (* (pow (/ 1 (pow (sqrt 2) 14)) 1/3) (sqrt (/ 1 PI)))) (+ (* 25/8 (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (sqrt (/ 1 PI)))) (* 5 (* (pow (/ 1 (pow (sqrt 2) 8)) 1/3) (sqrt (/ 1 PI)))))) (* t (* (pow (sqrt 2) 1/3) (sqrt PI)))) (+ (* (/ 1 (* t (* (sqrt 2) PI))) (/ (- (* 55/8 (* t (* (pow (sqrt 2) 1/3) (sqrt PI)))) (+ (* 3/2 (* t (* (pow (/ 1 (pow (sqrt 2) 5)) 1/3) (sqrt PI)))) (* 5/2 (* t (* (pow (/ 1 (pow (sqrt 2) 11)) 1/3) (sqrt PI)))))) (* t (* (pow (sqrt 2) 1/3) (sqrt PI))))) (* 0 (/ 0 (* t (* (pow (sqrt 2) 1/3) (sqrt PI))))) (* (- (* 3 (/ 1 (* t (* (pow (sqrt 2) 3) PI)))) (* 4 (/ 1 (* t (* (sqrt 2) PI))))) (/ (- (* 3/2 (* t (* (pow (sqrt 2) 1/3) (sqrt PI)))) (* t (* (pow (/ 1 (pow (sqrt 2) 5)) 1/3) (sqrt PI)))) (* t (* (pow (sqrt 2) 1/3) (sqrt PI))))) (* 0 (/ 0 (* t (* (pow (sqrt 2) 1/3) (sqrt PI))))))) into (- (* 27/2 (/ 1 (* t (* (pow (sqrt 2) 5) PI)))) (+ (* 4 (/ 1 (* t (* (sqrt 2) PI)))) (* 12 (/ 1 (* t (* (pow (sqrt 2) 3) PI)))))) * [misc]taylor: Taking taylor expansion of (- (* 27/2 (/ 1 (* t (* (pow (sqrt 2) 5) PI)))) (+ (* 4 (/ 1 (* t (* (sqrt 2) PI)))) (* 12 (/ 1 (* t (* (pow (sqrt 2) 3) PI)))))) in t * [misc]taylor: Taking taylor expansion of (* 27/2 (/ 1 (* t (* (pow (sqrt 2) 5) PI)))) in t * [misc]taylor: Taking taylor expansion of 27/2 in t * [misc]backup-simplify: Simplify 27/2 into 27/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* t (* (pow (sqrt 2) 5) PI))) in t * [misc]taylor: Taking taylor expansion of (* t (* (pow (sqrt 2) 5) PI)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (sqrt 2) 5) PI) in t * [misc]taylor: Taking taylor expansion of (pow (sqrt 2) 5) in t * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (sqrt 2)))) in t * [misc]taylor: Taking taylor expansion of (* 5 (log (sqrt 2))) in t * [misc]taylor: Taking taylor expansion of 5 in t * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (sqrt 2)) in t * [misc]taylor: Taking taylor expansion of (sqrt 2) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (log (sqrt 2)) into (log (sqrt 2)) * [misc]backup-simplify: Simplify (* 5 (log (sqrt 2))) into (* 5 (log (sqrt 2))) * [misc]backup-simplify: Simplify (exp (* 5 (log (sqrt 2)))) into (pow (sqrt 2) 5) * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (pow (sqrt 2) 5) PI) into (* (pow (sqrt 2) 5) PI) * [misc]backup-simplify: Simplify (* 0 (* (pow (sqrt 2) 5) PI)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (* 0 (log (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 5 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (sqrt 2) 5) 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* (pow (sqrt 2) 5) PI))) into (* (pow (sqrt 2) 5) PI) * [misc]backup-simplify: Simplify (/ 1 (* (pow (sqrt 2) 5) PI)) into (/ 1 (* (pow (sqrt 2) 5) PI)) * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (* t (* (sqrt 2) PI)))) (* 12 (/ 1 (* t (* (pow (sqrt 2) 3) PI))))) in t * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* t (* (sqrt 2) PI)))) in t * [misc]taylor: Taking taylor expansion of 4 in t * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* t (* (sqrt 2) PI))) in t * [misc]taylor: Taking taylor expansion of (* t (* (sqrt 2) PI)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) PI) in t * [misc]taylor: Taking taylor expansion of (sqrt 2) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (sqrt 2) PI) into (* (sqrt 2) PI) * [misc]backup-simplify: Simplify (* 0 (* (sqrt 2) PI)) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* (sqrt 2) PI))) into (* (sqrt 2) PI) * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) PI)) into (/ 1 (* (sqrt 2) PI)) * [misc]taylor: Taking taylor expansion of (* 12 (/ 1 (* t (* (pow (sqrt 2) 3) PI)))) in t * [misc]taylor: Taking taylor expansion of 12 in t * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ 1 (* t (* (pow (sqrt 2) 3) PI))) in t * [misc]taylor: Taking taylor expansion of (* t (* (pow (sqrt 2) 3) PI)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (sqrt 2) 3) PI) in t * [misc]taylor: Taking taylor expansion of (pow (sqrt 2) 3) in t * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqrt 2)))) in t * [misc]taylor: Taking taylor expansion of (* 3 (log (sqrt 2))) in t * [misc]taylor: Taking taylor expansion of 3 in t * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqrt 2)) in t * [misc]taylor: Taking taylor expansion of (sqrt 2) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (log (sqrt 2)) into (log (sqrt 2)) * [misc]backup-simplify: Simplify (* 3 (log (sqrt 2))) into (* 3 (log (sqrt 2))) * [misc]backup-simplify: Simplify (exp (* 3 (log (sqrt 2)))) into (pow (sqrt 2) 3) * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (pow (sqrt 2) 3) PI) into (* (pow (sqrt 2) 3) PI) * [misc]backup-simplify: Simplify (* 0 (* (pow (sqrt 2) 3) PI)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (sqrt 2) 3) 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* (pow (sqrt 2) 3) PI))) into (* (pow (sqrt 2) 3) PI) * [misc]backup-simplify: Simplify (/ 1 (* (pow (sqrt 2) 3) PI)) into (/ 1 (* (pow (sqrt 2) 3) PI)) * [misc]backup-simplify: Simplify (* 27/2 (/ 1 (* (pow (sqrt 2) 5) PI))) into (/ 27/2 (* (pow (sqrt 2) 5) PI)) * [misc]backup-simplify: Simplify (* 4 (/ 1 (* (sqrt 2) PI))) into (/ 4 (* (sqrt 2) PI)) * [misc]backup-simplify: Simplify (* 12 (/ 1 (* (pow (sqrt 2) 3) PI))) into (/ 12 (* (pow (sqrt 2) 3) PI)) * [misc]backup-simplify: Simplify (+ (/ 4 (* (sqrt 2) PI)) (/ 12 (* (pow (sqrt 2) 3) PI))) into (+ (* 12 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4 (/ 1 (* (sqrt 2) PI)))) * [misc]backup-simplify: Simplify (- (+ (* 12 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4 (/ 1 (* (sqrt 2) PI))))) into (- (+ (* 12 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4 (/ 1 (* (sqrt 2) PI))))) * [misc]backup-simplify: Simplify (+ (/ 27/2 (* (pow (sqrt 2) 5) PI)) (- (+ (* 12 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4 (/ 1 (* (sqrt 2) PI)))))) into (- (* 27/2 (/ 1 (* (pow (sqrt 2) 5) PI))) (+ (* 12 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4 (/ 1 (* (sqrt 2) PI))))) * [misc]backup-simplify: Simplify (- (* 27/2 (/ 1 (* (pow (sqrt 2) 5) PI))) (+ (* 12 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4 (/ 1 (* (sqrt 2) PI))))) into (- (* 27/2 (/ 1 (* (pow (sqrt 2) 5) PI))) (+ (* 12 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4 (/ 1 (* (sqrt 2) PI))))) * [misc]backup-simplify: Simplify (+ (* (- (* 27/2 (/ 1 (* (pow (sqrt 2) 5) PI))) (+ (* 12 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4 (/ 1 (* (sqrt 2) PI))))) (* (/ 1 t) (pow v 4))) (+ (* (- (* 3 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4 (/ 1 (* (sqrt 2) PI)))) (* (/ 1 t) (pow v 2))) (* (/ 1 (* (sqrt 2) PI)) (* (/ 1 t) 1)))) into (- (+ (/ 1 (* t (* (sqrt 2) PI))) (+ (* 3 (/ (pow v 2) (* t (* (pow (sqrt 2) 3) PI)))) (* 27/2 (/ (pow v 4) (* t (* (pow (sqrt 2) 5) PI)))))) (+ (* 4 (/ (pow v 4) (* t (* (sqrt 2) PI)))) (+ (* 4 (/ (pow v 2) (* t (* (sqrt 2) PI)))) (* 12 (/ (pow v 4) (* t (* (pow (sqrt 2) 3) PI))))))) * [misc]approximate: Taking taylor expansion of (/ (/ (sqrt (/ (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))))) (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))))))) (/ (* (/ 1 t) (- 1 (* (/ 1 v) (/ 1 v)))) (/ (sqrt (/ (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))))))) in (v t) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (sqrt (/ (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))))) (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))))))) (/ (* (/ 1 t) (- 1 (* (/ 1 v) (/ 1 v)))) (/ (sqrt (/ (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))))))) in t * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))))) (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))))))) in t * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) PI)) in t * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) PI) in t * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) (/ 1 v)) 5) in t * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in t * [misc]taylor: Taking taylor expansion of (/ 1 v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (/ 1 v) into (/ 1 v) * [misc]taylor: Taking taylor expansion of (/ 1 v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (/ 1 v) into (/ 1 v) * [misc]taylor: Taking taylor expansion of 5 in t * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (/ 1 v) (/ 1 v)) into (/ 1 (pow v 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow v 2)) 5) into (/ 5 (pow v 2)) * [misc]backup-simplify: Simplify (- (/ 5 (pow v 2))) into (- (* 5 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (+ 1 (- (* 5 (/ 1 (pow v 2))))) into (- 1 (* 5 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (/ (- 1 (* 5 (/ 1 (pow v 2)))) PI) into (/ (- 1 (* 5 (/ 1 (pow v 2)))) PI) * [misc]backup-simplify: Simplify (sqrt (/ (- 1 (* 5 (/ 1 (pow v 2)))) PI)) into (sqrt (/ (- 1 (* 5 (/ 1 (pow v 2)))) PI)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 v) (/ 0 v)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 v) (/ 0 v)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 v) 0) (* 0 (/ 1 v))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow v 2)) 0) (* 0 5)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (- 1 (* 5 (/ 1 (pow v 2)))) PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (- 1 (* 5 (/ 1 (pow v 2)))) PI)))) into 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))))) (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))))) in t * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))))) in t * [misc]taylor: Rewrote expression to (pow (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))))))) in t * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))))) in t * [misc]taylor: Taking taylor expansion of 1/3 in t * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))))) in t * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))) in t * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 v) 3) (/ 1 v))) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) 3) (/ 1 v)) in t * [misc]taylor: Taking taylor expansion of (* (/ 1 v) 3) in t * [misc]taylor: Taking taylor expansion of (/ 1 v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (/ 1 v) into (/ 1 v) * [misc]taylor: Taking taylor expansion of 3 in t * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (/ 1 v) into (/ 1 v) * [misc]backup-simplify: Simplify (* (/ 1 v) 3) into (/ 3 v) * [misc]backup-simplify: Simplify (* (/ 3 v) (/ 1 v)) into (/ 3 (pow v 2)) * [misc]backup-simplify: Simplify (- (/ 3 (pow v 2))) into (- (* 3 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (+ 1 (- (* 3 (/ 1 (pow v 2))))) into (- 1 (* 3 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (* 2 (- 1 (* 3 (/ 1 (pow v 2))))) into (* 2 (- 1 (* 3 (/ 1 (pow v 2))))) * [misc]backup-simplify: Simplify (sqrt (* 2 (- 1 (* 3 (/ 1 (pow v 2)))))) into (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 v) (/ 0 v)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 v) (/ 0 v)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 v) 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 3 v) 0) (* 0 (/ 1 v))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- 1 (* 3 (/ 1 (pow v 2)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 2 (- 1 (* 3 (/ 1 (pow v 2)))))))) into 0 * [misc]backup-simplify: Simplify (log (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) into (log (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))))) into (* 1/3 (log (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))))) into (pow (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))))) in t * [misc]taylor: Rewrote expression to (pow (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))))))) in t * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))))) in t * [misc]taylor: Taking taylor expansion of 1/3 in t * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))))) in t * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))) in t * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 v) 3) (/ 1 v))) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) 3) (/ 1 v)) in t * [misc]taylor: Taking taylor expansion of (* (/ 1 v) 3) in t * [misc]taylor: Taking taylor expansion of (/ 1 v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (/ 1 v) into (/ 1 v) * [misc]taylor: Taking taylor expansion of 3 in t * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (/ 1 v) into (/ 1 v) * [misc]backup-simplify: Simplify (* (/ 1 v) 3) into (/ 3 v) * [misc]backup-simplify: Simplify (* (/ 3 v) (/ 1 v)) into (/ 3 (pow v 2)) * [misc]backup-simplify: Simplify (- (/ 3 (pow v 2))) into (- (* 3 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (+ 1 (- (* 3 (/ 1 (pow v 2))))) into (- 1 (* 3 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (* 2 (- 1 (* 3 (/ 1 (pow v 2))))) into (* 2 (- 1 (* 3 (/ 1 (pow v 2))))) * [misc]backup-simplify: Simplify (sqrt (* 2 (- 1 (* 3 (/ 1 (pow v 2)))))) into (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 v) (/ 0 v)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 v) (/ 0 v)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 v) 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 3 v) 0) (* 0 (/ 1 v))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- 1 (* 3 (/ 1 (pow v 2)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 2 (- 1 (* 3 (/ 1 (pow v 2)))))))) into 0 * [misc]backup-simplify: Simplify (log (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) into (log (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))))) into (* 1/3 (log (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))))) into (pow (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))) 1/3) * [misc]backup-simplify: Simplify (* (pow (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))) 1/3) (pow (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))) 1/3)) into (pow (* (pow (sqrt 2) 2) (- 1 (* 3 (/ 1 (pow v 2))))) 1/3) * [misc]backup-simplify: Simplify (/ (sqrt (/ (- 1 (* 5 (/ 1 (pow v 2)))) PI)) (pow (* (pow (sqrt 2) 2) (- 1 (* 3 (/ 1 (pow v 2))))) 1/3)) into (* (pow (/ 1 (* (pow (sqrt 2) 2) (- 1 (* 3 (/ 1 (pow v 2)))))) 1/3) (sqrt (/ (- 1 (* 5 (/ 1 (pow v 2)))) PI))) * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 t) (- 1 (* (/ 1 v) (/ 1 v)))) (/ (sqrt (/ (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))))))) in t * [misc]taylor: Taking taylor expansion of (* (/ 1 t) (- 1 (* (/ 1 v) (/ 1 v)))) in t * [misc]taylor: Taking taylor expansion of (/ 1 t) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in t * [misc]taylor: Taking taylor expansion of (/ 1 v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (/ 1 v) into (/ 1 v) * [misc]taylor: Taking taylor expansion of (/ 1 v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (/ 1 v) into (/ 1 v) * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))))) in t * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) PI)) in t * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) PI) in t * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) (/ 1 v)) 5) in t * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in t * [misc]taylor: Taking taylor expansion of (/ 1 v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (/ 1 v) into (/ 1 v) * [misc]taylor: Taking taylor expansion of (/ 1 v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (/ 1 v) into (/ 1 v) * [misc]taylor: Taking taylor expansion of 5 in t * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (/ 1 v) (/ 1 v)) into (/ 1 (pow v 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow v 2)) 5) into (/ 5 (pow v 2)) * [misc]backup-simplify: Simplify (- (/ 5 (pow v 2))) into (- (* 5 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (+ 1 (- (* 5 (/ 1 (pow v 2))))) into (- 1 (* 5 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (/ (- 1 (* 5 (/ 1 (pow v 2)))) PI) into (/ (- 1 (* 5 (/ 1 (pow v 2)))) PI) * [misc]backup-simplify: Simplify (sqrt (/ (- 1 (* 5 (/ 1 (pow v 2)))) PI)) into (sqrt (/ (- 1 (* 5 (/ 1 (pow v 2)))) PI)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 v) (/ 0 v)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 v) (/ 0 v)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 v) 0) (* 0 (/ 1 v))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow v 2)) 0) (* 0 5)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (- 1 (* 5 (/ 1 (pow v 2)))) PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (- 1 (* 5 (/ 1 (pow v 2)))) PI)))) into 0 * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))))) in t * [misc]taylor: Rewrote expression to (pow (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))))))) in t * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))))) in t * [misc]taylor: Taking taylor expansion of 1/3 in t * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))))) in t * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))) in t * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 v) 3) (/ 1 v))) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) 3) (/ 1 v)) in t * [misc]taylor: Taking taylor expansion of (* (/ 1 v) 3) in t * [misc]taylor: Taking taylor expansion of (/ 1 v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (/ 1 v) into (/ 1 v) * [misc]taylor: Taking taylor expansion of 3 in t * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (/ 1 v) into (/ 1 v) * [misc]backup-simplify: Simplify (* (/ 1 v) 3) into (/ 3 v) * [misc]backup-simplify: Simplify (* (/ 3 v) (/ 1 v)) into (/ 3 (pow v 2)) * [misc]backup-simplify: Simplify (- (/ 3 (pow v 2))) into (- (* 3 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (+ 1 (- (* 3 (/ 1 (pow v 2))))) into (- 1 (* 3 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (* 2 (- 1 (* 3 (/ 1 (pow v 2))))) into (* 2 (- 1 (* 3 (/ 1 (pow v 2))))) * [misc]backup-simplify: Simplify (sqrt (* 2 (- 1 (* 3 (/ 1 (pow v 2)))))) into (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 v) (/ 0 v)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 v) (/ 0 v)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 v) 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 3 v) 0) (* 0 (/ 1 v))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- 1 (* 3 (/ 1 (pow v 2)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 2 (- 1 (* 3 (/ 1 (pow v 2)))))))) into 0 * [misc]backup-simplify: Simplify (log (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) into (log (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))))) into (* 1/3 (log (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))))) into (pow (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))) 1/3) * [misc]backup-simplify: Simplify (/ (sqrt (/ (- 1 (* 5 (/ 1 (pow v 2)))) PI)) (pow (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))) 1/3)) into (* (pow (/ 1 (sqrt 2)) 1/3) (* (pow (/ 1 (- 1 (* 3 (/ 1 (pow v 2))))) 1/6) (sqrt (/ (- 1 (* 5 (/ 1 (pow v 2)))) PI)))) * [misc]backup-simplify: Simplify (* (/ 1 v) (/ 1 v)) into (/ 1 (pow v 2)) * [misc]backup-simplify: Simplify (- (/ 1 (pow v 2))) into (- (/ 1 (pow v 2))) * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 (pow v 2)))) into (- 1 (/ 1 (pow v 2))) * [misc]backup-simplify: Simplify (* 1 (- 1 (/ 1 (pow v 2)))) into (- 1 (/ 1 (pow v 2))) * [misc]backup-simplify: Simplify (/ (- 1 (/ 1 (pow v 2))) (* (pow (/ 1 (sqrt 2)) 1/3) (* (pow (/ 1 (- 1 (* 3 (/ 1 (pow v 2))))) 1/6) (sqrt (/ (- 1 (* 5 (/ 1 (pow v 2)))) PI))))) into (* (pow (sqrt 2) 1/3) (* (pow (- 1 (* 3 (/ 1 (pow v 2)))) 1/6) (* (- 1 (/ 1 (pow v 2))) (sqrt (/ PI (- 1 (* 5 (/ 1 (pow v 2))))))))) * [misc]backup-simplify: Simplify (/ (* (pow (/ 1 (* (pow (sqrt 2) 2) (- 1 (* 3 (/ 1 (pow v 2)))))) 1/3) (sqrt (/ (- 1 (* 5 (/ 1 (pow v 2)))) PI))) (* (pow (sqrt 2) 1/3) (* (pow (- 1 (* 3 (/ 1 (pow v 2)))) 1/6) (* (- 1 (/ 1 (pow v 2))) (sqrt (/ PI (- 1 (* 5 (/ 1 (pow v 2)))))))))) into (* (/ (- 1 (* 5 (/ 1 (pow v 2)))) (* (sqrt 2) (* (- 1 (/ 1 (pow v 2))) PI))) (sqrt (/ 1 (- 1 (* 3 (/ 1 (pow v 2))))))) * [misc]taylor: Taking taylor expansion of (/ (/ (sqrt (/ (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))))) (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))))))) (/ (* (/ 1 t) (- 1 (* (/ 1 v) (/ 1 v)))) (/ (sqrt (/ (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))))))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))))) (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) PI)) in v * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) PI) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) (/ 1 v)) 5) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 5) into 5 * [misc]backup-simplify: Simplify (- 5) into -5 * [misc]backup-simplify: Simplify (+ 0 -5) into -5 * [misc]backup-simplify: Simplify (/ -5 PI) into (/ -5 PI) * [misc]backup-simplify: Simplify (sqrt (/ -5 PI)) into (sqrt (/ -5 PI)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 5)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -5 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -5 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))))) (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))))) in v * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))))) in v * [misc]taylor: Rewrote expression to (pow (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 v) 3) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) 3) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) 3) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 3) into 3 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* 2 -3) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -3)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (log (sqrt -6)) into (log (sqrt -6)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log v)) (log (sqrt -6))) into (- (log (sqrt -6)) (log v)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (sqrt -6)) (log v))) into (* 1/3 (- (log (sqrt -6)) (log v))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (sqrt -6)) (log v)))) into (exp (* 1/3 (- (log (sqrt -6)) (log v)))) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))))) in v * [misc]taylor: Rewrote expression to (pow (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 v) 3) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) 3) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) 3) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 3) into 3 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* 2 -3) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -3)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (log (sqrt -6)) into (log (sqrt -6)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log v)) (log (sqrt -6))) into (- (log (sqrt -6)) (log v)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (sqrt -6)) (log v))) into (* 1/3 (- (log (sqrt -6)) (log v))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (sqrt -6)) (log v)))) into (exp (* 1/3 (- (log (sqrt -6)) (log v)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (exp (* 1/3 (- (log (sqrt -6)) (log v))))) into (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2) * [misc]backup-simplify: Simplify (/ (sqrt (/ -5 PI)) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2)) into (/ (sqrt (/ -5 PI)) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2)) * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 t) (- 1 (* (/ 1 v) (/ 1 v)))) (/ (sqrt (/ (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))))))) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 t) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 1 t) in v * [misc]taylor: Taking taylor expansion of t in v * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (/ 1 t) into (/ 1 t) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) PI)) in v * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) PI) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) (/ 1 v)) 5) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 5) into 5 * [misc]backup-simplify: Simplify (- 5) into -5 * [misc]backup-simplify: Simplify (+ 0 -5) into -5 * [misc]backup-simplify: Simplify (/ -5 PI) into (/ -5 PI) * [misc]backup-simplify: Simplify (sqrt (/ -5 PI)) into (sqrt (/ -5 PI)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 5)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -5 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -5 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))))) in v * [misc]taylor: Rewrote expression to (pow (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 v) 3) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) 3) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) 3) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 3) into 3 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* 2 -3) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -3)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (log (sqrt -6)) into (log (sqrt -6)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log v)) (log (sqrt -6))) into (- (log (sqrt -6)) (log v)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (sqrt -6)) (log v))) into (* 1/3 (- (log (sqrt -6)) (log v))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (sqrt -6)) (log v)))) into (exp (* 1/3 (- (log (sqrt -6)) (log v)))) * [misc]backup-simplify: Simplify (/ (sqrt (/ -5 PI)) (exp (* 1/3 (- (log (sqrt -6)) (log v))))) into (/ (sqrt (/ -5 PI)) (exp (* 1/3 (- (log (sqrt -6)) (log v))))) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ 1 t) -1) into (/ -1 t) * [misc]backup-simplify: Simplify (/ (/ -1 t) (/ (sqrt (/ -5 PI)) (exp (* 1/3 (- (log (sqrt -6)) (log v)))))) into (* -1 (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (* t (sqrt (/ -5 PI))))) * [misc]backup-simplify: Simplify (/ (/ (sqrt (/ -5 PI)) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2)) (* -1 (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (* t (sqrt (/ -5 PI)))))) into (* -1 (/ (* t (pow (sqrt (/ -5 PI)) 2)) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 3))) * [misc]taylor: Taking taylor expansion of (/ (/ (sqrt (/ (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))))) (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))))))) (/ (* (/ 1 t) (- 1 (* (/ 1 v) (/ 1 v)))) (/ (sqrt (/ (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))))))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))))) (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) PI)) in v * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) PI) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) (/ 1 v)) 5) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 5) into 5 * [misc]backup-simplify: Simplify (- 5) into -5 * [misc]backup-simplify: Simplify (+ 0 -5) into -5 * [misc]backup-simplify: Simplify (/ -5 PI) into (/ -5 PI) * [misc]backup-simplify: Simplify (sqrt (/ -5 PI)) into (sqrt (/ -5 PI)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 5)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -5 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -5 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))))) (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))))) in v * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))))) in v * [misc]taylor: Rewrote expression to (pow (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 v) 3) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) 3) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) 3) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 3) into 3 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* 2 -3) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -3)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (log (sqrt -6)) into (log (sqrt -6)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log v)) (log (sqrt -6))) into (- (log (sqrt -6)) (log v)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (sqrt -6)) (log v))) into (* 1/3 (- (log (sqrt -6)) (log v))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (sqrt -6)) (log v)))) into (exp (* 1/3 (- (log (sqrt -6)) (log v)))) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))))) in v * [misc]taylor: Rewrote expression to (pow (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 v) 3) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) 3) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) 3) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 3) into 3 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* 2 -3) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -3)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (log (sqrt -6)) into (log (sqrt -6)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log v)) (log (sqrt -6))) into (- (log (sqrt -6)) (log v)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (sqrt -6)) (log v))) into (* 1/3 (- (log (sqrt -6)) (log v))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (sqrt -6)) (log v)))) into (exp (* 1/3 (- (log (sqrt -6)) (log v)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (exp (* 1/3 (- (log (sqrt -6)) (log v))))) into (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2) * [misc]backup-simplify: Simplify (/ (sqrt (/ -5 PI)) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2)) into (/ (sqrt (/ -5 PI)) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2)) * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 t) (- 1 (* (/ 1 v) (/ 1 v)))) (/ (sqrt (/ (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))))))) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 t) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 1 t) in v * [misc]taylor: Taking taylor expansion of t in v * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (/ 1 t) into (/ 1 t) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) PI)) in v * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) PI) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 v) (/ 1 v)) 5)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) (/ 1 v)) 5) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 5) into 5 * [misc]backup-simplify: Simplify (- 5) into -5 * [misc]backup-simplify: Simplify (+ 0 -5) into -5 * [misc]backup-simplify: Simplify (/ -5 PI) into (/ -5 PI) * [misc]backup-simplify: Simplify (sqrt (/ -5 PI)) into (sqrt (/ -5 PI)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 5)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -5 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -5 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))))) in v * [misc]taylor: Rewrote expression to (pow (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* (/ 1 v) 3) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 v) 3) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) 3) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) 3) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 3) into 3 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* 2 -3) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -3)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (log (sqrt -6)) into (log (sqrt -6)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log v)) (log (sqrt -6))) into (- (log (sqrt -6)) (log v)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (sqrt -6)) (log v))) into (* 1/3 (- (log (sqrt -6)) (log v))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (sqrt -6)) (log v)))) into (exp (* 1/3 (- (log (sqrt -6)) (log v)))) * [misc]backup-simplify: Simplify (/ (sqrt (/ -5 PI)) (exp (* 1/3 (- (log (sqrt -6)) (log v))))) into (/ (sqrt (/ -5 PI)) (exp (* 1/3 (- (log (sqrt -6)) (log v))))) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ 1 t) -1) into (/ -1 t) * [misc]backup-simplify: Simplify (/ (/ -1 t) (/ (sqrt (/ -5 PI)) (exp (* 1/3 (- (log (sqrt -6)) (log v)))))) into (* -1 (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (* t (sqrt (/ -5 PI))))) * [misc]backup-simplify: Simplify (/ (/ (sqrt (/ -5 PI)) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2)) (* -1 (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (* t (sqrt (/ -5 PI)))))) into (* -1 (/ (* t (pow (sqrt (/ -5 PI)) 2)) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 3))) * [misc]taylor: Taking taylor expansion of (* -1 (/ (* t (pow (sqrt (/ -5 PI)) 2)) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 3))) in t * [misc]taylor: Taking taylor expansion of -1 in t * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (* t (pow (sqrt (/ -5 PI)) 2)) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 3)) in t * [misc]taylor: Taking taylor expansion of (* t (pow (sqrt (/ -5 PI)) 2)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (sqrt (/ -5 PI)) 2) in t * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (sqrt (/ -5 PI))))) in t * [misc]taylor: Taking taylor expansion of (* 2 (log (sqrt (/ -5 PI)))) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (sqrt (/ -5 PI))) in t * [misc]taylor: Taking taylor expansion of (sqrt (/ -5 PI)) in t * [misc]taylor: Taking taylor expansion of (/ -5 PI) in t * [misc]taylor: Taking taylor expansion of -5 in t * [misc]backup-simplify: Simplify -5 into -5 * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ -5 PI) into (/ -5 PI) * [misc]backup-simplify: Simplify (sqrt (/ -5 PI)) into (sqrt (/ -5 PI)) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -5 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -5 PI)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (/ -5 PI))) into (log (sqrt (/ -5 PI))) * [misc]backup-simplify: Simplify (* 2 (log (sqrt (/ -5 PI)))) into (* 2 (log (sqrt (/ -5 PI)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (sqrt (/ -5 PI))))) into (pow (sqrt (/ -5 PI)) 2) * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 3) in t * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (exp (* 1/3 (- (log (sqrt -6)) (log v))))))) in t * [misc]taylor: Taking taylor expansion of (* 3 (log (exp (* 1/3 (- (log (sqrt -6)) (log v)))))) in t * [misc]taylor: Taking taylor expansion of 3 in t * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (exp (* 1/3 (- (log (sqrt -6)) (log v))))) in t * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (sqrt -6)) (log v)))) in t * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (sqrt -6)) (log v))) in t * [misc]taylor: Taking taylor expansion of 1/3 in t * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (sqrt -6)) (log v)) in t * [misc]taylor: Taking taylor expansion of (log (sqrt -6)) in t * [misc]taylor: Taking taylor expansion of (sqrt -6) in t * [misc]taylor: Taking taylor expansion of -6 in t * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (log (sqrt -6)) into (log (sqrt -6)) * [misc]taylor: Taking taylor expansion of (log v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (log v) into (log v) * [misc]backup-simplify: Simplify (- (log v)) into (- (log v)) * [misc]backup-simplify: Simplify (+ (log (sqrt -6)) (- (log v))) into (- (log (sqrt -6)) (log v)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (sqrt -6)) (log v))) into (* 1/3 (- (log (sqrt -6)) (log v))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (sqrt -6)) (log v)))) into (exp (* 1/3 (- (log (sqrt -6)) (log v)))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log (sqrt -6)) (log v))))) into (* 1/3 (- (log (sqrt -6)) (log v))) * [misc]backup-simplify: Simplify (* 3 (* 1/3 (- (log (sqrt -6)) (log v)))) into (- (log (sqrt -6)) (log v)) * [misc]backup-simplify: Simplify (exp (- (log (sqrt -6)) (log v))) into (exp (- (log (sqrt -6)) (log v))) * [misc]backup-simplify: Simplify (* 0 (pow (sqrt (/ -5 PI)) 2)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (/ -5 PI)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (sqrt (/ -5 PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt (/ -5 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (pow (sqrt (/ -5 PI)) 2))) into (pow (sqrt (/ -5 PI)) 2) * [misc]backup-simplify: Simplify (/ (pow (sqrt (/ -5 PI)) 2) (exp (- (log (sqrt -6)) (log v)))) into (/ (pow (sqrt (/ -5 PI)) 2) (exp (- (log (sqrt -6)) (log v)))) * [misc]backup-simplify: Simplify (* -1 (/ (pow (sqrt (/ -5 PI)) 2) (exp (- (log (sqrt -6)) (log v))))) into (* -1 (/ (pow (sqrt (/ -5 PI)) 2) (exp (- (log (sqrt -6)) (log v))))) * [misc]backup-simplify: Simplify (* -1 (/ (pow (sqrt (/ -5 PI)) 2) (exp (- (log (sqrt -6)) (log v))))) into (* -1 (/ (pow (sqrt (/ -5 PI)) 2) (exp (- (log (sqrt -6)) (log v))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt -6) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log v)) (log (sqrt -6))) into (- (log (sqrt -6)) (log v)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (sqrt -6)) (log v)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt -6) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log v)) (log (sqrt -6))) into (- (log (sqrt -6)) (log v)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (sqrt -6)) (log v)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 0) (* 0 (exp (* 1/3 (- (log (sqrt -6)) (log v)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2)) (+ (* (/ (sqrt (/ -5 PI)) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2)) (/ 0 (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 t) (/ 0 t)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 t) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt -6) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log v)) (log (sqrt -6))) into (- (log (sqrt -6)) (log v)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (sqrt -6)) (log v)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/3 (- (log (sqrt -6)) (log v))))) (+ (* (/ (sqrt (/ -5 PI)) (exp (* 1/3 (- (log (sqrt -6)) (log v))))) (/ 0 (exp (* 1/3 (- (log (sqrt -6)) (log v)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ (sqrt (/ -5 PI)) (exp (* 1/3 (- (log (sqrt -6)) (log v)))))) (+ (* (* -1 (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (* t (sqrt (/ -5 PI))))) (/ 0 (/ (sqrt (/ -5 PI)) (exp (* 1/3 (- (log (sqrt -6)) (log v))))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -1 (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (* t (sqrt (/ -5 PI)))))) (+ (* (* -1 (/ (* t (pow (sqrt (/ -5 PI)) 2)) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 3))) (/ 0 (* -1 (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (* t (sqrt (/ -5 PI))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -5 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -5 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (/ -5 PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (/ -5 PI)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (sqrt (/ -5 PI)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt (/ -5 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow (sqrt (/ -5 PI)) 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt -6) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow v 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (sqrt -6)) (log v)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (* 1/3 (- (log (sqrt -6)) (log v))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (sqrt -6)) (log v))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (- (log (sqrt -6)) (log v)))) (+ (* (/ (pow (sqrt (/ -5 PI)) 2) (exp (- (log (sqrt -6)) (log v)))) (/ 0 (exp (- (log (sqrt -6)) (log v))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ (pow (sqrt (/ -5 PI)) 2) (exp (- (log (sqrt -6)) (log v)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 5))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 PI) (+ (* (/ -5 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into (/ 1 PI) * [misc]backup-simplify: Simplify (/ (- (/ 1 PI) (pow 0 2) (+)) (* 2 (sqrt (/ -5 PI)))) into (/ 1/2 (* (sqrt (/ -5 PI)) PI)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 2 1) (+ (* 0 0) (* 0 -3))) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt -6) 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (sqrt -6))) 1)) (pow (sqrt -6) 1)))) 2) into (/ 1 (pow (sqrt -6) 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log v)) (log (sqrt -6))) into (- (log (sqrt -6)) (log v)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 (pow (sqrt -6) 2))) (+ (* 0 0) (* 0 (- (log (sqrt -6)) (log v))))) into (* 1/3 (/ 1 (pow (sqrt -6) 2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow (sqrt -6) 2))) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (pow (sqrt -6) 2))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 2 1) (+ (* 0 0) (* 0 -3))) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt -6) 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (sqrt -6))) 1)) (pow (sqrt -6) 1)))) 2) into (/ 1 (pow (sqrt -6) 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log v)) (log (sqrt -6))) into (- (log (sqrt -6)) (log v)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 (pow (sqrt -6) 2))) (+ (* 0 0) (* 0 (- (log (sqrt -6)) (log v))))) into (* 1/3 (/ 1 (pow (sqrt -6) 2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow (sqrt -6) 2))) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (pow (sqrt -6) 2))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (* 1/3 (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (pow (sqrt -6) 2)))) (+ (* 0 0) (* (* 1/3 (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (pow (sqrt -6) 2))) (exp (* 1/3 (- (log (sqrt -6)) (log v))))))) into (* 2/3 (/ (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2) (pow (sqrt -6) 2))) * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (* (sqrt (/ -5 PI)) PI)) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2)) (+ (* (/ (sqrt (/ -5 PI)) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2)) (/ (* 2/3 (/ (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2) (pow (sqrt -6) 2))) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2))) (* 0 (/ 0 (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2))))) into (- (* 1/2 (/ 1 (* (sqrt (/ -5 PI)) (* PI (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2))))) (* 2/3 (/ (sqrt (/ -5 PI)) (* (pow (sqrt -6) 2) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 t) (/ 0 t)) (* 0 (/ 0 t)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 t) 1) (+ (* 0 0) (* 0 -1))) into (/ 1 t) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 5))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 PI) (+ (* (/ -5 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into (/ 1 PI) * [misc]backup-simplify: Simplify (/ (- (/ 1 PI) (pow 0 2) (+)) (* 2 (sqrt (/ -5 PI)))) into (/ 1/2 (* (sqrt (/ -5 PI)) PI)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 2 1) (+ (* 0 0) (* 0 -3))) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt -6) 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (sqrt -6))) 1)) (pow (sqrt -6) 1)))) 2) into (/ 1 (pow (sqrt -6) 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log v)) (log (sqrt -6))) into (- (log (sqrt -6)) (log v)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 (pow (sqrt -6) 2))) (+ (* 0 0) (* 0 (- (log (sqrt -6)) (log v))))) into (* 1/3 (/ 1 (pow (sqrt -6) 2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow (sqrt -6) 2))) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (pow (sqrt -6) 2))) * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (* (sqrt (/ -5 PI)) PI)) (exp (* 1/3 (- (log (sqrt -6)) (log v))))) (+ (* (/ (sqrt (/ -5 PI)) (exp (* 1/3 (- (log (sqrt -6)) (log v))))) (/ (* 1/3 (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (pow (sqrt -6) 2))) (exp (* 1/3 (- (log (sqrt -6)) (log v)))))) (* 0 (/ 0 (exp (* 1/3 (- (log (sqrt -6)) (log v)))))))) into (- (* 1/2 (/ 1 (* (sqrt (/ -5 PI)) (* PI (exp (* 1/3 (- (log (sqrt -6)) (log v)))))))) (* 1/3 (/ (sqrt (/ -5 PI)) (* (pow (sqrt -6) 2) (exp (* 1/3 (- (log (sqrt -6)) (log v)))))))) * [misc]backup-simplify: Simplify (- (/ (/ 1 t) (/ (sqrt (/ -5 PI)) (exp (* 1/3 (- (log (sqrt -6)) (log v)))))) (+ (* (* -1 (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (* t (sqrt (/ -5 PI))))) (/ (- (* 1/2 (/ 1 (* (sqrt (/ -5 PI)) (* PI (exp (* 1/3 (- (log (sqrt -6)) (log v)))))))) (* 1/3 (/ (sqrt (/ -5 PI)) (* (pow (sqrt -6) 2) (exp (* 1/3 (- (log (sqrt -6)) (log v)))))))) (/ (sqrt (/ -5 PI)) (exp (* 1/3 (- (log (sqrt -6)) (log v))))))) (* 0 (/ 0 (/ (sqrt (/ -5 PI)) (exp (* 1/3 (- (log (sqrt -6)) (log v))))))))) into (- (+ (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (* t (sqrt (/ -5 PI)))) (* 1/2 (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (* t (* (pow (sqrt (/ -5 PI)) 3) PI))))) (* 1/3 (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (* t (* (pow (sqrt -6) 2) (sqrt (/ -5 PI))))))) * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 (/ 1 (* (sqrt (/ -5 PI)) (* PI (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2))))) (* 2/3 (/ (sqrt (/ -5 PI)) (* (pow (sqrt -6) 2) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2))))) (* -1 (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (* t (sqrt (/ -5 PI)))))) (+ (* (* -1 (/ (* t (pow (sqrt (/ -5 PI)) 2)) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 3))) (/ (- (+ (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (* t (sqrt (/ -5 PI)))) (* 1/2 (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (* t (* (pow (sqrt (/ -5 PI)) 3) PI))))) (* 1/3 (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (* t (* (pow (sqrt -6) 2) (sqrt (/ -5 PI))))))) (* -1 (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (* t (sqrt (/ -5 PI))))))) (* 0 (/ 0 (* -1 (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (* t (sqrt (/ -5 PI))))))))) into (- (/ (* t (pow (sqrt (/ -5 PI)) 2)) (* (pow (sqrt -6) 2) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 3))) (+ (/ t (* PI (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 3))) (/ (* t (pow (sqrt (/ -5 PI)) 2)) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 3)))) * [misc]taylor: Taking taylor expansion of (- (/ (* t (pow (sqrt (/ -5 PI)) 2)) (* (pow (sqrt -6) 2) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 3))) (+ (/ t (* PI (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 3))) (/ (* t (pow (sqrt (/ -5 PI)) 2)) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 3)))) in t * [misc]taylor: Taking taylor expansion of (/ (* t (pow (sqrt (/ -5 PI)) 2)) (* (pow (sqrt -6) 2) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 3))) in t * [misc]taylor: Taking taylor expansion of (* t (pow (sqrt (/ -5 PI)) 2)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (sqrt (/ -5 PI)) 2) in t * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (sqrt (/ -5 PI))))) in t * [misc]taylor: Taking taylor expansion of (* 2 (log (sqrt (/ -5 PI)))) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (sqrt (/ -5 PI))) in t * [misc]taylor: Taking taylor expansion of (sqrt (/ -5 PI)) in t * [misc]taylor: Taking taylor expansion of (/ -5 PI) in t * [misc]taylor: Taking taylor expansion of -5 in t * [misc]backup-simplify: Simplify -5 into -5 * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ -5 PI) into (/ -5 PI) * [misc]backup-simplify: Simplify (sqrt (/ -5 PI)) into (sqrt (/ -5 PI)) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -5 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -5 PI)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (/ -5 PI))) into (log (sqrt (/ -5 PI))) * [misc]backup-simplify: Simplify (* 2 (log (sqrt (/ -5 PI)))) into (* 2 (log (sqrt (/ -5 PI)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (sqrt (/ -5 PI))))) into (pow (sqrt (/ -5 PI)) 2) * [misc]taylor: Taking taylor expansion of (* (pow (sqrt -6) 2) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 3)) in t * [misc]taylor: Taking taylor expansion of (pow (sqrt -6) 2) in t * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (sqrt -6)))) in t * [misc]taylor: Taking taylor expansion of (* 2 (log (sqrt -6))) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (sqrt -6)) in t * [misc]taylor: Taking taylor expansion of (sqrt -6) in t * [misc]taylor: Taking taylor expansion of -6 in t * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (log (sqrt -6)) into (log (sqrt -6)) * [misc]backup-simplify: Simplify (* 2 (log (sqrt -6))) into (* 2 (log (sqrt -6))) * [misc]backup-simplify: Simplify (exp (* 2 (log (sqrt -6)))) into (pow (sqrt -6) 2) * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 3) in t * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (exp (* 1/3 (- (log (sqrt -6)) (log v))))))) in t * [misc]taylor: Taking taylor expansion of (* 3 (log (exp (* 1/3 (- (log (sqrt -6)) (log v)))))) in t * [misc]taylor: Taking taylor expansion of 3 in t * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (exp (* 1/3 (- (log (sqrt -6)) (log v))))) in t * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (sqrt -6)) (log v)))) in t * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (sqrt -6)) (log v))) in t * [misc]taylor: Taking taylor expansion of 1/3 in t * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (sqrt -6)) (log v)) in t * [misc]taylor: Taking taylor expansion of (log (sqrt -6)) in t * [misc]taylor: Taking taylor expansion of (sqrt -6) in t * [misc]taylor: Taking taylor expansion of -6 in t * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (log (sqrt -6)) into (log (sqrt -6)) * [misc]taylor: Taking taylor expansion of (log v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (log v) into (log v) * [misc]backup-simplify: Simplify (- (log v)) into (- (log v)) * [misc]backup-simplify: Simplify (+ (log (sqrt -6)) (- (log v))) into (- (log (sqrt -6)) (log v)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (sqrt -6)) (log v))) into (* 1/3 (- (log (sqrt -6)) (log v))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (sqrt -6)) (log v)))) into (exp (* 1/3 (- (log (sqrt -6)) (log v)))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log (sqrt -6)) (log v))))) into (* 1/3 (- (log (sqrt -6)) (log v))) * [misc]backup-simplify: Simplify (* 3 (* 1/3 (- (log (sqrt -6)) (log v)))) into (- (log (sqrt -6)) (log v)) * [misc]backup-simplify: Simplify (exp (- (log (sqrt -6)) (log v))) into (exp (- (log (sqrt -6)) (log v))) * [misc]backup-simplify: Simplify (* 0 (pow (sqrt (/ -5 PI)) 2)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (/ -5 PI)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (sqrt (/ -5 PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt (/ -5 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (pow (sqrt (/ -5 PI)) 2))) into (pow (sqrt (/ -5 PI)) 2) * [misc]backup-simplify: Simplify (* (pow (sqrt -6) 2) (exp (- (log (sqrt -6)) (log v)))) into (* (pow (sqrt -6) 2) (exp (- (log (sqrt -6)) (log v)))) * [misc]backup-simplify: Simplify (/ (pow (sqrt (/ -5 PI)) 2) (* (pow (sqrt -6) 2) (exp (- (log (sqrt -6)) (log v))))) into (/ (pow (sqrt (/ -5 PI)) 2) (* (pow (sqrt -6) 2) (exp (- (log (sqrt -6)) (log v))))) * [misc]taylor: Taking taylor expansion of (+ (/ t (* PI (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 3))) (/ (* t (pow (sqrt (/ -5 PI)) 2)) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 3))) in t * [misc]taylor: Taking taylor expansion of (/ t (* PI (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 3))) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* PI (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 3)) in t * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 3) in t * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (exp (* 1/3 (- (log (sqrt -6)) (log v))))))) in t * [misc]taylor: Taking taylor expansion of (* 3 (log (exp (* 1/3 (- (log (sqrt -6)) (log v)))))) in t * [misc]taylor: Taking taylor expansion of 3 in t * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (exp (* 1/3 (- (log (sqrt -6)) (log v))))) in t * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (sqrt -6)) (log v)))) in t * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (sqrt -6)) (log v))) in t * [misc]taylor: Taking taylor expansion of 1/3 in t * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (sqrt -6)) (log v)) in t * [misc]taylor: Taking taylor expansion of (log (sqrt -6)) in t * [misc]taylor: Taking taylor expansion of (sqrt -6) in t * [misc]taylor: Taking taylor expansion of -6 in t * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (log (sqrt -6)) into (log (sqrt -6)) * [misc]taylor: Taking taylor expansion of (log v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (log v) into (log v) * [misc]backup-simplify: Simplify (- (log v)) into (- (log v)) * [misc]backup-simplify: Simplify (+ (log (sqrt -6)) (- (log v))) into (- (log (sqrt -6)) (log v)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (sqrt -6)) (log v))) into (* 1/3 (- (log (sqrt -6)) (log v))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (sqrt -6)) (log v)))) into (exp (* 1/3 (- (log (sqrt -6)) (log v)))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log (sqrt -6)) (log v))))) into (* 1/3 (- (log (sqrt -6)) (log v))) * [misc]backup-simplify: Simplify (* 3 (* 1/3 (- (log (sqrt -6)) (log v)))) into (- (log (sqrt -6)) (log v)) * [misc]backup-simplify: Simplify (exp (- (log (sqrt -6)) (log v))) into (exp (- (log (sqrt -6)) (log v))) * [misc]backup-simplify: Simplify (* PI (exp (- (log (sqrt -6)) (log v)))) into (* PI (exp (- (log (sqrt -6)) (log v)))) * [misc]backup-simplify: Simplify (/ 1 (* PI (exp (- (log (sqrt -6)) (log v))))) into (/ 1 (* PI (exp (- (log (sqrt -6)) (log v))))) * [misc]taylor: Taking taylor expansion of (/ (* t (pow (sqrt (/ -5 PI)) 2)) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 3)) in t * [misc]taylor: Taking taylor expansion of (* t (pow (sqrt (/ -5 PI)) 2)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (sqrt (/ -5 PI)) 2) in t * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (sqrt (/ -5 PI))))) in t * [misc]taylor: Taking taylor expansion of (* 2 (log (sqrt (/ -5 PI)))) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (sqrt (/ -5 PI))) in t * [misc]taylor: Taking taylor expansion of (sqrt (/ -5 PI)) in t * [misc]taylor: Taking taylor expansion of (/ -5 PI) in t * [misc]taylor: Taking taylor expansion of -5 in t * [misc]backup-simplify: Simplify -5 into -5 * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ -5 PI) into (/ -5 PI) * [misc]backup-simplify: Simplify (sqrt (/ -5 PI)) into (sqrt (/ -5 PI)) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -5 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -5 PI)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (/ -5 PI))) into (log (sqrt (/ -5 PI))) * [misc]backup-simplify: Simplify (* 2 (log (sqrt (/ -5 PI)))) into (* 2 (log (sqrt (/ -5 PI)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (sqrt (/ -5 PI))))) into (pow (sqrt (/ -5 PI)) 2) * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 3) in t * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (exp (* 1/3 (- (log (sqrt -6)) (log v))))))) in t * [misc]taylor: Taking taylor expansion of (* 3 (log (exp (* 1/3 (- (log (sqrt -6)) (log v)))))) in t * [misc]taylor: Taking taylor expansion of 3 in t * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (exp (* 1/3 (- (log (sqrt -6)) (log v))))) in t * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (sqrt -6)) (log v)))) in t * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (sqrt -6)) (log v))) in t * [misc]taylor: Taking taylor expansion of 1/3 in t * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (sqrt -6)) (log v)) in t * [misc]taylor: Taking taylor expansion of (log (sqrt -6)) in t * [misc]taylor: Taking taylor expansion of (sqrt -6) in t * [misc]taylor: Taking taylor expansion of -6 in t * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (log (sqrt -6)) into (log (sqrt -6)) * [misc]taylor: Taking taylor expansion of (log v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (log v) into (log v) * [misc]backup-simplify: Simplify (- (log v)) into (- (log v)) * [misc]backup-simplify: Simplify (+ (log (sqrt -6)) (- (log v))) into (- (log (sqrt -6)) (log v)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (sqrt -6)) (log v))) into (* 1/3 (- (log (sqrt -6)) (log v))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (sqrt -6)) (log v)))) into (exp (* 1/3 (- (log (sqrt -6)) (log v)))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log (sqrt -6)) (log v))))) into (* 1/3 (- (log (sqrt -6)) (log v))) * [misc]backup-simplify: Simplify (* 3 (* 1/3 (- (log (sqrt -6)) (log v)))) into (- (log (sqrt -6)) (log v)) * [misc]backup-simplify: Simplify (exp (- (log (sqrt -6)) (log v))) into (exp (- (log (sqrt -6)) (log v))) * [misc]backup-simplify: Simplify (* 0 (pow (sqrt (/ -5 PI)) 2)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (/ -5 PI)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (sqrt (/ -5 PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt (/ -5 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (pow (sqrt (/ -5 PI)) 2))) into (pow (sqrt (/ -5 PI)) 2) * [misc]backup-simplify: Simplify (/ (pow (sqrt (/ -5 PI)) 2) (exp (- (log (sqrt -6)) (log v)))) into (/ (pow (sqrt (/ -5 PI)) 2) (exp (- (log (sqrt -6)) (log v)))) * [misc]backup-simplify: Simplify (+ (/ 1 (* PI (exp (- (log (sqrt -6)) (log v))))) (/ (pow (sqrt (/ -5 PI)) 2) (exp (- (log (sqrt -6)) (log v))))) into (+ (/ 1 (* PI (exp (- (log (sqrt -6)) (log v))))) (/ (pow (sqrt (/ -5 PI)) 2) (exp (- (log (sqrt -6)) (log v))))) * [misc]backup-simplify: Simplify (- (+ (/ 1 (* PI (exp (- (log (sqrt -6)) (log v))))) (/ (pow (sqrt (/ -5 PI)) 2) (exp (- (log (sqrt -6)) (log v)))))) into (- (+ (/ 1 (* PI (exp (- (log (sqrt -6)) (log v))))) (/ (pow (sqrt (/ -5 PI)) 2) (exp (- (log (sqrt -6)) (log v)))))) * [misc]backup-simplify: Simplify (+ (/ (pow (sqrt (/ -5 PI)) 2) (* (pow (sqrt -6) 2) (exp (- (log (sqrt -6)) (log v))))) (- (+ (/ 1 (* PI (exp (- (log (sqrt -6)) (log v))))) (/ (pow (sqrt (/ -5 PI)) 2) (exp (- (log (sqrt -6)) (log v))))))) into (- (/ (pow (sqrt (/ -5 PI)) 2) (* (pow (sqrt -6) 2) (exp (- (log (sqrt -6)) (log v))))) (+ (/ (pow (sqrt (/ -5 PI)) 2) (exp (- (log (sqrt -6)) (log v)))) (/ 1 (* PI (exp (- (log (sqrt -6)) (log v))))))) * [misc]backup-simplify: Simplify (- (/ (pow (sqrt (/ -5 PI)) 2) (* (pow (sqrt -6) 2) (exp (- (log (sqrt -6)) (log v))))) (+ (/ (pow (sqrt (/ -5 PI)) 2) (exp (- (log (sqrt -6)) (log v)))) (/ 1 (* PI (exp (- (log (sqrt -6)) (log v))))))) into (- (/ (pow (sqrt (/ -5 PI)) 2) (* (pow (sqrt -6) 2) (exp (- (log (sqrt -6)) (log v))))) (+ (/ (pow (sqrt (/ -5 PI)) 2) (exp (- (log (sqrt -6)) (log v)))) (/ 1 (* PI (exp (- (log (sqrt -6)) (log v))))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -5 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ -5 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt (/ -5 PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt (/ -5 PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt (/ -5 PI)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt (/ -5 PI))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt (/ -5 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow (sqrt (/ -5 PI)) 2))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt -6) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt -6) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow v 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow v 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (sqrt -6)) (log v))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (sqrt -6)) (log v)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (sqrt -6)) (log v))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (- (log (sqrt -6)) (log v)))) (+ (* (/ (pow (sqrt (/ -5 PI)) 2) (exp (- (log (sqrt -6)) (log v)))) (/ 0 (exp (- (log (sqrt -6)) (log v))))) (* 0 (/ 0 (exp (- (log (sqrt -6)) (log v))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (pow (sqrt (/ -5 PI)) 2) (exp (- (log (sqrt -6)) (log v))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 5)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -5 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* (sqrt (/ -5 PI)) PI)))))) (* 2 (sqrt (/ -5 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (+ (* 0 0) (* 0 -3)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt -6) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (sqrt -6))) 1)) (pow (sqrt -6) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt -6) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log v)) (log (sqrt -6))) into (- (log (sqrt -6)) (log v)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow (sqrt -6) 2))) (+ (* 0 0) (* 0 (- (log (sqrt -6)) (log v)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow (sqrt -6) 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (+ (* 0 0) (* 0 -3)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt -6) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (sqrt -6))) 1)) (pow (sqrt -6) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt -6) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log v)) (log (sqrt -6))) into (- (log (sqrt -6)) (log v)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow (sqrt -6) 2))) (+ (* 0 0) (* 0 (- (log (sqrt -6)) (log v)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow (sqrt -6) 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 0) (+ (* 0 (* 1/3 (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (pow (sqrt -6) 2)))) (+ (* (* 1/3 (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (pow (sqrt -6) 2))) 0) (* 0 (exp (* 1/3 (- (log (sqrt -6)) (log v)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2)) (+ (* (/ (sqrt (/ -5 PI)) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2)) (/ 0 (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2))) (* 0 (/ (* 2/3 (/ (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2) (pow (sqrt -6) 2))) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2))) (* (- (* 1/2 (/ 1 (* (sqrt (/ -5 PI)) (* PI (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2))))) (* 2/3 (/ (sqrt (/ -5 PI)) (* (pow (sqrt -6) 2) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2))))) (/ 0 (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 t) (/ 0 t)) (* 0 (/ 0 t)) (* 0 (/ 0 t)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 t) 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 5)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -5 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* (sqrt (/ -5 PI)) PI)))))) (* 2 (sqrt (/ -5 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (+ (* 0 0) (* 0 -3)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt -6) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (sqrt -6))) 1)) (pow (sqrt -6) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt -6) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log v)) (log (sqrt -6))) into (- (log (sqrt -6)) (log v)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow (sqrt -6) 2))) (+ (* 0 0) (* 0 (- (log (sqrt -6)) (log v)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow (sqrt -6) 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/3 (- (log (sqrt -6)) (log v))))) (+ (* (/ (sqrt (/ -5 PI)) (exp (* 1/3 (- (log (sqrt -6)) (log v))))) (/ 0 (exp (* 1/3 (- (log (sqrt -6)) (log v)))))) (* 0 (/ (* 1/3 (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (pow (sqrt -6) 2))) (exp (* 1/3 (- (log (sqrt -6)) (log v)))))) (* (- (* 1/2 (/ 1 (* (sqrt (/ -5 PI)) (* PI (exp (* 1/3 (- (log (sqrt -6)) (log v)))))))) (* 1/3 (/ (sqrt (/ -5 PI)) (* (pow (sqrt -6) 2) (exp (* 1/3 (- (log (sqrt -6)) (log v)))))))) (/ 0 (exp (* 1/3 (- (log (sqrt -6)) (log v)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ (sqrt (/ -5 PI)) (exp (* 1/3 (- (log (sqrt -6)) (log v)))))) (+ (* (* -1 (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (* t (sqrt (/ -5 PI))))) (/ 0 (/ (sqrt (/ -5 PI)) (exp (* 1/3 (- (log (sqrt -6)) (log v))))))) (* 0 (/ (- (* 1/2 (/ 1 (* (sqrt (/ -5 PI)) (* PI (exp (* 1/3 (- (log (sqrt -6)) (log v)))))))) (* 1/3 (/ (sqrt (/ -5 PI)) (* (pow (sqrt -6) 2) (exp (* 1/3 (- (log (sqrt -6)) (log v)))))))) (/ (sqrt (/ -5 PI)) (exp (* 1/3 (- (log (sqrt -6)) (log v))))))) (* (- (+ (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (* t (sqrt (/ -5 PI)))) (* 1/2 (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (* t (* (pow (sqrt (/ -5 PI)) 3) PI))))) (* 1/3 (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (* t (* (pow (sqrt -6) 2) (sqrt (/ -5 PI))))))) (/ 0 (/ (sqrt (/ -5 PI)) (exp (* 1/3 (- (log (sqrt -6)) (log v))))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -1 (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (* t (sqrt (/ -5 PI)))))) (+ (* (* -1 (/ (* t (pow (sqrt (/ -5 PI)) 2)) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 3))) (/ 0 (* -1 (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (* t (sqrt (/ -5 PI))))))) (* 0 (/ (- (+ (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (* t (sqrt (/ -5 PI)))) (* 1/2 (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (* t (* (pow (sqrt (/ -5 PI)) 3) PI))))) (* 1/3 (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (* t (* (pow (sqrt -6) 2) (sqrt (/ -5 PI))))))) (* -1 (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (* t (sqrt (/ -5 PI))))))) (* (- (/ (* t (pow (sqrt (/ -5 PI)) 2)) (* (pow (sqrt -6) 2) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 3))) (+ (/ t (* PI (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 3))) (/ (* t (pow (sqrt (/ -5 PI)) 2)) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 3)))) (/ 0 (* -1 (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (* t (sqrt (/ -5 PI))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -5 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -5 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (/ -5 PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (/ -5 PI)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (sqrt (/ -5 PI)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt (/ -5 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow (sqrt (/ -5 PI)) 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt -6) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow v 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (sqrt -6)) (log v)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (* 1/3 (- (log (sqrt -6)) (log v))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (sqrt -6)) (log v))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt -6) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (sqrt -6)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt -6)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (sqrt -6) 2) 0) (* 0 (exp (- (log (sqrt -6)) (log v))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (pow (sqrt -6) 2) (exp (- (log (sqrt -6)) (log v))))) (+ (* (/ (pow (sqrt (/ -5 PI)) 2) (* (pow (sqrt -6) 2) (exp (- (log (sqrt -6)) (log v))))) (/ 0 (* (pow (sqrt -6) 2) (exp (- (log (sqrt -6)) (log v)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt -6) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow v 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (sqrt -6)) (log v)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (* 1/3 (- (log (sqrt -6)) (log v))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (sqrt -6)) (log v))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (exp (- (log (sqrt -6)) (log v))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* PI (exp (- (log (sqrt -6)) (log v))))) (+ (* (/ 1 (* PI (exp (- (log (sqrt -6)) (log v))))) (/ 0 (* PI (exp (- (log (sqrt -6)) (log v)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -5 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -5 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (/ -5 PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (/ -5 PI)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (sqrt (/ -5 PI)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt (/ -5 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow (sqrt (/ -5 PI)) 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt -6) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow v 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (sqrt -6)) (log v)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (* 1/3 (- (log (sqrt -6)) (log v))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (sqrt -6)) (log v))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (- (log (sqrt -6)) (log v)))) (+ (* (/ (pow (sqrt (/ -5 PI)) 2) (exp (- (log (sqrt -6)) (log v)))) (/ 0 (exp (- (log (sqrt -6)) (log v))))))) into 0 * [misc]backup-simplify: Simplify (+ 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 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -5 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ -5 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt (/ -5 PI)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt (/ -5 PI)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt (/ -5 PI)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt (/ -5 PI)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt (/ -5 PI)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt (/ -5 PI)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt (/ -5 PI))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt (/ -5 PI)) 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt -6) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt -6) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt -6) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow v 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow v 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow v 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (sqrt -6)) (log v)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (sqrt -6)) (log v))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (sqrt -6)) (log v))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (- (log (sqrt -6)) (log v)))) (+ (* (/ (pow (sqrt (/ -5 PI)) 2) (exp (- (log (sqrt -6)) (log v)))) (/ 0 (exp (- (log (sqrt -6)) (log v))))) (* 0 (/ 0 (exp (- (log (sqrt -6)) (log v))))) (* 0 (/ 0 (exp (- (log (sqrt -6)) (log v))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow (sqrt (/ -5 PI)) 2) (exp (- (log (sqrt -6)) (log v)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- (/ (pow (sqrt (/ -5 PI)) 2) (* (pow (sqrt -6) 2) (exp (- (log (sqrt -6)) (log (/ 1 v)))))) (+ (/ (pow (sqrt (/ -5 PI)) 2) (exp (- (log (sqrt -6)) (log (/ 1 v))))) (/ 1 (* PI (exp (- (log (sqrt -6)) (log (/ 1 v)))))))) (* (/ 1 t) (pow (/ 1 v) 2))) (* (* -1 (/ (pow (sqrt (/ -5 PI)) 2) (exp (- (log (sqrt -6)) (log (/ 1 v)))))) (* (/ 1 t) 1))) into (- (/ (pow (sqrt (/ -5 PI)) 2) (* t (* (exp (- (log (sqrt -6)) (log (/ 1 v)))) (* (pow v 2) (pow (sqrt -6) 2))))) (+ (/ (pow (sqrt (/ -5 PI)) 2) (* t (* (exp (- (log (sqrt -6)) (log (/ 1 v)))) (pow v 2)))) (+ (/ 1 (* t (* (exp (- (log (sqrt -6)) (log (/ 1 v)))) (* (pow v 2) PI)))) (/ (pow (sqrt (/ -5 PI)) 2) (* t (exp (- (log (sqrt -6)) (log (/ 1 v))))))))) * [misc]approximate: Taking taylor expansion of (/ (/ (sqrt (/ (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))))) (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))))))) (/ (* (/ 1 (- t)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (/ (sqrt (/ (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))))))) in (v t) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (sqrt (/ (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))))) (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))))))) (/ (* (/ 1 (- t)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (/ (sqrt (/ (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))))))) in t * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))))) (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))))))) in t * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) PI)) in t * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) PI) in t * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) (/ 1 (- v))) 5) in t * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in t * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in t * [misc]taylor: Taking taylor expansion of (- v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (/ 1 (- v)) into (/ -1 v) * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in t * [misc]taylor: Taking taylor expansion of (- v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (/ 1 (- v)) into (/ -1 v) * [misc]taylor: Taking taylor expansion of 5 in t * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (/ -1 v) (/ -1 v)) into (/ 1 (pow v 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow v 2)) 5) into (/ 5 (pow v 2)) * [misc]backup-simplify: Simplify (- (/ 5 (pow v 2))) into (- (* 5 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (+ 1 (- (* 5 (/ 1 (pow v 2))))) into (- 1 (* 5 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (/ (- 1 (* 5 (/ 1 (pow v 2)))) PI) into (/ (- 1 (* 5 (/ 1 (pow v 2)))) PI) * [misc]backup-simplify: Simplify (sqrt (/ (- 1 (* 5 (/ 1 (pow v 2)))) PI)) into (sqrt (/ (- 1 (* 5 (/ 1 (pow v 2)))) PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 v) (/ 0 (- v))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 v) (/ 0 (- v))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 v) 0) (* 0 (/ -1 v))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow v 2)) 0) (* 0 5)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (- 1 (* 5 (/ 1 (pow v 2)))) PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (- 1 (* 5 (/ 1 (pow v 2)))) PI)))) into 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))))) (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))))) in t * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))))) in t * [misc]taylor: Rewrote expression to (pow (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))))))) in t * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))))) in t * [misc]taylor: Taking taylor expansion of 1/3 in t * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))))) in t * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))) in t * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) 3) (/ 1 (- v))) in t * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) 3) in t * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in t * [misc]taylor: Taking taylor expansion of (- v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (/ 1 (- v)) into (/ -1 v) * [misc]taylor: Taking taylor expansion of 3 in t * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in t * [misc]taylor: Taking taylor expansion of (- v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (/ 1 (- v)) into (/ -1 v) * [misc]backup-simplify: Simplify (* (/ -1 v) 3) into (/ -3 v) * [misc]backup-simplify: Simplify (* (/ -3 v) (/ -1 v)) into (/ 3 (pow v 2)) * [misc]backup-simplify: Simplify (- (/ 3 (pow v 2))) into (- (* 3 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (+ 1 (- (* 3 (/ 1 (pow v 2))))) into (- 1 (* 3 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (* 2 (- 1 (* 3 (/ 1 (pow v 2))))) into (* 2 (- 1 (* 3 (/ 1 (pow v 2))))) * [misc]backup-simplify: Simplify (sqrt (* 2 (- 1 (* 3 (/ 1 (pow v 2)))))) into (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 v) (/ 0 (- v))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 v) (/ 0 (- v))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 v) 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -3 v) 0) (* 0 (/ -1 v))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- 1 (* 3 (/ 1 (pow v 2)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 2 (- 1 (* 3 (/ 1 (pow v 2)))))))) into 0 * [misc]backup-simplify: Simplify (log (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) into (log (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))))) into (* 1/3 (log (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))))) into (pow (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))))) in t * [misc]taylor: Rewrote expression to (pow (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))))))) in t * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))))) in t * [misc]taylor: Taking taylor expansion of 1/3 in t * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))))) in t * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))) in t * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) 3) (/ 1 (- v))) in t * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) 3) in t * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in t * [misc]taylor: Taking taylor expansion of (- v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (/ 1 (- v)) into (/ -1 v) * [misc]taylor: Taking taylor expansion of 3 in t * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in t * [misc]taylor: Taking taylor expansion of (- v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (/ 1 (- v)) into (/ -1 v) * [misc]backup-simplify: Simplify (* (/ -1 v) 3) into (/ -3 v) * [misc]backup-simplify: Simplify (* (/ -3 v) (/ -1 v)) into (/ 3 (pow v 2)) * [misc]backup-simplify: Simplify (- (/ 3 (pow v 2))) into (- (* 3 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (+ 1 (- (* 3 (/ 1 (pow v 2))))) into (- 1 (* 3 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (* 2 (- 1 (* 3 (/ 1 (pow v 2))))) into (* 2 (- 1 (* 3 (/ 1 (pow v 2))))) * [misc]backup-simplify: Simplify (sqrt (* 2 (- 1 (* 3 (/ 1 (pow v 2)))))) into (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 v) (/ 0 (- v))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 v) (/ 0 (- v))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 v) 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -3 v) 0) (* 0 (/ -1 v))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- 1 (* 3 (/ 1 (pow v 2)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 2 (- 1 (* 3 (/ 1 (pow v 2)))))))) into 0 * [misc]backup-simplify: Simplify (log (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) into (log (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))))) into (* 1/3 (log (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))))) into (pow (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))) 1/3) * [misc]backup-simplify: Simplify (* (pow (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))) 1/3) (pow (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))) 1/3)) into (pow (* (pow (sqrt 2) 2) (- 1 (* 3 (/ 1 (pow v 2))))) 1/3) * [misc]backup-simplify: Simplify (/ (sqrt (/ (- 1 (* 5 (/ 1 (pow v 2)))) PI)) (pow (* (pow (sqrt 2) 2) (- 1 (* 3 (/ 1 (pow v 2))))) 1/3)) into (* (pow (/ 1 (* (pow (sqrt 2) 2) (- 1 (* 3 (/ 1 (pow v 2)))))) 1/3) (sqrt (/ (- 1 (* 5 (/ 1 (pow v 2)))) PI))) * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- t)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (/ (sqrt (/ (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))))))) in t * [misc]taylor: Taking taylor expansion of (* (/ 1 (- t)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in t * [misc]taylor: Taking taylor expansion of (/ 1 (- t)) in t * [misc]taylor: Taking taylor expansion of (- t) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in t * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in t * [misc]taylor: Taking taylor expansion of (- v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (/ 1 (- v)) into (/ -1 v) * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in t * [misc]taylor: Taking taylor expansion of (- v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (/ 1 (- v)) into (/ -1 v) * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))))) in t * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) PI)) in t * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) PI) in t * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) (/ 1 (- v))) 5) in t * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in t * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in t * [misc]taylor: Taking taylor expansion of (- v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (/ 1 (- v)) into (/ -1 v) * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in t * [misc]taylor: Taking taylor expansion of (- v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (/ 1 (- v)) into (/ -1 v) * [misc]taylor: Taking taylor expansion of 5 in t * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (/ -1 v) (/ -1 v)) into (/ 1 (pow v 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow v 2)) 5) into (/ 5 (pow v 2)) * [misc]backup-simplify: Simplify (- (/ 5 (pow v 2))) into (- (* 5 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (+ 1 (- (* 5 (/ 1 (pow v 2))))) into (- 1 (* 5 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (/ (- 1 (* 5 (/ 1 (pow v 2)))) PI) into (/ (- 1 (* 5 (/ 1 (pow v 2)))) PI) * [misc]backup-simplify: Simplify (sqrt (/ (- 1 (* 5 (/ 1 (pow v 2)))) PI)) into (sqrt (/ (- 1 (* 5 (/ 1 (pow v 2)))) PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 v) (/ 0 (- v))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 v) (/ 0 (- v))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 v) 0) (* 0 (/ -1 v))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow v 2)) 0) (* 0 5)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (- 1 (* 5 (/ 1 (pow v 2)))) PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (- 1 (* 5 (/ 1 (pow v 2)))) PI)))) into 0 * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))))) in t * [misc]taylor: Rewrote expression to (pow (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))))))) in t * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))))) in t * [misc]taylor: Taking taylor expansion of 1/3 in t * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))))) in t * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))) in t * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) 3) (/ 1 (- v))) in t * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) 3) in t * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in t * [misc]taylor: Taking taylor expansion of (- v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (/ 1 (- v)) into (/ -1 v) * [misc]taylor: Taking taylor expansion of 3 in t * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in t * [misc]taylor: Taking taylor expansion of (- v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (/ 1 (- v)) into (/ -1 v) * [misc]backup-simplify: Simplify (* (/ -1 v) 3) into (/ -3 v) * [misc]backup-simplify: Simplify (* (/ -3 v) (/ -1 v)) into (/ 3 (pow v 2)) * [misc]backup-simplify: Simplify (- (/ 3 (pow v 2))) into (- (* 3 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (+ 1 (- (* 3 (/ 1 (pow v 2))))) into (- 1 (* 3 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (* 2 (- 1 (* 3 (/ 1 (pow v 2))))) into (* 2 (- 1 (* 3 (/ 1 (pow v 2))))) * [misc]backup-simplify: Simplify (sqrt (* 2 (- 1 (* 3 (/ 1 (pow v 2)))))) into (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 v) (/ 0 (- v))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- v) into (- v) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 v) (/ 0 (- v))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 v) 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -3 v) 0) (* 0 (/ -1 v))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- 1 (* 3 (/ 1 (pow v 2)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 2 (- 1 (* 3 (/ 1 (pow v 2)))))))) into 0 * [misc]backup-simplify: Simplify (log (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) into (log (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))))) into (* 1/3 (log (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))))) into (pow (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))) 1/3) * [misc]backup-simplify: Simplify (/ (sqrt (/ (- 1 (* 5 (/ 1 (pow v 2)))) PI)) (pow (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))) 1/3)) into (* (pow (/ 1 (sqrt 2)) 1/3) (* (pow (/ 1 (- 1 (* 3 (/ 1 (pow v 2))))) 1/6) (sqrt (/ (- 1 (* 5 (/ 1 (pow v 2)))) PI)))) * [misc]backup-simplify: Simplify (* (/ -1 v) (/ -1 v)) into (/ 1 (pow v 2)) * [misc]backup-simplify: Simplify (- (/ 1 (pow v 2))) into (- (/ 1 (pow v 2))) * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 (pow v 2)))) into (- 1 (/ 1 (pow v 2))) * [misc]backup-simplify: Simplify (* -1 (- 1 (/ 1 (pow v 2)))) into (* -1 (- 1 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (/ (* -1 (- 1 (/ 1 (pow v 2)))) (* (pow (/ 1 (sqrt 2)) 1/3) (* (pow (/ 1 (- 1 (* 3 (/ 1 (pow v 2))))) 1/6) (sqrt (/ (- 1 (* 5 (/ 1 (pow v 2)))) PI))))) into (* -1 (* (pow (sqrt 2) 1/3) (* (pow (- 1 (* 3 (/ 1 (pow v 2)))) 1/6) (* (- 1 (/ 1 (pow v 2))) (sqrt (/ PI (- 1 (* 5 (/ 1 (pow v 2)))))))))) * [misc]backup-simplify: Simplify (/ (* (pow (/ 1 (* (pow (sqrt 2) 2) (- 1 (* 3 (/ 1 (pow v 2)))))) 1/3) (sqrt (/ (- 1 (* 5 (/ 1 (pow v 2)))) PI))) (* -1 (* (pow (sqrt 2) 1/3) (* (pow (- 1 (* 3 (/ 1 (pow v 2)))) 1/6) (* (- 1 (/ 1 (pow v 2))) (sqrt (/ PI (- 1 (* 5 (/ 1 (pow v 2))))))))))) into (* -1 (* (/ (- 1 (* 5 (/ 1 (pow v 2)))) (* (sqrt 2) (* (- 1 (/ 1 (pow v 2))) PI))) (sqrt (/ 1 (- 1 (* 3 (/ 1 (pow v 2)))))))) * [misc]taylor: Taking taylor expansion of (/ (/ (sqrt (/ (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))))) (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))))))) (/ (* (/ 1 (- t)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (/ (sqrt (/ (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))))))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))))) (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) PI)) in v * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) PI) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) (/ 1 (- v))) 5) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 5) into 5 * [misc]backup-simplify: Simplify (- 5) into -5 * [misc]backup-simplify: Simplify (+ 0 -5) into -5 * [misc]backup-simplify: Simplify (/ -5 PI) into (/ -5 PI) * [misc]backup-simplify: Simplify (sqrt (/ -5 PI)) into (sqrt (/ -5 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 5)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -5 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -5 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))))) (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))))) in v * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))))) in v * [misc]taylor: Rewrote expression to (pow (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) 3) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) 3) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 3) into -3 * [misc]backup-simplify: Simplify (* -3 -1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* 2 -3) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -3)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (log (sqrt -6)) into (log (sqrt -6)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log v)) (log (sqrt -6))) into (- (log (sqrt -6)) (log v)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (sqrt -6)) (log v))) into (* 1/3 (- (log (sqrt -6)) (log v))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (sqrt -6)) (log v)))) into (exp (* 1/3 (- (log (sqrt -6)) (log v)))) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))))) in v * [misc]taylor: Rewrote expression to (pow (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) 3) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) 3) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 3) into -3 * [misc]backup-simplify: Simplify (* -3 -1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* 2 -3) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -3)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (log (sqrt -6)) into (log (sqrt -6)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log v)) (log (sqrt -6))) into (- (log (sqrt -6)) (log v)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (sqrt -6)) (log v))) into (* 1/3 (- (log (sqrt -6)) (log v))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (sqrt -6)) (log v)))) into (exp (* 1/3 (- (log (sqrt -6)) (log v)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (exp (* 1/3 (- (log (sqrt -6)) (log v))))) into (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2) * [misc]backup-simplify: Simplify (/ (sqrt (/ -5 PI)) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2)) into (/ (sqrt (/ -5 PI)) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2)) * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- t)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (/ (sqrt (/ (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))))))) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- t)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- t)) in v * [misc]taylor: Taking taylor expansion of (- t) in v * [misc]taylor: Taking taylor expansion of t in v * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (/ 1 (- t)) into (/ -1 t) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) PI)) in v * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) PI) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) (/ 1 (- v))) 5) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 5) into 5 * [misc]backup-simplify: Simplify (- 5) into -5 * [misc]backup-simplify: Simplify (+ 0 -5) into -5 * [misc]backup-simplify: Simplify (/ -5 PI) into (/ -5 PI) * [misc]backup-simplify: Simplify (sqrt (/ -5 PI)) into (sqrt (/ -5 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 5)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -5 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -5 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))))) in v * [misc]taylor: Rewrote expression to (pow (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) 3) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) 3) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 3) into -3 * [misc]backup-simplify: Simplify (* -3 -1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* 2 -3) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -3)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (log (sqrt -6)) into (log (sqrt -6)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log v)) (log (sqrt -6))) into (- (log (sqrt -6)) (log v)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (sqrt -6)) (log v))) into (* 1/3 (- (log (sqrt -6)) (log v))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (sqrt -6)) (log v)))) into (exp (* 1/3 (- (log (sqrt -6)) (log v)))) * [misc]backup-simplify: Simplify (/ (sqrt (/ -5 PI)) (exp (* 1/3 (- (log (sqrt -6)) (log v))))) into (/ (sqrt (/ -5 PI)) (exp (* 1/3 (- (log (sqrt -6)) (log v))))) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 t) -1) into (/ 1 t) * [misc]backup-simplify: Simplify (/ (/ 1 t) (/ (sqrt (/ -5 PI)) (exp (* 1/3 (- (log (sqrt -6)) (log v)))))) into (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (* t (sqrt (/ -5 PI)))) * [misc]backup-simplify: Simplify (/ (/ (sqrt (/ -5 PI)) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2)) (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (* t (sqrt (/ -5 PI))))) into (/ (* t (pow (sqrt (/ -5 PI)) 2)) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 3)) * [misc]taylor: Taking taylor expansion of (/ (/ (sqrt (/ (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))))) (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))))))) (/ (* (/ 1 (- t)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (/ (sqrt (/ (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))))))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))))) (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) PI)) in v * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) PI) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) (/ 1 (- v))) 5) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 5) into 5 * [misc]backup-simplify: Simplify (- 5) into -5 * [misc]backup-simplify: Simplify (+ 0 -5) into -5 * [misc]backup-simplify: Simplify (/ -5 PI) into (/ -5 PI) * [misc]backup-simplify: Simplify (sqrt (/ -5 PI)) into (sqrt (/ -5 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 5)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -5 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -5 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))))) (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))))) in v * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))))) in v * [misc]taylor: Rewrote expression to (pow (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) 3) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) 3) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 3) into -3 * [misc]backup-simplify: Simplify (* -3 -1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* 2 -3) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -3)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (log (sqrt -6)) into (log (sqrt -6)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log v)) (log (sqrt -6))) into (- (log (sqrt -6)) (log v)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (sqrt -6)) (log v))) into (* 1/3 (- (log (sqrt -6)) (log v))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (sqrt -6)) (log v)))) into (exp (* 1/3 (- (log (sqrt -6)) (log v)))) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))))) in v * [misc]taylor: Rewrote expression to (pow (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) 3) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) 3) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 3) into -3 * [misc]backup-simplify: Simplify (* -3 -1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* 2 -3) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -3)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (log (sqrt -6)) into (log (sqrt -6)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log v)) (log (sqrt -6))) into (- (log (sqrt -6)) (log v)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (sqrt -6)) (log v))) into (* 1/3 (- (log (sqrt -6)) (log v))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (sqrt -6)) (log v)))) into (exp (* 1/3 (- (log (sqrt -6)) (log v)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (exp (* 1/3 (- (log (sqrt -6)) (log v))))) into (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2) * [misc]backup-simplify: Simplify (/ (sqrt (/ -5 PI)) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2)) into (/ (sqrt (/ -5 PI)) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2)) * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- t)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (/ (sqrt (/ (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))))))) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- t)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- t)) in v * [misc]taylor: Taking taylor expansion of (- t) in v * [misc]taylor: Taking taylor expansion of t in v * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (/ 1 (- t)) into (/ -1 t) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) PI)) in v * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) PI) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 5)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) (/ 1 (- v))) 5) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 5) into 5 * [misc]backup-simplify: Simplify (- 5) into -5 * [misc]backup-simplify: Simplify (+ 0 -5) into -5 * [misc]backup-simplify: Simplify (/ -5 PI) into (/ -5 PI) * [misc]backup-simplify: Simplify (sqrt (/ -5 PI)) into (sqrt (/ -5 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 5)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -5 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -5 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))))) in v * [misc]taylor: Rewrote expression to (pow (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (* 2 (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- v)) 3) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) 3) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) 3) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 3) into -3 * [misc]backup-simplify: Simplify (* -3 -1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* 2 -3) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -3)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (log (sqrt -6)) into (log (sqrt -6)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log v)) (log (sqrt -6))) into (- (log (sqrt -6)) (log v)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (sqrt -6)) (log v))) into (* 1/3 (- (log (sqrt -6)) (log v))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (sqrt -6)) (log v)))) into (exp (* 1/3 (- (log (sqrt -6)) (log v)))) * [misc]backup-simplify: Simplify (/ (sqrt (/ -5 PI)) (exp (* 1/3 (- (log (sqrt -6)) (log v))))) into (/ (sqrt (/ -5 PI)) (exp (* 1/3 (- (log (sqrt -6)) (log v))))) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 t) -1) into (/ 1 t) * [misc]backup-simplify: Simplify (/ (/ 1 t) (/ (sqrt (/ -5 PI)) (exp (* 1/3 (- (log (sqrt -6)) (log v)))))) into (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (* t (sqrt (/ -5 PI)))) * [misc]backup-simplify: Simplify (/ (/ (sqrt (/ -5 PI)) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2)) (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (* t (sqrt (/ -5 PI))))) into (/ (* t (pow (sqrt (/ -5 PI)) 2)) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 3)) * [misc]taylor: Taking taylor expansion of (/ (* t (pow (sqrt (/ -5 PI)) 2)) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 3)) in t * [misc]taylor: Taking taylor expansion of (* t (pow (sqrt (/ -5 PI)) 2)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (sqrt (/ -5 PI)) 2) in t * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (sqrt (/ -5 PI))))) in t * [misc]taylor: Taking taylor expansion of (* 2 (log (sqrt (/ -5 PI)))) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (sqrt (/ -5 PI))) in t * [misc]taylor: Taking taylor expansion of (sqrt (/ -5 PI)) in t * [misc]taylor: Taking taylor expansion of (/ -5 PI) in t * [misc]taylor: Taking taylor expansion of -5 in t * [misc]backup-simplify: Simplify -5 into -5 * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ -5 PI) into (/ -5 PI) * [misc]backup-simplify: Simplify (sqrt (/ -5 PI)) into (sqrt (/ -5 PI)) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -5 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -5 PI)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (/ -5 PI))) into (log (sqrt (/ -5 PI))) * [misc]backup-simplify: Simplify (* 2 (log (sqrt (/ -5 PI)))) into (* 2 (log (sqrt (/ -5 PI)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (sqrt (/ -5 PI))))) into (pow (sqrt (/ -5 PI)) 2) * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 3) in t * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (exp (* 1/3 (- (log (sqrt -6)) (log v))))))) in t * [misc]taylor: Taking taylor expansion of (* 3 (log (exp (* 1/3 (- (log (sqrt -6)) (log v)))))) in t * [misc]taylor: Taking taylor expansion of 3 in t * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (exp (* 1/3 (- (log (sqrt -6)) (log v))))) in t * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (sqrt -6)) (log v)))) in t * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (sqrt -6)) (log v))) in t * [misc]taylor: Taking taylor expansion of 1/3 in t * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (sqrt -6)) (log v)) in t * [misc]taylor: Taking taylor expansion of (log (sqrt -6)) in t * [misc]taylor: Taking taylor expansion of (sqrt -6) in t * [misc]taylor: Taking taylor expansion of -6 in t * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (log (sqrt -6)) into (log (sqrt -6)) * [misc]taylor: Taking taylor expansion of (log v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (log v) into (log v) * [misc]backup-simplify: Simplify (- (log v)) into (- (log v)) * [misc]backup-simplify: Simplify (+ (log (sqrt -6)) (- (log v))) into (- (log (sqrt -6)) (log v)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (sqrt -6)) (log v))) into (* 1/3 (- (log (sqrt -6)) (log v))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (sqrt -6)) (log v)))) into (exp (* 1/3 (- (log (sqrt -6)) (log v)))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log (sqrt -6)) (log v))))) into (* 1/3 (- (log (sqrt -6)) (log v))) * [misc]backup-simplify: Simplify (* 3 (* 1/3 (- (log (sqrt -6)) (log v)))) into (- (log (sqrt -6)) (log v)) * [misc]backup-simplify: Simplify (exp (- (log (sqrt -6)) (log v))) into (exp (- (log (sqrt -6)) (log v))) * [misc]backup-simplify: Simplify (* 0 (pow (sqrt (/ -5 PI)) 2)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (/ -5 PI)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (sqrt (/ -5 PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt (/ -5 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (pow (sqrt (/ -5 PI)) 2))) into (pow (sqrt (/ -5 PI)) 2) * [misc]backup-simplify: Simplify (/ (pow (sqrt (/ -5 PI)) 2) (exp (- (log (sqrt -6)) (log v)))) into (/ (pow (sqrt (/ -5 PI)) 2) (exp (- (log (sqrt -6)) (log v)))) * [misc]backup-simplify: Simplify (/ (pow (sqrt (/ -5 PI)) 2) (exp (- (log (sqrt -6)) (log v)))) into (/ (pow (sqrt (/ -5 PI)) 2) (exp (- (log (sqrt -6)) (log v)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt -6) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log v)) (log (sqrt -6))) into (- (log (sqrt -6)) (log v)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (sqrt -6)) (log v)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt -6) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log v)) (log (sqrt -6))) into (- (log (sqrt -6)) (log v)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (sqrt -6)) (log v)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 0) (* 0 (exp (* 1/3 (- (log (sqrt -6)) (log v)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2)) (+ (* (/ (sqrt (/ -5 PI)) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2)) (/ 0 (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 t) (/ 0 (- t))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 t) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt -6) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log v)) (log (sqrt -6))) into (- (log (sqrt -6)) (log v)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (sqrt -6)) (log v)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/3 (- (log (sqrt -6)) (log v))))) (+ (* (/ (sqrt (/ -5 PI)) (exp (* 1/3 (- (log (sqrt -6)) (log v))))) (/ 0 (exp (* 1/3 (- (log (sqrt -6)) (log v)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ (sqrt (/ -5 PI)) (exp (* 1/3 (- (log (sqrt -6)) (log v)))))) (+ (* (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (* t (sqrt (/ -5 PI)))) (/ 0 (/ (sqrt (/ -5 PI)) (exp (* 1/3 (- (log (sqrt -6)) (log v))))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (* t (sqrt (/ -5 PI))))) (+ (* (/ (* t (pow (sqrt (/ -5 PI)) 2)) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 3)) (/ 0 (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (* t (sqrt (/ -5 PI)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -5 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -5 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (/ -5 PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (/ -5 PI)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (sqrt (/ -5 PI)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt (/ -5 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow (sqrt (/ -5 PI)) 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt -6) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow v 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (sqrt -6)) (log v)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (* 1/3 (- (log (sqrt -6)) (log v))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (sqrt -6)) (log v))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (- (log (sqrt -6)) (log v)))) (+ (* (/ (pow (sqrt (/ -5 PI)) 2) (exp (- (log (sqrt -6)) (log v)))) (/ 0 (exp (- (log (sqrt -6)) (log v))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 5))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 PI) (+ (* (/ -5 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into (/ 1 PI) * [misc]backup-simplify: Simplify (/ (- (/ 1 PI) (pow 0 2) (+)) (* 2 (sqrt (/ -5 PI)))) into (/ 1/2 (* (sqrt (/ -5 PI)) PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 2 1) (+ (* 0 0) (* 0 -3))) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt -6) 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (sqrt -6))) 1)) (pow (sqrt -6) 1)))) 2) into (/ 1 (pow (sqrt -6) 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log v)) (log (sqrt -6))) into (- (log (sqrt -6)) (log v)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 (pow (sqrt -6) 2))) (+ (* 0 0) (* 0 (- (log (sqrt -6)) (log v))))) into (* 1/3 (/ 1 (pow (sqrt -6) 2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow (sqrt -6) 2))) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (pow (sqrt -6) 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 2 1) (+ (* 0 0) (* 0 -3))) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt -6) 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (sqrt -6))) 1)) (pow (sqrt -6) 1)))) 2) into (/ 1 (pow (sqrt -6) 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log v)) (log (sqrt -6))) into (- (log (sqrt -6)) (log v)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 (pow (sqrt -6) 2))) (+ (* 0 0) (* 0 (- (log (sqrt -6)) (log v))))) into (* 1/3 (/ 1 (pow (sqrt -6) 2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow (sqrt -6) 2))) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (pow (sqrt -6) 2))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (* 1/3 (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (pow (sqrt -6) 2)))) (+ (* 0 0) (* (* 1/3 (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (pow (sqrt -6) 2))) (exp (* 1/3 (- (log (sqrt -6)) (log v))))))) into (* 2/3 (/ (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2) (pow (sqrt -6) 2))) * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (* (sqrt (/ -5 PI)) PI)) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2)) (+ (* (/ (sqrt (/ -5 PI)) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2)) (/ (* 2/3 (/ (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2) (pow (sqrt -6) 2))) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2))) (* 0 (/ 0 (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2))))) into (- (* 1/2 (/ 1 (* (sqrt (/ -5 PI)) (* PI (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2))))) (* 2/3 (/ (sqrt (/ -5 PI)) (* (pow (sqrt -6) 2) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 t) (/ 0 (- t))) (* 0 (/ 0 (- t))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 t) 1) (+ (* 0 0) (* 0 -1))) into (- (/ 1 t)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 5))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 PI) (+ (* (/ -5 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into (/ 1 PI) * [misc]backup-simplify: Simplify (/ (- (/ 1 PI) (pow 0 2) (+)) (* 2 (sqrt (/ -5 PI)))) into (/ 1/2 (* (sqrt (/ -5 PI)) PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 2 1) (+ (* 0 0) (* 0 -3))) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt -6) 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (sqrt -6))) 1)) (pow (sqrt -6) 1)))) 2) into (/ 1 (pow (sqrt -6) 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log v)) (log (sqrt -6))) into (- (log (sqrt -6)) (log v)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 (pow (sqrt -6) 2))) (+ (* 0 0) (* 0 (- (log (sqrt -6)) (log v))))) into (* 1/3 (/ 1 (pow (sqrt -6) 2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow (sqrt -6) 2))) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (pow (sqrt -6) 2))) * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (* (sqrt (/ -5 PI)) PI)) (exp (* 1/3 (- (log (sqrt -6)) (log v))))) (+ (* (/ (sqrt (/ -5 PI)) (exp (* 1/3 (- (log (sqrt -6)) (log v))))) (/ (* 1/3 (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (pow (sqrt -6) 2))) (exp (* 1/3 (- (log (sqrt -6)) (log v)))))) (* 0 (/ 0 (exp (* 1/3 (- (log (sqrt -6)) (log v)))))))) into (- (* 1/2 (/ 1 (* (sqrt (/ -5 PI)) (* PI (exp (* 1/3 (- (log (sqrt -6)) (log v)))))))) (* 1/3 (/ (sqrt (/ -5 PI)) (* (pow (sqrt -6) 2) (exp (* 1/3 (- (log (sqrt -6)) (log v)))))))) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 t)) (/ (sqrt (/ -5 PI)) (exp (* 1/3 (- (log (sqrt -6)) (log v)))))) (+ (* (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (* t (sqrt (/ -5 PI)))) (/ (- (* 1/2 (/ 1 (* (sqrt (/ -5 PI)) (* PI (exp (* 1/3 (- (log (sqrt -6)) (log v)))))))) (* 1/3 (/ (sqrt (/ -5 PI)) (* (pow (sqrt -6) 2) (exp (* 1/3 (- (log (sqrt -6)) (log v)))))))) (/ (sqrt (/ -5 PI)) (exp (* 1/3 (- (log (sqrt -6)) (log v))))))) (* 0 (/ 0 (/ (sqrt (/ -5 PI)) (exp (* 1/3 (- (log (sqrt -6)) (log v))))))))) into (- (* 1/3 (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (* t (* (pow (sqrt -6) 2) (sqrt (/ -5 PI)))))) (+ (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (* t (sqrt (/ -5 PI)))) (* 1/2 (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (* t (* (pow (sqrt (/ -5 PI)) 3) PI)))))) * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 (/ 1 (* (sqrt (/ -5 PI)) (* PI (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2))))) (* 2/3 (/ (sqrt (/ -5 PI)) (* (pow (sqrt -6) 2) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2))))) (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (* t (sqrt (/ -5 PI))))) (+ (* (/ (* t (pow (sqrt (/ -5 PI)) 2)) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 3)) (/ (- (* 1/3 (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (* t (* (pow (sqrt -6) 2) (sqrt (/ -5 PI)))))) (+ (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (* t (sqrt (/ -5 PI)))) (* 1/2 (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (* t (* (pow (sqrt (/ -5 PI)) 3) PI)))))) (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (* t (sqrt (/ -5 PI)))))) (* 0 (/ 0 (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (* t (sqrt (/ -5 PI)))))))) into (- (+ (/ t (* PI (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 3))) (/ (* t (pow (sqrt (/ -5 PI)) 2)) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 3))) (/ (* t (pow (sqrt (/ -5 PI)) 2)) (* (pow (sqrt -6) 2) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 3)))) * [misc]taylor: Taking taylor expansion of (- (+ (/ t (* PI (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 3))) (/ (* t (pow (sqrt (/ -5 PI)) 2)) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 3))) (/ (* t (pow (sqrt (/ -5 PI)) 2)) (* (pow (sqrt -6) 2) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 3)))) in t * [misc]taylor: Taking taylor expansion of (+ (/ t (* PI (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 3))) (/ (* t (pow (sqrt (/ -5 PI)) 2)) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 3))) in t * [misc]taylor: Taking taylor expansion of (/ t (* PI (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 3))) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* PI (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 3)) in t * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 3) in t * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (exp (* 1/3 (- (log (sqrt -6)) (log v))))))) in t * [misc]taylor: Taking taylor expansion of (* 3 (log (exp (* 1/3 (- (log (sqrt -6)) (log v)))))) in t * [misc]taylor: Taking taylor expansion of 3 in t * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (exp (* 1/3 (- (log (sqrt -6)) (log v))))) in t * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (sqrt -6)) (log v)))) in t * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (sqrt -6)) (log v))) in t * [misc]taylor: Taking taylor expansion of 1/3 in t * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (sqrt -6)) (log v)) in t * [misc]taylor: Taking taylor expansion of (log (sqrt -6)) in t * [misc]taylor: Taking taylor expansion of (sqrt -6) in t * [misc]taylor: Taking taylor expansion of -6 in t * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (log (sqrt -6)) into (log (sqrt -6)) * [misc]taylor: Taking taylor expansion of (log v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (log v) into (log v) * [misc]backup-simplify: Simplify (- (log v)) into (- (log v)) * [misc]backup-simplify: Simplify (+ (log (sqrt -6)) (- (log v))) into (- (log (sqrt -6)) (log v)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (sqrt -6)) (log v))) into (* 1/3 (- (log (sqrt -6)) (log v))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (sqrt -6)) (log v)))) into (exp (* 1/3 (- (log (sqrt -6)) (log v)))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log (sqrt -6)) (log v))))) into (* 1/3 (- (log (sqrt -6)) (log v))) * [misc]backup-simplify: Simplify (* 3 (* 1/3 (- (log (sqrt -6)) (log v)))) into (- (log (sqrt -6)) (log v)) * [misc]backup-simplify: Simplify (exp (- (log (sqrt -6)) (log v))) into (exp (- (log (sqrt -6)) (log v))) * [misc]backup-simplify: Simplify (* PI (exp (- (log (sqrt -6)) (log v)))) into (* PI (exp (- (log (sqrt -6)) (log v)))) * [misc]backup-simplify: Simplify (/ 1 (* PI (exp (- (log (sqrt -6)) (log v))))) into (/ 1 (* PI (exp (- (log (sqrt -6)) (log v))))) * [misc]taylor: Taking taylor expansion of (/ (* t (pow (sqrt (/ -5 PI)) 2)) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 3)) in t * [misc]taylor: Taking taylor expansion of (* t (pow (sqrt (/ -5 PI)) 2)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (sqrt (/ -5 PI)) 2) in t * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (sqrt (/ -5 PI))))) in t * [misc]taylor: Taking taylor expansion of (* 2 (log (sqrt (/ -5 PI)))) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (sqrt (/ -5 PI))) in t * [misc]taylor: Taking taylor expansion of (sqrt (/ -5 PI)) in t * [misc]taylor: Taking taylor expansion of (/ -5 PI) in t * [misc]taylor: Taking taylor expansion of -5 in t * [misc]backup-simplify: Simplify -5 into -5 * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ -5 PI) into (/ -5 PI) * [misc]backup-simplify: Simplify (sqrt (/ -5 PI)) into (sqrt (/ -5 PI)) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -5 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -5 PI)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (/ -5 PI))) into (log (sqrt (/ -5 PI))) * [misc]backup-simplify: Simplify (* 2 (log (sqrt (/ -5 PI)))) into (* 2 (log (sqrt (/ -5 PI)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (sqrt (/ -5 PI))))) into (pow (sqrt (/ -5 PI)) 2) * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 3) in t * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (exp (* 1/3 (- (log (sqrt -6)) (log v))))))) in t * [misc]taylor: Taking taylor expansion of (* 3 (log (exp (* 1/3 (- (log (sqrt -6)) (log v)))))) in t * [misc]taylor: Taking taylor expansion of 3 in t * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (exp (* 1/3 (- (log (sqrt -6)) (log v))))) in t * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (sqrt -6)) (log v)))) in t * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (sqrt -6)) (log v))) in t * [misc]taylor: Taking taylor expansion of 1/3 in t * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (sqrt -6)) (log v)) in t * [misc]taylor: Taking taylor expansion of (log (sqrt -6)) in t * [misc]taylor: Taking taylor expansion of (sqrt -6) in t * [misc]taylor: Taking taylor expansion of -6 in t * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (log (sqrt -6)) into (log (sqrt -6)) * [misc]taylor: Taking taylor expansion of (log v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (log v) into (log v) * [misc]backup-simplify: Simplify (- (log v)) into (- (log v)) * [misc]backup-simplify: Simplify (+ (log (sqrt -6)) (- (log v))) into (- (log (sqrt -6)) (log v)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (sqrt -6)) (log v))) into (* 1/3 (- (log (sqrt -6)) (log v))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (sqrt -6)) (log v)))) into (exp (* 1/3 (- (log (sqrt -6)) (log v)))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log (sqrt -6)) (log v))))) into (* 1/3 (- (log (sqrt -6)) (log v))) * [misc]backup-simplify: Simplify (* 3 (* 1/3 (- (log (sqrt -6)) (log v)))) into (- (log (sqrt -6)) (log v)) * [misc]backup-simplify: Simplify (exp (- (log (sqrt -6)) (log v))) into (exp (- (log (sqrt -6)) (log v))) * [misc]backup-simplify: Simplify (* 0 (pow (sqrt (/ -5 PI)) 2)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (/ -5 PI)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (sqrt (/ -5 PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt (/ -5 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (pow (sqrt (/ -5 PI)) 2))) into (pow (sqrt (/ -5 PI)) 2) * [misc]backup-simplify: Simplify (/ (pow (sqrt (/ -5 PI)) 2) (exp (- (log (sqrt -6)) (log v)))) into (/ (pow (sqrt (/ -5 PI)) 2) (exp (- (log (sqrt -6)) (log v)))) * [misc]taylor: Taking taylor expansion of (/ (* t (pow (sqrt (/ -5 PI)) 2)) (* (pow (sqrt -6) 2) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 3))) in t * [misc]taylor: Taking taylor expansion of (* t (pow (sqrt (/ -5 PI)) 2)) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (sqrt (/ -5 PI)) 2) in t * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (sqrt (/ -5 PI))))) in t * [misc]taylor: Taking taylor expansion of (* 2 (log (sqrt (/ -5 PI)))) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (sqrt (/ -5 PI))) in t * [misc]taylor: Taking taylor expansion of (sqrt (/ -5 PI)) in t * [misc]taylor: Taking taylor expansion of (/ -5 PI) in t * [misc]taylor: Taking taylor expansion of -5 in t * [misc]backup-simplify: Simplify -5 into -5 * [misc]taylor: Taking taylor expansion of PI in t * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ -5 PI) into (/ -5 PI) * [misc]backup-simplify: Simplify (sqrt (/ -5 PI)) into (sqrt (/ -5 PI)) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -5 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -5 PI)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (/ -5 PI))) into (log (sqrt (/ -5 PI))) * [misc]backup-simplify: Simplify (* 2 (log (sqrt (/ -5 PI)))) into (* 2 (log (sqrt (/ -5 PI)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (sqrt (/ -5 PI))))) into (pow (sqrt (/ -5 PI)) 2) * [misc]taylor: Taking taylor expansion of (* (pow (sqrt -6) 2) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 3)) in t * [misc]taylor: Taking taylor expansion of (pow (sqrt -6) 2) in t * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (sqrt -6)))) in t * [misc]taylor: Taking taylor expansion of (* 2 (log (sqrt -6))) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (sqrt -6)) in t * [misc]taylor: Taking taylor expansion of (sqrt -6) in t * [misc]taylor: Taking taylor expansion of -6 in t * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (log (sqrt -6)) into (log (sqrt -6)) * [misc]backup-simplify: Simplify (* 2 (log (sqrt -6))) into (* 2 (log (sqrt -6))) * [misc]backup-simplify: Simplify (exp (* 2 (log (sqrt -6)))) into (pow (sqrt -6) 2) * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 3) in t * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (exp (* 1/3 (- (log (sqrt -6)) (log v))))))) in t * [misc]taylor: Taking taylor expansion of (* 3 (log (exp (* 1/3 (- (log (sqrt -6)) (log v)))))) in t * [misc]taylor: Taking taylor expansion of 3 in t * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (exp (* 1/3 (- (log (sqrt -6)) (log v))))) in t * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (sqrt -6)) (log v)))) in t * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (sqrt -6)) (log v))) in t * [misc]taylor: Taking taylor expansion of 1/3 in t * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (sqrt -6)) (log v)) in t * [misc]taylor: Taking taylor expansion of (log (sqrt -6)) in t * [misc]taylor: Taking taylor expansion of (sqrt -6) in t * [misc]taylor: Taking taylor expansion of -6 in t * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (log (sqrt -6)) into (log (sqrt -6)) * [misc]taylor: Taking taylor expansion of (log v) in t * [misc]taylor: Taking taylor expansion of v in t * [misc]backup-simplify: Simplify v into v * [misc]backup-simplify: Simplify (log v) into (log v) * [misc]backup-simplify: Simplify (- (log v)) into (- (log v)) * [misc]backup-simplify: Simplify (+ (log (sqrt -6)) (- (log v))) into (- (log (sqrt -6)) (log v)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (sqrt -6)) (log v))) into (* 1/3 (- (log (sqrt -6)) (log v))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (sqrt -6)) (log v)))) into (exp (* 1/3 (- (log (sqrt -6)) (log v)))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log (sqrt -6)) (log v))))) into (* 1/3 (- (log (sqrt -6)) (log v))) * [misc]backup-simplify: Simplify (* 3 (* 1/3 (- (log (sqrt -6)) (log v)))) into (- (log (sqrt -6)) (log v)) * [misc]backup-simplify: Simplify (exp (- (log (sqrt -6)) (log v))) into (exp (- (log (sqrt -6)) (log v))) * [misc]backup-simplify: Simplify (* 0 (pow (sqrt (/ -5 PI)) 2)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (/ -5 PI)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (sqrt (/ -5 PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt (/ -5 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (pow (sqrt (/ -5 PI)) 2))) into (pow (sqrt (/ -5 PI)) 2) * [misc]backup-simplify: Simplify (* (pow (sqrt -6) 2) (exp (- (log (sqrt -6)) (log v)))) into (* (pow (sqrt -6) 2) (exp (- (log (sqrt -6)) (log v)))) * [misc]backup-simplify: Simplify (/ (pow (sqrt (/ -5 PI)) 2) (* (pow (sqrt -6) 2) (exp (- (log (sqrt -6)) (log v))))) into (/ (pow (sqrt (/ -5 PI)) 2) (* (pow (sqrt -6) 2) (exp (- (log (sqrt -6)) (log v))))) * [misc]backup-simplify: Simplify (+ (/ 1 (* PI (exp (- (log (sqrt -6)) (log v))))) (/ (pow (sqrt (/ -5 PI)) 2) (exp (- (log (sqrt -6)) (log v))))) into (+ (/ 1 (* PI (exp (- (log (sqrt -6)) (log v))))) (/ (pow (sqrt (/ -5 PI)) 2) (exp (- (log (sqrt -6)) (log v))))) * [misc]backup-simplify: Simplify (- (/ (pow (sqrt (/ -5 PI)) 2) (* (pow (sqrt -6) 2) (exp (- (log (sqrt -6)) (log v)))))) into (- (/ (pow (sqrt (/ -5 PI)) 2) (* (pow (sqrt -6) 2) (exp (- (log (sqrt -6)) (log v)))))) * [misc]backup-simplify: Simplify (+ (+ (/ 1 (* PI (exp (- (log (sqrt -6)) (log v))))) (/ (pow (sqrt (/ -5 PI)) 2) (exp (- (log (sqrt -6)) (log v))))) (- (/ (pow (sqrt (/ -5 PI)) 2) (* (pow (sqrt -6) 2) (exp (- (log (sqrt -6)) (log v))))))) into (- (+ (/ 1 (* PI (exp (- (log (sqrt -6)) (log v))))) (/ (pow (sqrt (/ -5 PI)) 2) (exp (- (log (sqrt -6)) (log v))))) (/ (pow (sqrt (/ -5 PI)) 2) (* (pow (sqrt -6) 2) (exp (- (log (sqrt -6)) (log v)))))) * [misc]backup-simplify: Simplify (- (+ (/ 1 (* PI (exp (- (log (sqrt -6)) (log v))))) (/ (pow (sqrt (/ -5 PI)) 2) (exp (- (log (sqrt -6)) (log v))))) (/ (pow (sqrt (/ -5 PI)) 2) (* (pow (sqrt -6) 2) (exp (- (log (sqrt -6)) (log v)))))) into (- (+ (/ 1 (* PI (exp (- (log (sqrt -6)) (log v))))) (/ (pow (sqrt (/ -5 PI)) 2) (exp (- (log (sqrt -6)) (log v))))) (/ (pow (sqrt (/ -5 PI)) 2) (* (pow (sqrt -6) 2) (exp (- (log (sqrt -6)) (log v)))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -5 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ -5 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt (/ -5 PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt (/ -5 PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt (/ -5 PI)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt (/ -5 PI))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt (/ -5 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow (sqrt (/ -5 PI)) 2))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt -6) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt -6) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow v 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow v 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (sqrt -6)) (log v))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (sqrt -6)) (log v)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (sqrt -6)) (log v))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (- (log (sqrt -6)) (log v)))) (+ (* (/ (pow (sqrt (/ -5 PI)) 2) (exp (- (log (sqrt -6)) (log v)))) (/ 0 (exp (- (log (sqrt -6)) (log v))))) (* 0 (/ 0 (exp (- (log (sqrt -6)) (log v))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 5)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -5 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* (sqrt (/ -5 PI)) PI)))))) (* 2 (sqrt (/ -5 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (+ (* 0 0) (* 0 -3)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt -6) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (sqrt -6))) 1)) (pow (sqrt -6) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt -6) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log v)) (log (sqrt -6))) into (- (log (sqrt -6)) (log v)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow (sqrt -6) 2))) (+ (* 0 0) (* 0 (- (log (sqrt -6)) (log v)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow (sqrt -6) 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (+ (* 0 0) (* 0 -3)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt -6) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (sqrt -6))) 1)) (pow (sqrt -6) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt -6) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log v)) (log (sqrt -6))) into (- (log (sqrt -6)) (log v)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow (sqrt -6) 2))) (+ (* 0 0) (* 0 (- (log (sqrt -6)) (log v)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow (sqrt -6) 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 0) (+ (* 0 (* 1/3 (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (pow (sqrt -6) 2)))) (+ (* (* 1/3 (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (pow (sqrt -6) 2))) 0) (* 0 (exp (* 1/3 (- (log (sqrt -6)) (log v)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2)) (+ (* (/ (sqrt (/ -5 PI)) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2)) (/ 0 (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2))) (* 0 (/ (* 2/3 (/ (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2) (pow (sqrt -6) 2))) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2))) (* (- (* 1/2 (/ 1 (* (sqrt (/ -5 PI)) (* PI (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2))))) (* 2/3 (/ (sqrt (/ -5 PI)) (* (pow (sqrt -6) 2) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2))))) (/ 0 (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 t) (/ 0 (- t))) (* 0 (/ 0 (- t))) (* 0 (/ 0 (- t))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 t) 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 5)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -5 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* (sqrt (/ -5 PI)) PI)))))) (* 2 (sqrt (/ -5 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (+ (* 0 0) (* 0 -3)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt -6) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (sqrt -6))) 1)) (pow (sqrt -6) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt -6) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log v)) (log (sqrt -6))) into (- (log (sqrt -6)) (log v)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow (sqrt -6) 2))) (+ (* 0 0) (* 0 (- (log (sqrt -6)) (log v)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow (sqrt -6) 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/3 (- (log (sqrt -6)) (log v))))) (+ (* (/ (sqrt (/ -5 PI)) (exp (* 1/3 (- (log (sqrt -6)) (log v))))) (/ 0 (exp (* 1/3 (- (log (sqrt -6)) (log v)))))) (* 0 (/ (* 1/3 (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (pow (sqrt -6) 2))) (exp (* 1/3 (- (log (sqrt -6)) (log v)))))) (* (- (* 1/2 (/ 1 (* (sqrt (/ -5 PI)) (* PI (exp (* 1/3 (- (log (sqrt -6)) (log v)))))))) (* 1/3 (/ (sqrt (/ -5 PI)) (* (pow (sqrt -6) 2) (exp (* 1/3 (- (log (sqrt -6)) (log v)))))))) (/ 0 (exp (* 1/3 (- (log (sqrt -6)) (log v)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ (sqrt (/ -5 PI)) (exp (* 1/3 (- (log (sqrt -6)) (log v)))))) (+ (* (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (* t (sqrt (/ -5 PI)))) (/ 0 (/ (sqrt (/ -5 PI)) (exp (* 1/3 (- (log (sqrt -6)) (log v))))))) (* 0 (/ (- (* 1/2 (/ 1 (* (sqrt (/ -5 PI)) (* PI (exp (* 1/3 (- (log (sqrt -6)) (log v)))))))) (* 1/3 (/ (sqrt (/ -5 PI)) (* (pow (sqrt -6) 2) (exp (* 1/3 (- (log (sqrt -6)) (log v)))))))) (/ (sqrt (/ -5 PI)) (exp (* 1/3 (- (log (sqrt -6)) (log v))))))) (* (- (* 1/3 (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (* t (* (pow (sqrt -6) 2) (sqrt (/ -5 PI)))))) (+ (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (* t (sqrt (/ -5 PI)))) (* 1/2 (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (* t (* (pow (sqrt (/ -5 PI)) 3) PI)))))) (/ 0 (/ (sqrt (/ -5 PI)) (exp (* 1/3 (- (log (sqrt -6)) (log v))))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (* t (sqrt (/ -5 PI))))) (+ (* (/ (* t (pow (sqrt (/ -5 PI)) 2)) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 3)) (/ 0 (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (* t (sqrt (/ -5 PI)))))) (* 0 (/ (- (* 1/3 (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (* t (* (pow (sqrt -6) 2) (sqrt (/ -5 PI)))))) (+ (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (* t (sqrt (/ -5 PI)))) (* 1/2 (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (* t (* (pow (sqrt (/ -5 PI)) 3) PI)))))) (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (* t (sqrt (/ -5 PI)))))) (* (- (+ (/ t (* PI (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 3))) (/ (* t (pow (sqrt (/ -5 PI)) 2)) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 3))) (/ (* t (pow (sqrt (/ -5 PI)) 2)) (* (pow (sqrt -6) 2) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 3)))) (/ 0 (/ (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (* t (sqrt (/ -5 PI)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt -6) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow v 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (sqrt -6)) (log v)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (* 1/3 (- (log (sqrt -6)) (log v))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (sqrt -6)) (log v))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (exp (- (log (sqrt -6)) (log v))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* PI (exp (- (log (sqrt -6)) (log v))))) (+ (* (/ 1 (* PI (exp (- (log (sqrt -6)) (log v))))) (/ 0 (* PI (exp (- (log (sqrt -6)) (log v)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -5 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -5 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (/ -5 PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (/ -5 PI)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (sqrt (/ -5 PI)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt (/ -5 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow (sqrt (/ -5 PI)) 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt -6) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow v 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (sqrt -6)) (log v)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (* 1/3 (- (log (sqrt -6)) (log v))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (sqrt -6)) (log v))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (- (log (sqrt -6)) (log v)))) (+ (* (/ (pow (sqrt (/ -5 PI)) 2) (exp (- (log (sqrt -6)) (log v)))) (/ 0 (exp (- (log (sqrt -6)) (log v))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -5 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -5 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (/ -5 PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (/ -5 PI)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (sqrt (/ -5 PI)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt (/ -5 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow (sqrt (/ -5 PI)) 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt -6) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow v 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (sqrt -6)) (log v)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (* 1/3 (- (log (sqrt -6)) (log v))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (sqrt -6)) (log v))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt -6) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (sqrt -6)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt -6)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (sqrt -6) 2) 0) (* 0 (exp (- (log (sqrt -6)) (log v))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (pow (sqrt -6) 2) (exp (- (log (sqrt -6)) (log v))))) (+ (* (/ (pow (sqrt (/ -5 PI)) 2) (* (pow (sqrt -6) 2) (exp (- (log (sqrt -6)) (log v))))) (/ 0 (* (pow (sqrt -6) 2) (exp (- (log (sqrt -6)) (log v)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -5 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ -5 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt (/ -5 PI)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt (/ -5 PI)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt (/ -5 PI)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt (/ -5 PI)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt (/ -5 PI)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt (/ -5 PI)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt (/ -5 PI))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt (/ -5 PI)) 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt -6) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt -6) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt -6) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow v 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow v 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow v 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (sqrt -6)) (log v)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -6)) (log v)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (* 1/3 (- (log (sqrt -6)) (log v)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (sqrt -6)) (log v))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (sqrt -6)) (log v))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (- (log (sqrt -6)) (log v)))) (+ (* (/ (pow (sqrt (/ -5 PI)) 2) (exp (- (log (sqrt -6)) (log v)))) (/ 0 (exp (- (log (sqrt -6)) (log v))))) (* 0 (/ 0 (exp (- (log (sqrt -6)) (log v))))) (* 0 (/ 0 (exp (- (log (sqrt -6)) (log v))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- (+ (/ 1 (* PI (exp (- (log (sqrt -6)) (log (/ 1 (- v))))))) (/ (pow (sqrt (/ -5 PI)) 2) (exp (- (log (sqrt -6)) (log (/ 1 (- v))))))) (/ (pow (sqrt (/ -5 PI)) 2) (* (pow (sqrt -6) 2) (exp (- (log (sqrt -6)) (log (/ 1 (- v)))))))) (* (/ 1 (- t)) (pow (/ 1 (- v)) 2))) (* (/ (pow (sqrt (/ -5 PI)) 2) (exp (- (log (sqrt -6)) (log (/ 1 (- v)))))) (* (/ 1 (- t)) 1))) into (- (/ (pow (sqrt (/ -5 PI)) 2) (* t (* (exp (- (log (sqrt -6)) (log (/ -1 v)))) (* (pow v 2) (pow (sqrt -6) 2))))) (+ (/ (pow (sqrt (/ -5 PI)) 2) (* t (* (exp (- (log (sqrt -6)) (log (/ -1 v)))) (pow v 2)))) (+ (/ (pow (sqrt (/ -5 PI)) 2) (* t (exp (- (log (sqrt -6)) (log (/ -1 v)))))) (/ 1 (* t (* (exp (- (log (sqrt -6)) (log (/ -1 v)))) (* (pow v 2) PI))))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 1 1 1 2) * [misc]approximate: Taking taylor expansion of (* (* v v) 5) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* v v) 5) in v * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (* (* v v) 5) in v * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 5) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 5)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 5))) into 5 * [misc]backup-simplify: Simplify 5 into 5 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 5)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 5))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 5)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 5))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 5)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 5))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 5 (pow v 2)) into (* 5 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 v) (/ 1 v)) 5) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) (/ 1 v)) 5) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) (/ 1 v)) 5) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 5) into 5 * [misc]backup-simplify: Simplify 5 into 5 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 5)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 5))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 5)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 5))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 5)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 5))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 5 (pow (/ 1 (/ 1 v)) 2)) into (* 5 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 (- v)) (/ 1 (- v))) 5) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) (/ 1 (- v))) 5) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) (/ 1 (- v))) 5) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 5) into 5 * [misc]backup-simplify: Simplify 5 into 5 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 5)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 5))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 5)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 5))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 5)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 5))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 5 (pow (/ 1 (/ 1 (- v))) 2)) into (* 5 (pow v 2)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1 1 2) * [misc]approximate: Taking taylor expansion of (* (* v v) 5) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* v v) 5) in v * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (* (* v v) 5) in v * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 5) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 5)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 5))) into 5 * [misc]backup-simplify: Simplify 5 into 5 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 5)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 5))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 5)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 5))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 5)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 5))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 5 (pow v 2)) into (* 5 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 v) (/ 1 v)) 5) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) (/ 1 v)) 5) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) (/ 1 v)) 5) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 5) into 5 * [misc]backup-simplify: Simplify 5 into 5 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 5)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 5))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 5)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 5))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 5)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 5))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 5 (pow (/ 1 (/ 1 v)) 2)) into (* 5 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 (- v)) (/ 1 (- v))) 5) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) (/ 1 (- v))) 5) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) (/ 1 (- v))) 5) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 5) into 5 * [misc]backup-simplify: Simplify 5 into 5 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 5)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 5))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 5)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 5))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 5)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 5))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 5 (pow (/ 1 (/ 1 (- v))) 2)) into (* 5 (pow v 2)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2 2 1 1 2 2) * [misc]approximate: Taking taylor expansion of (* (* v 3) v) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* v 3) v) in v * [misc]taylor: Taking taylor expansion of (* v 3) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* v 3) v) in v * [misc]taylor: Taking taylor expansion of (* v 3) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 3) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 3)) into 3 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 3 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 1) (* 0 0))) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 3 (pow v 2)) into (* 3 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 v) 3) (/ 1 v)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) 3) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) 3) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) 3) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) 3) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 3) into 3 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 3 (pow (/ 1 (/ 1 v)) 2)) into (* 3 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 (- v)) 3) (/ 1 (- v))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) 3) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) 3) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) 3) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) 3) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 3) into -3 * [misc]backup-simplify: Simplify (* -3 -1) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 3 (pow (/ 1 (/ 1 (- v))) 2)) into (* 3 (pow v 2)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 1288 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (sqrt (/ (- 1 (* (* v v) 5)) PI))) (+ (log (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (log (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (- (log (* t (- 1 (* v v)))) (- (log (sqrt (/ (- 1 (* (* v v) 5)) PI))) (log (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (163 enodes) * [exit]simplify: Simplified to (- (- (log (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (log (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2))))) (- (+ (log (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2)))) (log (* t (- 1 (* v v))))) (- (log (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (log (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (exp (- (- (log (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (log (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2))))) (- (+ (log (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2)))) (log (* t (- 1 (* v v))))) (- (log (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (log (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2))))))))) * * * * [misc]progress: [ 3 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (sqrt (/ (- 1 (* (* v v) 5)) PI))) (+ (log (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (log (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (- (log (* t (- 1 (* v v)))) (log (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * * [misc]simplify: iters left: 3 (379 enodes) * [exit]simplify: Simplified to (- (+ (log (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (log (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (+ (log (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (log (- t (* v (* t v)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (exp (- (+ (log (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (log (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (+ (log (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (log (- t (* v (* t v)))))))) * * * * [misc]progress: [ 4 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (sqrt (/ (- 1 (* (* v v) 5)) PI))) (+ (log (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (log (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (log (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * * [misc]simplify: iters left: 3 (343 enodes) * [exit]simplify: Simplified to (+ (log (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))))) (- (log (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))))) (log (* (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))) (- t (* v (* t v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (exp (+ (log (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))))) (- (log (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))))) (log (* (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))) (- t (* v (* t v))))))))) * * * * [misc]progress: [ 5 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (sqrt (/ (- 1 (* (* v v) 5)) PI))) (log (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (- (log (* t (- 1 (* v v)))) (- (log (sqrt (/ (- 1 (* (* v v) 5)) PI))) (log (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (158 enodes) * * [misc]simplify: iters left: 3 (447 enodes) * [exit]simplify: Simplified to (- (+ (- (log (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (log (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (- (log (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (log (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) (+ (log (- t (* v (* t v)))) (log (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (exp (- (+ (- (log (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (log (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (- (log (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (log (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) (+ (log (- t (* v (* t v)))) (log (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))))) * * * * [misc]progress: [ 6 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (sqrt (/ (- 1 (* (* v v) 5)) PI))) (log (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (- (log (* t (- 1 (* v v)))) (log (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (363 enodes) * [exit]simplify: Simplified to (- (+ (log (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))))) (log (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))))) (+ (log (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (log (- t (* v (* t v)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (exp (- (+ (log (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))))) (log (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))))) (+ (log (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (log (- t (* v (* t v)))))))) * * * * [misc]progress: [ 7 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (sqrt (/ (- 1 (* (* v v) 5)) PI))) (log (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (log (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (333 enodes) * [exit]simplify: Simplified to (+ (log (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (- (log (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (log (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- t (* (* t v) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (exp (+ (log (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (- (log (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (log (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- t (* (* t v) v)))))))) * * * * [misc]progress: [ 8 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (- (log (* t (- 1 (* v v)))) (- (log (sqrt (/ (- 1 (* (* v v) 5)) PI))) (log (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (354 enodes) * [exit]simplify: Simplified to (- (log (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (+ (+ (log (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (log (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (+ (log (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (- (log (- t (* v (* v t)))) (log (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (exp (- (log (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (+ (+ (log (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (log (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (+ (log (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (- (log (- t (* v (* v t)))) (log (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))))))) * * * * [misc]progress: [ 9 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (- (log (* t (- 1 (* v v)))) (log (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (297 enodes) * [exit]simplify: Simplified to (- (log (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (+ (+ (log (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (log (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (+ (- (log (- t (* v (* v t)))) (log (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (log (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (exp (- (log (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (+ (+ (log (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (log (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (+ (- (log (- t (* v (* v t)))) (log (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (log (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))))) * * * * [misc]progress: [ 10 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (log (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (131 enodes) * * [misc]simplify: iters left: 3 (292 enodes) * [exit]simplify: Simplified to (+ (log (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (- (log (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (log (* (- t (* (* v v) t)) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (exp (+ (log (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (- (log (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (log (* (- t (* (* v v) t)) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))))) * * * * [misc]progress: [ 11 / 1288 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 1288 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (* (* (* t (- 1 (* v v))) (* t (- 1 (* v v)))) (* t (- 1 (* v v)))) (/ (* (* (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (* 2 (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (292 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (/ (- 1 (* (* v v) 3)) (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (* (* (* t (- 1 (* v v))) (* t (- 1 (* v v)))) 2)) (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (/ (* t (- 1 (* v v))) (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (sqrt (* 2 (- 1 (* (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (cbrt (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (/ (- 1 (* (* v v) 3)) (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (* (* (* t (- 1 (* v v))) (* t (- 1 (* v v)))) 2)) (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (/ (* t (- 1 (* v v))) (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (sqrt (* 2 (- 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 14 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (* (* (* t (- 1 (* v v))) (* t (- 1 (* v v)))) (* t (- 1 (* v v)))) (* (* (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (347 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (/ (- 1 (* (* v v) 3)) (- (/ 1 PI) (* (/ v PI) (* 5 v))))) 2) (* (cbrt (sqrt (* 2 (- 1 (* (* v v) 3))))) (/ (* t (- 1 (* v v))) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) (* (* (cbrt (sqrt (* 2 (- 1 (* (* v v) 3))))) (/ (* t (- 1 (* v v))) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (* (cbrt (sqrt (* 2 (- 1 (* (* v v) 3))))) (/ (* t (- 1 (* v v))) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (cbrt (/ (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (/ (- 1 (* (* v v) 3)) (- (/ 1 PI) (* (/ v PI) (* 5 v))))) 2) (* (cbrt (sqrt (* 2 (- 1 (* (* v v) 3))))) (/ (* t (- 1 (* v v))) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) (* (* (cbrt (sqrt (* 2 (- 1 (* (* v v) 3))))) (/ (* t (- 1 (* v v))) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (* (cbrt (sqrt (* 2 (- 1 (* (* v v) 3))))) (/ (* t (- 1 (* v v))) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))))))) * * * * [misc]progress: [ 15 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (sqrt (* 2 (- 1 (* (* v 3) v)))) (sqrt (* 2 (- 1 (* (* v 3) v)))))) (* (* (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (274 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ (* (- (/ 1 PI) (* (/ 5 PI) (* v v))) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (* 2 (- 1 (* (* v v) 3)))) (* t (- 1 (* v v)))) (* (/ (* t (- 1 (* v v))) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (* 2 (- 1 (* (* v v) 3))))))) (/ (* (/ (* t (- 1 (* v v))) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (* 2 (- 1 (* (* v v) 3)))))) (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (* 2 (- 1 (* (* v v) 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (cbrt (/ (/ (/ (/ (* (- (/ 1 PI) (* (/ 5 PI) (* v v))) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (* 2 (- 1 (* (* v v) 3)))) (* t (- 1 (* v v)))) (* (/ (* t (- 1 (* v v))) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (* 2 (- 1 (* (* v v) 3))))))) (/ (* (/ (* t (- 1 (* v v))) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (* 2 (- 1 (* (* v v) 3)))))) (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (* 2 (- 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 16 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (* (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (* (* (* t (- 1 (* v v))) (* t (- 1 (* v v)))) (* t (- 1 (* v v)))) (/ (* (* (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (* 2 (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (336 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (/ (* (- 1 (* v v)) t) (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (* (- 1 (* v v)) t)) (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (/ (* (- 1 (* v v)) t) (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (sqrt (* 2 (- 1 (* (* v v) 3)))))) (* (sqrt (* 2 (- 1 (* (* v v) 3)))) (sqrt (* 2 (- 1 (* (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (cbrt (/ (* (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (/ (* (- 1 (* v v)) t) (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (* (- 1 (* v v)) t)) (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (/ (* (- 1 (* v v)) t) (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (sqrt (* 2 (- 1 (* (* v v) 3)))))) (* (sqrt (* 2 (- 1 (* (* v v) 3)))) (sqrt (* 2 (- 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 17 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (* (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (* (* (* t (- 1 (* v v))) (* t (- 1 (* v v)))) (* t (- 1 (* v v)))) (* (* (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (387 enodes) * [exit]simplify: Simplified to (/ (* (* (- (/ 1 PI) (/ (* v v) (/ PI 5))) (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (/ (* (- (/ 1 PI) (/ (* v v) (/ PI 5))) (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (sqrt (* 2 (- 1 (* (* v v) 3)))))) (* (pow (* (- 1 (* v v)) t) 3) (* (sqrt (* 2 (- 1 (* (* v v) 3)))) (sqrt (* 2 (- 1 (* (* v v) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (cbrt (/ (* (* (- (/ 1 PI) (/ (* v v) (/ PI 5))) (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (/ (* (- (/ 1 PI) (/ (* v v) (/ PI 5))) (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (sqrt (* 2 (- 1 (* (* v v) 3)))))) (* (pow (* (- 1 (* v v)) t) 3) (* (sqrt (* 2 (- 1 (* (* v v) 3)))) (sqrt (* 2 (- 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 18 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (* (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (* (* (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (315 enodes) * [exit]simplify: Simplified to (/ (/ (* (- (/ 1 PI) (* (/ 5 PI) (* v v))) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (* (sqrt (* 2 (- 1 (* (* v v) 3)))) (sqrt (* 2 (- 1 (* (* v v) 3)))))) (* (pow (/ (* (- 1 (* v v)) t) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) 3) (sqrt (* 2 (- 1 (* (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (cbrt (/ (/ (* (- (/ 1 PI) (* (/ 5 PI) (* v v))) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (* (sqrt (* 2 (- 1 (* (* v v) 3)))) (sqrt (* 2 (- 1 (* (* v v) 3)))))) (* (pow (/ (* (- 1 (* v v)) t) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) 3) (sqrt (* 2 (- 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 19 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (* (* (* t (- 1 (* v v))) (* t (- 1 (* v v)))) (* t (- 1 (* v v)))) (/ (* (* (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (* 2 (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (291 enodes) * [exit]simplify: Simplified to (* (* (/ (* (- (/ 1 PI) (* (/ 5 PI) (* v v))) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (sqrt (* 2 (- 1 (* (* 3 v) v))))) (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (* (* t (- 1 (* v v))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))))) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (* (* t (- 1 (* v v))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (* (* t (- 1 (* v v))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (cbrt (* (* (/ (* (- (/ 1 PI) (* (/ 5 PI) (* v v))) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (sqrt (* 2 (- 1 (* (* 3 v) v))))) (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (* (* t (- 1 (* v v))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))))) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (* (* t (- 1 (* v v))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (* (* t (- 1 (* v v))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))))))) * * * * [misc]progress: [ 20 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (* (* (* t (- 1 (* v v))) (* t (- 1 (* v v)))) (* t (- 1 (* v v)))) (* (* (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (333 enodes) * [exit]simplify: Simplified to (/ (/ (/ (- (/ 1 PI) (* (/ 5 PI) (* v v))) (* (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (* (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))) (* (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))))) (/ (/ (* (* (* t (- 1 (* v v))) (* t (- 1 (* v v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (/ (- (/ 1 PI) (* (/ 5 PI) (* v v))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (/ (/ (- (/ 1 PI) (* (/ 5 PI) (* v v))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (* (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))) (* t (- 1 (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (cbrt (/ (/ (/ (- (/ 1 PI) (* (/ 5 PI) (* v v))) (* (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (* (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))) (* (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))))) (/ (/ (* (* (* t (- 1 (* v v))) (* t (- 1 (* v v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (/ (- (/ 1 PI) (* (/ 5 PI) (* v v))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (/ (/ (- (/ 1 PI) (* (/ 5 PI) (* v v))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (* (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))) (* t (- 1 (* v v))))))))) * * * * [misc]progress: [ 21 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (* (* (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (273 enodes) * [exit]simplify: Simplified to (pow (/ (/ (/ (- (/ 1 PI) (* (/ 5 PI) (* v v))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (* (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (* t (- 1 (* v v)))) 3) * [misc]simplify: Simplified (2 1) to (λ (v t) (cbrt (pow (/ (/ (/ (- (/ 1 PI) (* (/ 5 PI) (* v v))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (* (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (* t (- 1 (* v v)))) 3))) * * * * [misc]progress: [ 22 / 1288 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 1288 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 1288 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 1288 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (* (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (217 enodes) * * [misc]simplify: iters left: 2 (412 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (cbrt (/ (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- t (* (* v v) t)))))) (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (cbrt (/ (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- t (* (* v v) t))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (cbrt (/ (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- t (* (* v v) t)))))) (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (cbrt (/ (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- t (* (* v v) t))))))) (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (197 enodes) * * [misc]simplify: iters left: 2 (389 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (/ (- t (* (* v t) v)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (* (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (/ (- t (* (* v t) v)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))))))) * * * * [misc]progress: [ 27 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (395 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (sqrt (/ (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (- t (* (* t v) v)))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (sqrt (/ (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (- t (* (* t v) v)))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (197 enodes) * * [misc]simplify: iters left: 2 (389 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (sqrt (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (/ (- t (* (* v t) v)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (sqrt (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (/ (- t (* (* v t) v)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))))))) * * * * [misc]progress: [ 28 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (316 enodes) * * [misc]simplify: iters left: 1 (438 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) t) (* (* (cbrt (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (cbrt (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) t) (* (* (cbrt (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (cbrt (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))))) (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (264 enodes) * * [misc]simplify: iters left: 1 (357 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (- 1 (* v v)) (cbrt (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (- 1 (* v v)) (cbrt (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))))) * * * * [misc]progress: [ 29 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * * [misc]simplify: iters left: 2 (272 enodes) * * [misc]simplify: iters left: 1 (369 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))) (/ t (sqrt (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))) (/ t (sqrt (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))))) (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (264 enodes) * * [misc]simplify: iters left: 1 (357 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (- 1 (* v v)) (sqrt (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (- 1 (* v v)) (sqrt (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))))) * * * * [misc]progress: [ 30 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (238 enodes) * * [misc]simplify: iters left: 2 (489 enodes) * [exit]simplify: Simplified to (* (/ (/ (* (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) t) (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (* (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) t) (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))))) (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (- 1 (* v v))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (- 1 (* v v))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))))) * * * * [misc]progress: [ 31 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (239 enodes) * * [misc]simplify: iters left: 2 (490 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (/ (* (cbrt (sqrt 2)) t) (* (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (/ (* (cbrt (sqrt 2)) t) (* (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))))) (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (/ (cbrt (sqrt (- 1 (* (* 3 v) v)))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt 2))))) (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (/ (cbrt (sqrt (- 1 (* (* 3 v) v)))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 32 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (239 enodes) * * [misc]simplify: iters left: 2 (490 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (/ (* (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) t) (* (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (/ (* (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) t) (* (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))))) (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (/ (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (/ (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 33 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (238 enodes) * * [misc]simplify: iters left: 2 (489 enodes) * [exit]simplify: Simplified to (* (/ (* (/ (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt 1)) (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) t) (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (* (/ (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt 1)) (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) t) (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))))) (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (399 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (- 1 (* v v))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt 1)))) (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (- 1 (* v v))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))))) * * * * [misc]progress: [ 34 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (131 enodes) * * [misc]simplify: iters left: 3 (319 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) t) (/ (* (/ (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (/ (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) t) (/ (* (/ (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (/ (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))))) (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (- 1 (* v v))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (- 1 (* v v))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))))) * * * * [misc]progress: [ 35 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (238 enodes) * * [misc]simplify: iters left: 2 (489 enodes) * [exit]simplify: Simplified to (* (/ (/ (* (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) t) (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (* (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) t) (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))))) (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (- 1 (* v v))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (- 1 (* v v))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))))) * * * * [misc]progress: [ 36 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) 1))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (/ t (* (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (/ t (* (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))))) (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (399 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (- 1 (* v v))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) 1))) (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (- 1 (* v v))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))))) * * * * [misc]progress: [ 37 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (198 enodes) * * [misc]simplify: iters left: 2 (364 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (* (/ t (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (* (/ t (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))))) (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (* (/ t (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))))) (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))))) * * * * [misc]progress: [ 38 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (364 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) t) (* (/ (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt 2))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) t) (* (/ (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt 2))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * * [misc]simplify: iters left: 2 (403 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) (cbrt (sqrt (- 1 (* (* 3 v) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (* (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) t) (* (/ (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt 2))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) (cbrt (sqrt (- 1 (* (* 3 v) v)))))))) * * * * [misc]progress: [ 39 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (364 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) t) (* (/ (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) t) (* (/ (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * * [misc]simplify: iters left: 2 (403 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (* (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) t) (* (/ (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 2 3)))))))))) * * * * [misc]progress: [ 40 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (198 enodes) * * [misc]simplify: iters left: 2 (364 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (/ (* (cbrt 1) t) (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (/ (* (cbrt 1) t) (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (- 1 (* v v))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (/ (* (cbrt 1) t) (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) (* (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (- 1 (* v v))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))))) * * * * [misc]progress: [ 41 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (234 enodes) * * [misc]simplify: iters left: 2 (486 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* t (* (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))))) (* (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* t (* (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))))) (* (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))))) (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (* (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* t (* (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))))) (* (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))))) (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))))) * * * * [misc]progress: [ 42 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (198 enodes) * * [misc]simplify: iters left: 2 (364 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (* (/ t (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (* (/ t (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (sqrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (* (/ t (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (sqrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))))) * * * * [misc]progress: [ 43 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) 1))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * * [misc]simplify: iters left: 2 (463 enodes) * [exit]simplify: Simplified to (* (* (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (* (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) t)) (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (- 1 (* v v))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (* (* (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) t)) (* (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (- 1 (* v v))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))))) * * * * [misc]progress: [ 44 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * * [misc]simplify: iters left: 2 (363 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (* t (/ (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (* t (/ (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))))) (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (- 1 (* v v))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (- 1 (* v v))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))))) * * * * [misc]progress: [ 45 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (196 enodes) * * [misc]simplify: iters left: 2 (364 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (* (/ (cbrt (sqrt 2)) (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (* (/ (cbrt (sqrt 2)) (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) t)) (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (/ (cbrt (sqrt (- 1 (* (* 3 v) v)))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt 2))))) (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (/ (cbrt (sqrt (- 1 (* (* 3 v) v)))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 46 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (196 enodes) * * [misc]simplify: iters left: 2 (364 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (* (/ (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (* (/ (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) t)) (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (/ (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (/ (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 47 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * * [misc]simplify: iters left: 2 (363 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (* t (/ (cbrt 1) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (* t (/ (cbrt 1) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))))) (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (399 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (- 1 (* v v))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt 1)))) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (- 1 (* v v))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))))) * * * * [misc]progress: [ 48 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (231 enodes) * * [misc]simplify: iters left: 2 (481 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (* (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) t) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (* (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) t) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))) (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (- 1 (* v v))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (- 1 (* v v))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))))) * * * * [misc]progress: [ 49 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * * [misc]simplify: iters left: 2 (363 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (* t (/ (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (* t (/ (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))))) (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (- 1 (* v v))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (- 1 (* v v))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))))) * * * * [misc]progress: [ 50 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) 1))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (204 enodes) * * [misc]simplify: iters left: 2 (460 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ t (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ t (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (399 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (- 1 (* v v))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) 1))) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (- 1 (* v v))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))))) * * * * [misc]progress: [ 51 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt 1) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * * [misc]simplify: iters left: 2 (363 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (* t (/ (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (sqrt 1)))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (* t (/ (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (sqrt 1)))) (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (399 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt 1) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))))) * * * * [misc]progress: [ 52 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt 1) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (196 enodes) * * [misc]simplify: iters left: 2 (364 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (* (/ (cbrt (sqrt 2)) (sqrt 1)) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (* (/ (cbrt (sqrt 2)) (sqrt 1)) t)) (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (- 1 (* v v))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt 1) (cbrt (sqrt 2))))) (* (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (- 1 (* v v))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))))) * * * * [misc]progress: [ 53 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt 1) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (196 enodes) * * [misc]simplify: iters left: 2 (364 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (* (/ (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (sqrt 1)) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (* (/ (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (sqrt 1)) t)) (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (- 1 (* v v))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt 1) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (* (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (- 1 (* v v))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))))) * * * * [misc]progress: [ 54 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt 1) (cbrt 1)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * * [misc]simplify: iters left: 2 (363 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (* t (/ (cbrt 1) (sqrt 1)))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (* t (/ (cbrt 1) (sqrt 1)))) (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (399 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (- 1 (* v v))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt 1) (cbrt 1)))) (* (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (- 1 (* v v))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))))) * * * * [misc]progress: [ 55 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt 1) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (231 enodes) * * [misc]simplify: iters left: 2 (481 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (* (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) t) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (sqrt 1))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (* (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) t) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (sqrt 1))) (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (399 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt 1) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))))) * * * * [misc]progress: [ 56 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt 1) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * * [misc]simplify: iters left: 2 (363 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (* t (/ (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (sqrt 1)))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (* t (/ (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (sqrt 1)))) (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (399 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt 1) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))))) * * * * [misc]progress: [ 57 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt 1) 1))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (204 enodes) * * [misc]simplify: iters left: 2 (460 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ t (sqrt 1))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ t (sqrt 1))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (399 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (- 1 (* v v))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt 1) 1))) (* (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (- 1 (* v v))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))))) * * * * [misc]progress: [ 58 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * * [misc]simplify: iters left: 2 (363 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (* t (/ (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (sqrt (- 1 (* (* v v) 5)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (* t (/ (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (sqrt (- 1 (* (* v v) 5)))))) (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (/ (- 1 (* v v)) (sqrt (/ 1 PI))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (/ (- 1 (* v v)) (sqrt (/ 1 PI))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))))) * * * * [misc]progress: [ 59 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (196 enodes) * * [misc]simplify: iters left: 2 (364 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (* (/ (cbrt (sqrt 2)) (sqrt (- 1 (* (* v v) 5)))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (* (/ (cbrt (sqrt 2)) (sqrt (- 1 (* (* v v) 5)))) t)) (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (- 1 (* v v))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt 2))))) (* (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (- 1 (* v v))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))))) * * * * [misc]progress: [ 60 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (196 enodes) * * [misc]simplify: iters left: 2 (364 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (* (/ (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (sqrt (- 1 (* (* v v) 5)))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (* (/ (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (sqrt (- 1 (* (* v v) 5)))) t)) (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (- 1 (* v v))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (* (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (- 1 (* v v))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))))) * * * * [misc]progress: [ 61 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * * [misc]simplify: iters left: 2 (363 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (* t (/ (cbrt 1) (sqrt (- 1 (* (* v v) 5)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (* t (/ (cbrt 1) (sqrt (- 1 (* (* v v) 5)))))) (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (399 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* (/ (- 1 (* v v)) (sqrt (/ 1 PI))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt 1)))) (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* (/ (- 1 (* v v)) (sqrt (/ 1 PI))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))))) * * * * [misc]progress: [ 62 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (231 enodes) * * [misc]simplify: iters left: 2 (481 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (* (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) t) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (sqrt (- 1 (* (* v v) 5))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (* (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) t) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (sqrt (- 1 (* (* v v) 5))))) (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (/ (- 1 (* v v)) (sqrt (/ 1 PI))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (/ (- 1 (* v v)) (sqrt (/ 1 PI))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))))) * * * * [misc]progress: [ 63 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * * [misc]simplify: iters left: 2 (363 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (* t (/ (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (sqrt (- 1 (* (* v v) 5)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (* t (/ (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (sqrt (- 1 (* (* v v) 5)))))) (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (/ (- 1 (* v v)) (sqrt (/ 1 PI))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (/ (- 1 (* v v)) (sqrt (/ 1 PI))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))))) * * * * [misc]progress: [ 64 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) 1))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (204 enodes) * * [misc]simplify: iters left: 2 (460 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ t (sqrt (- 1 (* (* 5 v) v))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ t (sqrt (- 1 (* (* 5 v) v))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (399 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* (/ (- 1 (* v v)) (sqrt (/ 1 PI))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) 1))) (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* (/ (- 1 (* v v)) (sqrt (/ 1 PI))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))))) * * * * [misc]progress: [ 65 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * * [misc]simplify: iters left: 2 (363 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (* t (/ (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (* t (/ (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))))) (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (- 1 (* v v))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (- 1 (* v v))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))))) * * * * [misc]progress: [ 66 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (196 enodes) * * [misc]simplify: iters left: 2 (364 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (* (/ (cbrt (sqrt 2)) (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (* (/ (cbrt (sqrt 2)) (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) t)) (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (/ (cbrt (sqrt (- 1 (* (* 3 v) v)))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt 2))))) (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (/ (cbrt (sqrt (- 1 (* (* 3 v) v)))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 67 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (196 enodes) * * [misc]simplify: iters left: 2 (364 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (* (/ (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (* (/ (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) t)) (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (/ (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (/ (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 68 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * * [misc]simplify: iters left: 2 (363 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (* t (/ (cbrt 1) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (* t (/ (cbrt 1) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))))) (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (399 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (- 1 (* v v))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt 1)))) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (- 1 (* v v))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))))) * * * * [misc]progress: [ 69 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (231 enodes) * * [misc]simplify: iters left: 2 (481 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (* (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) t) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (* (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) t) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))) (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (- 1 (* v v))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (- 1 (* v v))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))))) * * * * [misc]progress: [ 70 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * * [misc]simplify: iters left: 2 (363 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (* t (/ (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (* t (/ (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))))) (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (- 1 (* v v))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (- 1 (* v v))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))))) * * * * [misc]progress: [ 71 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) 1))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (204 enodes) * * [misc]simplify: iters left: 2 (460 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ t (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ t (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (399 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (- 1 (* v v))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) 1))) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (- 1 (* v v))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))))) * * * * [misc]progress: [ 72 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ 1 (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (395 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* t (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* t (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (399 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ 1 (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))))) * * * * [misc]progress: [ 73 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ 1 (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (398 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) t) (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) t) (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (cbrt (sqrt 2)))) (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (- 1 (* v v))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ 1 (cbrt (sqrt 2))))) (* (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (- 1 (* v v))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))))) * * * * [misc]progress: [ 74 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ 1 (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (398 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) t) (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) t) (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (- 1 (* v v))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ 1 (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (* (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (- 1 (* v v))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))))) * * * * [misc]progress: [ 75 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ 1 (cbrt 1)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (395 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* t (cbrt 1))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* t (cbrt 1))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (399 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (- 1 (* v v))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ 1 (cbrt 1)))) (* (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (- 1 (* v v))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))))) * * * * [misc]progress: [ 76 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ 1 (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (220 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (* t (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (* t (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (399 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ 1 (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))))) * * * * [misc]progress: [ 77 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ 1 (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (395 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* t (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* t (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (399 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ 1 (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))))) * * * * [misc]progress: [ 78 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ 1 1))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: iters left: 1 (369 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (/ t (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (/ t (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))))) (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (399 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (- 1 (* v v))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ 1 1))) (* (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (- 1 (* v v))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))))) * * * * [misc]progress: [ 79 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t 1)) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (238 enodes) * * [misc]simplify: iters left: 1 (329 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ t (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ t (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (399 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (- 1 (* v v))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t 1)) (* (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (- 1 (* v v))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))))) * * * * [misc]progress: [ 80 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (sqrt (/ (- 1 (* (* v v) 5)) PI)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (268 enodes) * * [misc]simplify: iters left: 1 (362 enodes) * [exit]simplify: Simplified to (* (* (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))) (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (* (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))) (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) t)) (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (224 enodes) * * [misc]simplify: iters left: 2 (464 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (* (- 1 (* v v)) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (/ (cbrt (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (* (- 1 (* v v)) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 81 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3)))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * * [misc]simplify: iters left: 3 (445 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))) (/ t (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))) (/ t (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))))) (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * * [misc]simplify: iters left: 3 (381 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3)))))))) (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))))))) * * * * [misc]progress: [ 82 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * * [misc]simplify: iters left: 3 (297 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ t (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ t (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* v 3) v)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* v 3) v)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * * [misc]simplify: iters left: 2 (265 enodes) * * [misc]simplify: iters left: 1 (361 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (* (* 3 v) v) 1))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ t (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v))))))))) (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (* (* 3 v) v) 1))))))) * * * * [misc]progress: [ 83 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) 1) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (252 enodes) * * [misc]simplify: iters left: 1 (346 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * * [misc]simplify: iters left: 2 (497 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (- t (* (* v v) t))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) 1) (* (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (- t (* (* v v) t))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))))) * * * * [misc]progress: [ 84 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (* t (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * * [misc]simplify: iters left: 2 (328 enodes) * * [misc]simplify: iters left: 1 (470 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) t) (/ (- 1 (* v v)) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) t) (/ (- 1 (* v v)) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ 1 (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ 1 (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * * [misc]simplify: iters left: 2 (318 enodes) * * [misc]simplify: iters left: 1 (421 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (* t (- 1 (* v v)))) (* (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))))) * * * * [misc]progress: [ 85 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (* t (- 1 (* v v))) (sqrt (/ (- 1 (* (* v v) 5)) PI)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (252 enodes) * * [misc]simplify: iters left: 2 (495 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ t (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) (/ (- 1 (* v v)) (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ t (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) (/ (- 1 (* v v)) (cbrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))))) (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (235 enodes) * * [misc]simplify: iters left: 1 (326 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (* t (- 1 (* v v))) (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (/ (cbrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * * * * [misc]progress: [ 86 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (* (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * * [misc]simplify: iters left: 2 (388 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (* (cbrt (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (/ (- t (* (* v t) v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (/ (- t (* (* v t) v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (* (cbrt (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (/ (- t (* (* v t) v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (/ (- t (* (* v t) v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))))) (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (197 enodes) * * [misc]simplify: iters left: 2 (389 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (/ (- t (* (* v t) v)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (* (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (/ (- t (* (* v t) v)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))))))) * * * * [misc]progress: [ 87 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (197 enodes) * * [misc]simplify: iters left: 2 (389 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (sqrt (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (/ (- t (* (* v t) v)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (sqrt (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (/ (- t (* (* v t) v)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))))) (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (197 enodes) * * [misc]simplify: iters left: 2 (389 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (sqrt (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (/ (- t (* (* v t) v)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (sqrt (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (/ (- t (* (* v t) v)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))))))) * * * * [misc]progress: [ 88 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * * [misc]simplify: iters left: 1 (352 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (cbrt (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ t (cbrt (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (cbrt (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ t (cbrt (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))))) (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (264 enodes) * * [misc]simplify: iters left: 1 (357 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (- 1 (* v v)) (cbrt (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (- 1 (* v v)) (cbrt (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))))) * * * * [misc]progress: [ 89 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (245 enodes) * * [misc]simplify: iters left: 1 (335 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (/ t (sqrt (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (/ t (sqrt (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))))) (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (264 enodes) * * [misc]simplify: iters left: 1 (357 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (- 1 (* v v)) (sqrt (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (- 1 (* v v)) (sqrt (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))))) * * * * [misc]progress: [ 90 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (197 enodes) * * [misc]simplify: iters left: 2 (344 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (* (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) t))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (* (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) t))) (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (- 1 (* v v))) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (- 1 (* v v))) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))))) * * * * [misc]progress: [ 91 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (198 enodes) * * [misc]simplify: iters left: 2 (347 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (/ t (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) (/ (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (/ t (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) (/ (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt 2))))) (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (/ (cbrt (sqrt (- 1 (* (* 3 v) v)))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt 2))))) (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (/ (cbrt (sqrt (- 1 (* (* 3 v) v)))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 92 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (198 enodes) * * [misc]simplify: iters left: 2 (347 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (/ t (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) (/ (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (/ t (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) (/ (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (/ (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (/ (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 93 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (197 enodes) * * [misc]simplify: iters left: 2 (344 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (* (cbrt 1) t) (* (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (* (cbrt 1) t) (* (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))))) (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (399 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (- 1 (* v v))) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt 1)))) (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (- 1 (* v v))) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))))) * * * * [misc]progress: [ 94 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (263 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (* (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) t) (/ (* (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (* (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) t) (/ (* (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (- 1 (* v v))) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (- 1 (* v v))) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))))) * * * * [misc]progress: [ 95 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (197 enodes) * * [misc]simplify: iters left: 2 (344 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (* (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) t) (* (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (* (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) t) (* (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))))) (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (- 1 (* v v))) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (- 1 (* v v))) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))))) * * * * [misc]progress: [ 96 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) 1))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (357 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (/ t (* (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (/ t (* (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))))) (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (399 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (- 1 (* v v))) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) 1))) (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (- 1 (* v v))) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))))) * * * * [misc]progress: [ 97 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * * [misc]simplify: iters left: 1 (389 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* (/ t (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* (/ t (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))))) (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* (/ t (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))))) (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))))) * * * * [misc]progress: [ 98 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * * [misc]simplify: iters left: 1 (391 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (* (cbrt (sqrt 2)) t)) (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (* (cbrt (sqrt 2)) t)) (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * * [misc]simplify: iters left: 2 (403 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) (cbrt (sqrt (- 1 (* (* 3 v) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (* (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (* (cbrt (sqrt 2)) t)) (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) (cbrt (sqrt (- 1 (* (* 3 v) v)))))))) * * * * [misc]progress: [ 99 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * * [misc]simplify: iters left: 1 (391 enodes) * [exit]simplify: Simplified to (* (/ (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 2 3))))))) t) (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 2 3))))))) t) (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * * [misc]simplify: iters left: 2 (403 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (* (/ (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 2 3))))))) t) (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 2 3)))))))))) * * * * [misc]progress: [ 100 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * * [misc]simplify: iters left: 1 (389 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (* (cbrt 1) t) (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (* (cbrt 1) t) (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (- 1 (* v v))) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (* (cbrt 1) t) (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) (* (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (- 1 (* v v))) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))))) * * * * [misc]progress: [ 101 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (345 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (* (/ t (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (* (/ t (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))))) (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (* (/ t (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))))) (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))))) * * * * [misc]progress: [ 102 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * * [misc]simplify: iters left: 1 (389 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* (/ t (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* (/ t (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (sqrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* (/ t (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (sqrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))))) * * * * [misc]progress: [ 103 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) 1))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (286 enodes) * * [misc]simplify: iters left: 1 (426 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) t)) (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (- 1 (* v v))) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (* (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) t)) (* (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (- 1 (* v v))) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))))) * * * * [misc]progress: [ 104 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * * [misc]simplify: iters left: 1 (394 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (* (cbrt (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ t (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (* (cbrt (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ t (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))))) (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (- 1 (* v v))) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (- 1 (* v v))) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))))) * * * * [misc]progress: [ 105 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * * [misc]simplify: iters left: 1 (392 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (* (cbrt (sqrt 2)) t)) (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (* (cbrt (sqrt 2)) t)) (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (/ (cbrt (sqrt (- 1 (* (* 3 v) v)))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt 2))))) (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (/ (cbrt (sqrt (- 1 (* (* 3 v) v)))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 106 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * * [misc]simplify: iters left: 1 (392 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (* (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v)))))) t)) (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (* (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v)))))) t)) (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (/ (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (/ (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 107 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * * [misc]simplify: iters left: 1 (394 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (* (cbrt 1) t)) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (* (cbrt 1) t)) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (399 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (- 1 (* v v))) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt 1)))) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (- 1 (* v v))) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))))) * * * * [misc]progress: [ 108 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (342 enodes) * * [misc]simplify: iters left: 1 (492 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) t)) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) t)) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (- 1 (* v v))) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (- 1 (* v v))) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))))) * * * * [misc]progress: [ 109 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * * [misc]simplify: iters left: 1 (394 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) t) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) t) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (- 1 (* v v))) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (- 1 (* v v))) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))))) * * * * [misc]progress: [ 110 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) 1))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * * [misc]simplify: iters left: 1 (385 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) t) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) t) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (399 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (- 1 (* v v))) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) 1))) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (- 1 (* v v))) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))))) * * * * [misc]progress: [ 111 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt 1) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * * [misc]simplify: iters left: 1 (394 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (* (cbrt (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ t (sqrt 1)))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (* (cbrt (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ t (sqrt 1)))) (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (399 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt 1) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))))) * * * * [misc]progress: [ 112 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt 1) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * * [misc]simplify: iters left: 1 (392 enodes) * [exit]simplify: Simplified to (* (/ (sqrt 1) (* (cbrt (sqrt 2)) t)) (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (sqrt 1) (* (cbrt (sqrt 2)) t)) (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (- 1 (* v v))) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt 1) (cbrt (sqrt 2))))) (* (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (- 1 (* v v))) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))))) * * * * [misc]progress: [ 113 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt 1) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * * [misc]simplify: iters left: 1 (392 enodes) * [exit]simplify: Simplified to (* (/ (sqrt 1) (* (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v)))))) t)) (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (sqrt 1) (* (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v)))))) t)) (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (- 1 (* v v))) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt 1) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (* (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (- 1 (* v v))) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))))) * * * * [misc]progress: [ 114 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt 1) (cbrt 1)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * * [misc]simplify: iters left: 1 (394 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt 1) (cbrt 1)) t) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (sqrt 1) (cbrt 1)) t) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (399 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (- 1 (* v v))) (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt 1) (cbrt 1)))) (* (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (- 1 (* v v))) (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))))) * * * * [misc]progress: [ 115 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt 1) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (342 enodes) * * [misc]simplify: iters left: 1 (492 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt 1) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) t)) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (sqrt 1) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) t)) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (399 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt 1) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))))) * * * * [misc]progress: [ 116 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt 1) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * * [misc]simplify: iters left: 1 (394 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt 1) (sqrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) t) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (sqrt 1) (sqrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) t) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (399 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt 1) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))))) * * * * [misc]progress: [ 117 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt 1) 1))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * * [misc]simplify: iters left: 1 (385 enodes) * [exit]simplify: Simplified to (* (/ (sqrt 1) t) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (sqrt 1) t) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (399 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (- 1 (* v v))) (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt 1) 1))) (* (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (- 1 (* v v))) (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))))) * * * * [misc]progress: [ 118 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * * [misc]simplify: iters left: 1 (394 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (* (cbrt (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ t (sqrt (- 1 (* (* 5 v) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (* (cbrt (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ t (sqrt (- 1 (* (* 5 v) v)))))) (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (/ (- 1 (* v v)) (sqrt (/ 1 PI))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (/ (- 1 (* v v)) (sqrt (/ 1 PI))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))))) * * * * [misc]progress: [ 119 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * * [misc]simplify: iters left: 1 (392 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- 1 (* (* v v) 5))) (* (cbrt (sqrt 2)) t)) (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (sqrt (- 1 (* (* v v) 5))) (* (cbrt (sqrt 2)) t)) (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (- 1 (* v v))) (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt 2))))) (* (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (- 1 (* v v))) (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))))) * * * * [misc]progress: [ 120 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * * [misc]simplify: iters left: 1 (392 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- 1 (* (* v v) 5))) (* (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v)))))) t)) (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (sqrt (- 1 (* (* v v) 5))) (* (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v)))))) t)) (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (- 1 (* v v))) (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (* (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (- 1 (* v v))) (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))))) * * * * [misc]progress: [ 121 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * * [misc]simplify: iters left: 1 (394 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- 1 (* (* 5 v) v))) (* (cbrt 1) t)) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (sqrt (- 1 (* (* 5 v) v))) (* (cbrt 1) t)) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (399 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* (/ (- 1 (* v v)) (sqrt (/ 1 PI))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt 1)))) (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* (/ (- 1 (* v v)) (sqrt (/ 1 PI))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))))) * * * * [misc]progress: [ 122 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (342 enodes) * * [misc]simplify: iters left: 1 (492 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) t)) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) t)) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (/ (- 1 (* v v)) (sqrt (/ 1 PI))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (/ (- 1 (* v v)) (sqrt (/ 1 PI))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))))) * * * * [misc]progress: [ 123 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * * [misc]simplify: iters left: 1 (394 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- 1 (* (* 5 v) v))) (sqrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) t) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (sqrt (- 1 (* (* 5 v) v))) (sqrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) t) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (/ (- 1 (* v v)) (sqrt (/ 1 PI))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (/ (- 1 (* v v)) (sqrt (/ 1 PI))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))))) * * * * [misc]progress: [ 124 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) 1))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * * [misc]simplify: iters left: 1 (385 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- 1 (* (* v v) 5))) t) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (sqrt (- 1 (* (* v v) 5))) t) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (399 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* (/ (- 1 (* v v)) (sqrt (/ 1 PI))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) 1))) (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* (/ (- 1 (* v v)) (sqrt (/ 1 PI))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))))) * * * * [misc]progress: [ 125 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * * [misc]simplify: iters left: 1 (394 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (* (cbrt (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ t (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (* (cbrt (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ t (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))))) (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (- 1 (* v v))) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (- 1 (* v v))) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))))) * * * * [misc]progress: [ 126 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * * [misc]simplify: iters left: 1 (392 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (* (cbrt (sqrt 2)) t)) (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (* (cbrt (sqrt 2)) t)) (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (/ (cbrt (sqrt (- 1 (* (* 3 v) v)))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt 2))))) (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (/ (cbrt (sqrt (- 1 (* (* 3 v) v)))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 127 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * * [misc]simplify: iters left: 1 (392 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (* (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v)))))) t)) (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (* (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v)))))) t)) (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (/ (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (/ (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 128 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * * [misc]simplify: iters left: 1 (394 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (* (cbrt 1) t)) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (* (cbrt 1) t)) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (399 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (- 1 (* v v))) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt 1)))) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (- 1 (* v v))) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))))) * * * * [misc]progress: [ 129 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (342 enodes) * * [misc]simplify: iters left: 1 (492 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) t)) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) t)) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (- 1 (* v v))) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (- 1 (* v v))) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))))) * * * * [misc]progress: [ 130 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * * [misc]simplify: iters left: 1 (394 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) t) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) t) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (- 1 (* v v))) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (- 1 (* v v))) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))))) * * * * [misc]progress: [ 131 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) 1))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * * [misc]simplify: iters left: 1 (385 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) t) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) t) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (399 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (- 1 (* v v))) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) 1))) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (- 1 (* v v))) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))))) * * * * [misc]progress: [ 132 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ 1 (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (294 enodes) * * [misc]simplify: iters left: 1 (445 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (cbrt (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (cbrt (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) t)) (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (399 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ 1 (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))))) * * * * [misc]progress: [ 133 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ 1 (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (297 enodes) * * [misc]simplify: iters left: 1 (451 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* t (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* t (cbrt (sqrt 2)))) (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (- 1 (* v v))) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ 1 (cbrt (sqrt 2))))) (* (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (- 1 (* v v))) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))))) * * * * [misc]progress: [ 134 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ 1 (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (297 enodes) * * [misc]simplify: iters left: 1 (451 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* t (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* t (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (- 1 (* v v))) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ 1 (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (* (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (- 1 (* v v))) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))))) * * * * [misc]progress: [ 135 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ 1 (cbrt 1)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (294 enodes) * * [misc]simplify: iters left: 1 (445 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (cbrt 1) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (cbrt 1) t)) (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (399 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (- 1 (* v v))) (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ 1 (cbrt 1)))) (* (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (- 1 (* v v))) (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))))) * * * * [misc]progress: [ 136 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ 1 (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (347 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* t (* (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* t (* (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))))) (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (399 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ 1 (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))))) * * * * [misc]progress: [ 137 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ 1 (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (294 enodes) * * [misc]simplify: iters left: 1 (445 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (sqrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (sqrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) t)) (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (399 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ 1 (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))))) * * * * [misc]progress: [ 138 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ 1 1))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (241 enodes) * * [misc]simplify: iters left: 1 (337 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) t) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) t) (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (399 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (- 1 (* v v))) (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) t) (* (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (- 1 (* v v))) (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))))) * * * * [misc]progress: [ 139 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t 1)) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (240 enodes) * * [misc]simplify: iters left: 1 (331 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) t) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) t) (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (399 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (- 1 (* v v))) (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t 1)) (* (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (- 1 (* v v))) (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))))) * * * * [misc]progress: [ 140 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (sqrt (/ (- 1 (* (* v v) 5)) PI)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (246 enodes) * * [misc]simplify: iters left: 1 (335 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (/ t (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (/ t (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (224 enodes) * * [misc]simplify: iters left: 2 (464 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (* (- 1 (* v v)) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (/ (sqrt (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (* (- 1 (* v v)) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 141 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (145 enodes) * * [misc]simplify: iters left: 3 (386 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (* (/ t (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (* (/ t (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))))) (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * * [misc]simplify: iters left: 3 (381 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3)))))))) (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))))))) * * * * [misc]progress: [ 142 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * * [misc]simplify: iters left: 3 (264 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (* (* 3 v) v) (* (* 3 v) (* v 2)))))) (/ t (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (* (* 3 v) v) (* (* 3 v) (* v 2)))))) (/ t (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* v 3) v)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* v 3) v)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * * [misc]simplify: iters left: 2 (265 enodes) * * [misc]simplify: iters left: 1 (361 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (* (* 3 v) v) 1))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ t (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v))))))))) (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (* (* 3 v) v) 1))))))) * * * * [misc]progress: [ 143 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) 1) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (237 enodes) * * [misc]simplify: iters left: 1 (326 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * * [misc]simplify: iters left: 2 (497 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (- t (* (* v v) t))) (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) 1) (* (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (- t (* (* v v) t))) (sqrt (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))))) * * * * [misc]progress: [ 144 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (* t (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * * [misc]simplify: iters left: 2 (273 enodes) * * [misc]simplify: iters left: 1 (381 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (- t (* (* v v) t))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (- t (* (* v v) t))) (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ 1 (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ 1 (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * * [misc]simplify: iters left: 2 (318 enodes) * * [misc]simplify: iters left: 1 (421 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (* t (- 1 (* v v)))) (* (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))))) * * * * [misc]progress: [ 145 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (* t (- 1 (* v v))) (sqrt (/ (- 1 (* (* v v) 5)) PI)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * * [misc]simplify: iters left: 2 (361 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (- t (* (* v v) t)) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (- t (* (* v v) t)) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (235 enodes) * * [misc]simplify: iters left: 1 (326 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (/ (* t (- 1 (* v v))) (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (/ (sqrt (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * * * * [misc]progress: [ 146 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (* (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (254 enodes) * * [misc]simplify: iters left: 2 (483 enodes) * [exit]simplify: Simplified to (/ (/ (/ (* (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))) (/ (- t (* (* v t) v)) (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))) (/ (- t (* (* v t) v)) (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (* (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))) (/ (- t (* (* v t) v)) (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))) (/ (- t (* (* v t) v)) (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))))) (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * * [misc]simplify: iters left: 2 (389 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (* (/ (- t (* (* t v) v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (* (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (* (/ (- t (* (* t v) v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))))) * * * * [misc]progress: [ 147 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (224 enodes) * * [misc]simplify: iters left: 2 (421 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (sqrt (* (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))) (/ (- t (* v (* v t))) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (sqrt (* (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))) (/ (- t (* v (* v t))) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))))) (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * * [misc]simplify: iters left: 2 (389 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (sqrt (* (/ (- t (* (* t v) v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (sqrt (* (/ (- t (* (* t v) v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))))) * * * * [misc]progress: [ 148 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (234 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (cbrt (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (* t (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (* (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (cbrt (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (cbrt (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (* t (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (* (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))))) (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (325 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (cbrt (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))))))) * * * * [misc]progress: [ 149 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (197 enodes) * * [misc]simplify: iters left: 2 (385 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (/ t (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) (sqrt (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (/ t (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) (sqrt (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))))) (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (325 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (sqrt (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))))))) * * * * [misc]progress: [ 150 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (308 enodes) * [exit]simplify: Simplified to (* (/ (/ (* (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) t) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (* (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (* (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) t) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (* (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (240 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))))))) * * * * [misc]progress: [ 151 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (308 enodes) * [exit]simplify: Simplified to (* (/ (* (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) t) (/ (* (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (* (cbrt (sqrt 2)) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (* (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) t) (/ (* (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (* (cbrt (sqrt 2)) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (/ (- 1 (* v v)) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt 2))))) (/ (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (/ (- 1 (* v v)) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))))) * * * * [misc]progress: [ 152 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (308 enodes) * [exit]simplify: Simplified to (* (/ (* (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (* (/ (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) t))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (* (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (* (/ (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) t))) (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))))) * * * * [misc]progress: [ 153 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (307 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (/ (* (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (* (* t (cbrt 1)) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (* (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (/ (* (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (* (* t (cbrt 1)) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (- 1 (* v v))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt 1)))) (/ (* (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (- 1 (* v v))))) * * * * [misc]progress: [ 154 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * * [misc]simplify: iters left: 3 (402 enodes) * [exit]simplify: Simplified to (/ (/ (* (* (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (* (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) (* (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (* t (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (* (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (* (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) (* (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (* t (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (240 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))))))) * * * * [misc]progress: [ 155 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (307 enodes) * [exit]simplify: Simplified to (* (/ (* (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (* t (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (* (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (* (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (* t (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (* (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (240 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))))))) * * * * [misc]progress: [ 156 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) 1))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (263 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (/ (* (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (* t (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (* (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (/ (* (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (* t (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (- 1 (* v v))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) 1))) (/ (* (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (- 1 (* v v))))) * * * * [misc]progress: [ 157 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (271 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (/ (* t (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (/ (* t (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))))) (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (- 1 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (/ (* t (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))))) (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (- 1 (* v v))))))) * * * * [misc]progress: [ 158 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (271 enodes) * [exit]simplify: Simplified to (* (/ (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt 2))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (/ t (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt 2))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (/ t (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))))) (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (244 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (sqrt (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (* (- 1 (* v v)) (cbrt (sqrt (- 1 (* 3 (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (* (/ (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt 2))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (/ t (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))))) (/ (* (/ (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (sqrt (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (* (- 1 (* v v)) (cbrt (sqrt (- 1 (* 3 (* v v))))))))) * * * * [misc]progress: [ 159 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (271 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (/ (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) t) (/ (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (/ (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) t) (/ (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))))) (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (244 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (sqrt (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (* (- 1 (* v v)) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (* (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (/ (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) t) (/ (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))))) (/ (* (/ (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (sqrt (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (* (- 1 (* v v)) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))))))) * * * * [misc]progress: [ 160 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (270 enodes) * [exit]simplify: Simplified to (/ (/ (* (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) (* (cbrt 1) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) (* (cbrt 1) t)) (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) (* (cbrt 1) t)) (/ (* (/ (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * * * * [misc]progress: [ 161 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (317 enodes) * [exit]simplify: Simplified to (/ (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))))) (/ t (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) (/ (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))))) (/ t (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) (/ (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))))))) (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (- 1 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))))) (/ t (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) (/ (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))))))) (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (- 1 (* v v))))))) * * * * [misc]progress: [ 162 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (270 enodes) * [exit]simplify: Simplified to (/ (/ (* (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) (* (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) (* (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) t)) (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (- 1 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) (* (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) t)) (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (- 1 (* v v))))))) * * * * [misc]progress: [ 163 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) 1))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (244 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) (/ t (fabs (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) (/ t (fabs (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))) (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) (/ t (fabs (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))) (/ (* (/ (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * * * * [misc]progress: [ 164 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (268 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) (* (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) (* (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) t)) (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))))) * * * * [misc]progress: [ 165 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (268 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) (* (cbrt (sqrt 2)) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) (* (cbrt (sqrt 2)) t)) (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt 2))))) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))))) * * * * [misc]progress: [ 166 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (268 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) (* (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2)))))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) (* (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2)))))) t)) (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (- 1 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (- 1 (* v v))))))) * * * * [misc]progress: [ 167 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (267 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (/ t (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt 1))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (/ t (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt 1))) (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (- 1 (* v v))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt 1)))) (/ (* (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (- 1 (* v v))))) * * * * [misc]progress: [ 168 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (314 enodes) * [exit]simplify: Simplified to (/ (/ (/ (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ t (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))))) (/ (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (/ (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ t (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))))) (/ (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (/ (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))))) * * * * [misc]progress: [ 169 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (267 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (/ t (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (/ t (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))))) (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))))) * * * * [misc]progress: [ 170 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) 1))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (250 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (/ t (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))))) (/ (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))) (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (/ t (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))))) (/ (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))) (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))))) (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (- 1 (* v v))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) 1))) (/ (* (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (- 1 (* v v))))) * * * * [misc]progress: [ 171 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (268 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (/ t (sqrt 1))) (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (/ t (sqrt 1))) (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (- 1 (* v v))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (- 1 (* v v))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))))) * * * * [misc]progress: [ 172 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (268 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (* (cbrt (sqrt 2)) (/ t (sqrt 1))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (* (cbrt (sqrt 2)) (/ t (sqrt 1))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (cbrt (sqrt (- 1 (* 3 (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (cbrt (sqrt 2))))) (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (cbrt (sqrt (- 1 (* 3 (* v v))))))))) * * * * [misc]progress: [ 173 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (268 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt 1) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) (* (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2)))))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (sqrt 1) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) (* (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2)))))) t)) (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))))) * * * * [misc]progress: [ 174 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (cbrt 1)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (267 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (/ (/ (* (cbrt 1) t) (sqrt 1)) (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (/ (/ (* (cbrt 1) t) (sqrt 1)) (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))) (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (cbrt 1)))) (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 175 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (314 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (/ t (sqrt 1)))) (* (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (/ (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (/ t (sqrt 1)))) (* (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (- 1 (* v v))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (- 1 (* v v))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))))) * * * * [misc]progress: [ 176 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (267 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (* (/ t (sqrt 1)) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (* (/ t (sqrt 1)) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))))) (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (- 1 (* v v))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (- 1 (* v v))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))))) * * * * [misc]progress: [ 177 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) 1))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (250 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (/ t (sqrt 1))) (/ (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (/ t (sqrt 1))) (/ (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))))) (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) 1))) (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 178 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (268 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (/ t (sqrt (- 1 (* (* 5 v) v))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (/ t (sqrt (- 1 (* (* 5 v) v))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (* (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))))) * * * * [misc]progress: [ 179 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (268 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (/ (* (cbrt (sqrt 2)) t) (sqrt (- 1 (* (* 5 v) v)))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (/ (* (cbrt (sqrt 2)) t) (sqrt (- 1 (* (* 5 v) v)))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (/ (- 1 (* v v)) (sqrt (/ 1 PI)))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (cbrt (sqrt (- 1 (* 3 (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt 2))))) (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (/ (- 1 (* v v)) (sqrt (/ 1 PI)))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (cbrt (sqrt (- 1 (* 3 (* v v))))))))) * * * * [misc]progress: [ 180 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (268 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (- 1 (* (* 5 v) v))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) (* (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2)))))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (sqrt (- 1 (* (* 5 v) v))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) (* (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2)))))) t)) (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (/ (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (/ (- 1 (* v v)) (sqrt (/ 1 PI)))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (/ (- 1 (* v v)) (sqrt (/ 1 PI)))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))))) * * * * [misc]progress: [ 181 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (267 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (/ (/ (* (cbrt 1) t) (sqrt (- 1 (* (* v v) 5)))) (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (/ (/ (* (cbrt 1) t) (sqrt (- 1 (* (* v v) 5)))) (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))) (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (/ (- 1 (* v v)) (sqrt (/ 1 PI))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt 1)))) (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (/ (- 1 (* v v)) (sqrt (/ 1 PI))))))) * * * * [misc]progress: [ 182 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (314 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (/ t (sqrt (- 1 (* (* 5 v) v)))))) (* (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (/ (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (/ t (sqrt (- 1 (* (* 5 v) v)))))) (* (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (* (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))))) * * * * [misc]progress: [ 183 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (267 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (* (/ t (sqrt (- 1 (* (* v v) 5)))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (* (/ t (sqrt (- 1 (* (* v v) 5)))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))))) (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ 1 PI)) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (* (/ (sqrt (/ 1 PI)) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))))) * * * * [misc]progress: [ 184 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) 1))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (250 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (/ t (sqrt (- 1 (* (* v v) 5))))) (/ (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (/ t (sqrt (- 1 (* (* v v) 5))))) (/ (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))))) (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (/ (- 1 (* v v)) (sqrt (/ 1 PI))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) 1))) (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (/ (- 1 (* v v)) (sqrt (/ 1 PI))))))) * * * * [misc]progress: [ 185 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (268 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) (* (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) (* (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) t)) (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))))) * * * * [misc]progress: [ 186 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (268 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) (* (cbrt (sqrt 2)) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) (* (cbrt (sqrt 2)) t)) (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt 2))))) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))))) * * * * [misc]progress: [ 187 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (268 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) (* (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2)))))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) (* (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2)))))) t)) (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (- 1 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (- 1 (* v v))))))) * * * * [misc]progress: [ 188 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (267 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (/ t (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt 1))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (/ t (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt 1))) (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (- 1 (* v v))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt 1)))) (/ (* (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (- 1 (* v v))))) * * * * [misc]progress: [ 189 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (314 enodes) * [exit]simplify: Simplified to (/ (/ (/ (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ t (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))))) (/ (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (/ (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ t (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))))) (/ (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (/ (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))))) * * * * [misc]progress: [ 190 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (267 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (/ t (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (/ t (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))))) (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))))) * * * * [misc]progress: [ 191 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) 1))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (250 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (/ t (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))))) (/ (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))) (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (/ t (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))))) (/ (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))) (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))))) (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (- 1 (* v v))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) 1))) (/ (* (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (- 1 (* v v))))) * * * * [misc]progress: [ 192 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (250 enodes) * [exit]simplify: Simplified to (/ (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ t (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ t (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (- 1 (* v v))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (- 1 (* v v))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))))) * * * * [misc]progress: [ 193 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (250 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (* (cbrt (sqrt 2)) t) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (* (cbrt (sqrt 2)) t) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (cbrt (sqrt (- 1 (* 3 (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 (cbrt (sqrt 2))))) (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (cbrt (sqrt (- 1 (* 3 (* v v))))))))) * * * * [misc]progress: [ 194 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (250 enodes) * [exit]simplify: Simplified to (/ (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ t (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ t (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))))) * * * * [misc]progress: [ 195 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 (cbrt 1)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (249 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (* (cbrt 1) t)) (/ (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (* (cbrt 1) t)) (/ (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))))) (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 (cbrt 1)))) (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 196 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (290 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) t) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))))) (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) t) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))))) (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))))) (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (- 1 (* v v))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (- 1 (* v v))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))))) * * * * [misc]progress: [ 197 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (249 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (sqrt (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))))) (/ (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (sqrt (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))))) (/ (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) t)) (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (- 1 (* v v))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (- 1 (* v v))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))))) * * * * [misc]progress: [ 198 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 1))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * * [misc]simplify: iters left: 2 (353 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) t) (/ (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) t) (/ (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 1))) (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 199 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t 1)) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * * [misc]simplify: iters left: 1 (367 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) (* t (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) (* t (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))))) (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t 1)) (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 200 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (sqrt (/ (- 1 (* (* v v) 5)) PI)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (/ t (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (/ t (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))) (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (274 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (- 1 (* v v))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (- 1 (* v v))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))))) * * * * [misc]progress: [ 201 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) t) (/ (cbrt (sqrt (* 2 (- 1 (* (* v v) 3))))) (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))))) (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (+ (* (* (* v 3) (* (- v) 2)) (* (* (* v v) 3) (* (* v v) 3))) 2))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) t) (/ (cbrt (sqrt (* 2 (- 1 (* (* v v) 3))))) (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))))) (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (+ (* (* (* v 3) (* (- v) 2)) (* (* (* v v) 3) (* (* v v) 3))) 2))))) (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * * [misc]simplify: iters left: 3 (386 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (- 1 (* v v))) (cbrt (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3)))))))) (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (- 1 (* v v))) (cbrt (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v))))))))) * * * * [misc]progress: [ 202 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (379 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) t) (cbrt (sqrt (- 2 (* (* (* v v) 3) (* (* v v) (* 3 2))))))) (* (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) t) (cbrt (sqrt (- 2 (* (* (* v v) 3) (* (* v v) (* 3 2))))))) (* (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* v 3) v)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* v 3) v)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (/ (cbrt (sqrt (+ (* 3 (* v v)) 1))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v))))))))) (* (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (/ (cbrt (sqrt (+ (* 3 (* v v)) 1))) (- 1 (* v v)))))) * * * * [misc]progress: [ 203 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) 1) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (368 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (296 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (- t (* t (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) 1) (/ (/ (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (- t (* t (* v v)))))))) * * * * [misc]progress: [ 204 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (* t (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (234 enodes) * * [misc]simplify: iters left: 2 (457 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) (* (- t (* (* v t) v)) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) (* (- t (* (* v t) v)) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ 1 (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ 1 (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * * [misc]simplify: iters left: 2 (405 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (* t (- 1 (* v v)))) (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 205 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (* t (- 1 (* v v))) (sqrt (/ (- 1 (* (* v v) 5)) PI)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (301 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (/ (- t (* (* v v) t)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) (/ (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))) (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (/ (- t (* (* v v) t)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) (/ (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))) (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))) (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (234 enodes) * * [misc]simplify: iters left: 1 (326 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (* t (- 1 (* v v))) (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 206 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (* (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (216 enodes) * * [misc]simplify: iters left: 2 (407 enodes) * [exit]simplify: Simplified to (/ (/ (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (* (/ (- t (* (* v t) v)) (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (cbrt (* (/ (- t (* (* v t) v)) (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (* (/ (- t (* (* v t) v)) (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (cbrt (* (/ (- t (* (* v t) v)) (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (201 enodes) * * [misc]simplify: iters left: 2 (388 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (/ (- t (* v (* t v))) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (* (/ (- t (* (* v t) v)) (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (cbrt (* (/ (- t (* (* v t) v)) (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (/ (- t (* v (* t v))) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))))))) * * * * [misc]progress: [ 207 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * * [misc]simplify: iters left: 2 (397 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (sqrt (/ (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (- t (* (* v t) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (sqrt (/ (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (- t (* (* v t) v)))))) (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (201 enodes) * * [misc]simplify: iters left: 2 (388 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (sqrt (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (/ (- t (* v (* t v))) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (sqrt (/ (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (- t (* (* v t) v)))))) (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (sqrt (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (/ (- t (* v (* t v))) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))))))) * * * * [misc]progress: [ 208 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (188 enodes) * * [misc]simplify: iters left: 2 (349 enodes) * [exit]simplify: Simplified to (* (* (cbrt (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) t)) (/ (cbrt (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (* (cbrt (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) t)) (/ (cbrt (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * * [misc]simplify: iters left: 2 (325 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (* (* (cbrt (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) t)) (/ (cbrt (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))))) * * * * [misc]progress: [ 209 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * * [misc]simplify: iters left: 1 (387 enodes) * [exit]simplify: Simplified to (* (/ (/ (fabs (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) t) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (sqrt (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (fabs (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) t) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (sqrt (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))))) (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * * [misc]simplify: iters left: 2 (325 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (sqrt (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (* (/ (/ (fabs (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) t) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (sqrt (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))))) (* (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (sqrt (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))))) * * * * [misc]progress: [ 210 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (256 enodes) * [exit]simplify: Simplified to (/ (/ (* (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (* t (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (cbrt (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (* t (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (cbrt (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))) (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (- 1 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (* t (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (cbrt (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))) (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (- 1 (* v v))))))) * * * * [misc]progress: [ 211 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (256 enodes) * [exit]simplify: Simplified to (/ (/ (* (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (* t (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (* t (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))) (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (244 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (* (- 1 (* v v)) (cbrt (sqrt (- 1 (* 3 (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (* t (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))) (/ (* (/ (sqrt (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (* (- 1 (* v v)) (cbrt (sqrt (- 1 (* 3 (* v v))))))))) * * * * [misc]progress: [ 212 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (256 enodes) * [exit]simplify: Simplified to (/ (/ (* (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (* t (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (* t (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))) (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (244 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (* (- 1 (* v v)) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (* t (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))) (/ (* (/ (sqrt (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (* (- 1 (* v v)) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))))))) * * * * [misc]progress: [ 213 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (255 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (/ (cbrt 1) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) (/ t (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (/ (cbrt 1) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) (/ t (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))))) (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (/ (cbrt 1) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) (/ t (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))))) (/ (* (/ (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * * * * [misc]progress: [ 214 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (344 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (/ (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) t) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (* (/ (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (/ (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) t) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (- 1 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (* (* (/ (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (/ (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) t) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (- 1 (* v v))))))) * * * * [misc]progress: [ 215 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (255 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (sqrt (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))))) (/ t (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (sqrt (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))))) (/ t (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))))) (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (- 1 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (sqrt (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))))) (/ t (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))))) (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (- 1 (* v v))))))) * * * * [misc]progress: [ 216 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) 1))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * * [misc]simplify: iters left: 2 (498 enodes) * [exit]simplify: Simplified to (* (/ (* (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (/ (fabs (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (* (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (/ (fabs (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) t)) (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (* (/ (* (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (/ (fabs (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) t)) (/ (* (/ (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * * * * [misc]progress: [ 217 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * * [misc]simplify: iters left: 2 (364 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) t) (/ (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (/ (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) t) (/ (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (240 enodes) * [exit]simplify: Simplified to (/ (/ (/ (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (/ (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) t) (/ (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ (/ (/ (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))))) * * * * [misc]progress: [ 218 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * * [misc]simplify: iters left: 2 (364 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt 2))) (* t (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt 2))) (* t (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt 2))) (* t (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (/ (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 219 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * * [misc]simplify: iters left: 2 (364 enodes) * [exit]simplify: Simplified to (/ (/ (/ (* (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 2 3))))))) t) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (* (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 2 3))))))) t) (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (/ (/ (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (* (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 2 3))))))) t) (/ (/ (/ (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))))) * * * * [misc]progress: [ 220 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (366 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (* (* t (cbrt 1)) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (* (* t (cbrt 1)) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))))) (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (* (* t (cbrt 1)) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))))) (/ (/ (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 221 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (245 enodes) * * [misc]simplify: iters left: 2 (499 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* (* t (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* (* t (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (240 enodes) * [exit]simplify: Simplified to (/ (/ (/ (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* (* t (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ (/ (/ (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))))) * * * * [misc]progress: [ 222 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (366 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (* (sqrt (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (* t (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (* (sqrt (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (* t (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))))) (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (240 enodes) * [exit]simplify: Simplified to (/ (/ (/ (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (* (sqrt (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (* t (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))))) (/ (/ (/ (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))))) * * * * [misc]progress: [ 223 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) 1))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (320 enodes) * * [misc]simplify: iters left: 1 (472 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (* t (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (* t (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (* t (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (/ (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 224 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (210 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (/ (/ (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (/ t (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (/ t (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))))) (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (- 1 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (/ t (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))))) (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (- 1 (* v v))))))) * * * * [misc]progress: [ 225 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (210 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (/ (* (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (* (* (cbrt (sqrt 2)) t) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (* (* (cbrt (sqrt 2)) t) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))))) (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (244 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (* (- 1 (* v v)) (cbrt (sqrt (- 1 (* 3 (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (* (* (cbrt (sqrt 2)) t) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))))) (/ (* (/ (sqrt (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (* (- 1 (* v v)) (cbrt (sqrt (- 1 (* 3 (* v v))))))))) * * * * [misc]progress: [ 226 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (210 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (* (/ (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (cbrt (sqrt (sqrt (- 2 (* (* v 3) (* 2 v))))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (cbrt (sqrt (sqrt (- 2 (* (* v 3) (* 2 v))))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) t)) (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (244 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (* (- 1 (* v v)) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (* (/ (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (cbrt (sqrt (sqrt (- 2 (* (* v 3) (* 2 v))))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) t)) (/ (* (/ (sqrt (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (* (- 1 (* v v)) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))))))) * * * * [misc]progress: [ 227 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (209 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (* (cbrt 1) t))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (* (cbrt 1) t))) (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (* (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (* (cbrt 1) t))) (/ (* (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * * * * [misc]progress: [ 228 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (248 enodes) * [exit]simplify: Simplified to (/ (* (/ (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) t) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (* (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (/ (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) t) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (* (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (- 1 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (/ (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) t) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (* (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (- 1 (* v v))))))) * * * * [misc]progress: [ 229 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (209 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (/ (/ (* (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) (sqrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (* t (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) (sqrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (* t (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (- 1 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) (sqrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (* t (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (- 1 (* v v))))))) * * * * [misc]progress: [ 230 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) 1))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (347 enodes) * * [misc]simplify: iters left: 1 (491 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) t)) (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (* (/ (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) t)) (/ (* (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * * * * [misc]progress: [ 231 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (209 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (/ (/ (* (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (sqrt 1)) (* t (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (sqrt 1)) (* t (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (sqrt 1)) (* t (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))))) * * * * [misc]progress: [ 232 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (209 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt 1) (cbrt (sqrt 2))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (sqrt 1) (cbrt (sqrt 2))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) t)) (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (* (/ (/ (sqrt 1) (cbrt (sqrt 2))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) t)) (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))))))) * * * * [misc]progress: [ 233 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (209 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (* t (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (sqrt 1))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (* t (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (sqrt 1))) (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (* t (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (sqrt 1))) (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))))))) * * * * [misc]progress: [ 234 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (cbrt 1)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (208 enodes) * * [misc]simplify: iters left: 2 (379 enodes) * [exit]simplify: Simplified to (/ (* (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (/ (sqrt 1) (cbrt 1))) (* t (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (/ (sqrt 1) (cbrt 1))) (* t (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (/ (sqrt 1) (cbrt 1))) (* t (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))))) * * * * [misc]progress: [ 235 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (247 enodes) * [exit]simplify: Simplified to (/ (* (/ (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) t) (/ (sqrt 1) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (* (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (/ (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) t) (/ (sqrt 1) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (* (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (/ (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) t) (/ (sqrt 1) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (* (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))))) * * * * [misc]progress: [ 236 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (208 enodes) * * [misc]simplify: iters left: 2 (379 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (* t (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (sqrt 1) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (* t (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (sqrt 1) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (* (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (* t (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (sqrt 1) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))))) * * * * [misc]progress: [ 237 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) 1))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (188 enodes) * * [misc]simplify: iters left: 2 (348 enodes) * * [misc]simplify: iters left: 1 (488 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (/ t (sqrt 1))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (/ t (sqrt 1))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (/ t (sqrt 1))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))))) * * * * [misc]progress: [ 238 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (209 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (/ (/ (* (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (sqrt (- 1 (* (* v v) 5)))) (* t (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (sqrt (- 1 (* (* v v) 5)))) (* t (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (sqrt (- 1 (* (* v v) 5)))) (* t (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (* (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))))) * * * * [misc]progress: [ 239 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (209 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt 2))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt 2))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) t)) (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (/ (- 1 (* v v)) (sqrt (/ 1 PI)))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (cbrt (sqrt (- 1 (* 3 (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (* (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt 2))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) t)) (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (/ (- 1 (* v v)) (sqrt (/ 1 PI)))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (cbrt (sqrt (- 1 (* 3 (* v v))))))))) * * * * [misc]progress: [ 240 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (209 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (* t (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (sqrt (- 1 (* (* v v) 5))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (* t (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (sqrt (- 1 (* (* v v) 5))))) (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (/ (- 1 (* v v)) (sqrt (/ 1 PI)))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (* t (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (sqrt (- 1 (* (* v v) 5))))) (/ (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (/ (- 1 (* v v)) (sqrt (/ 1 PI)))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))))) * * * * [misc]progress: [ 241 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (208 enodes) * * [misc]simplify: iters left: 2 (379 enodes) * [exit]simplify: Simplified to (/ (* (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (/ (sqrt (- 1 (* (* 5 v) v))) (cbrt 1))) (* t (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (/ (sqrt (- 1 (* (* 5 v) v))) (cbrt 1))) (* t (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (/ (- 1 (* v v)) (sqrt (/ 1 PI))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (/ (sqrt (- 1 (* (* 5 v) v))) (cbrt 1))) (* t (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (/ (- 1 (* v v)) (sqrt (/ 1 PI))))))) * * * * [misc]progress: [ 242 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (247 enodes) * [exit]simplify: Simplified to (/ (* (/ (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) t) (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (* (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (/ (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) t) (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (* (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (/ (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) t) (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (* (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (* (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))))) * * * * [misc]progress: [ 243 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (208 enodes) * * [misc]simplify: iters left: 2 (379 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (* t (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (sqrt (- 1 (* (* 5 v) v))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (* t (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (sqrt (- 1 (* (* 5 v) v))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ 1 PI)) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (* (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (* t (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (sqrt (- 1 (* (* 5 v) v))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (* (/ (sqrt (/ 1 PI)) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))))) * * * * [misc]progress: [ 244 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) 1))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (188 enodes) * * [misc]simplify: iters left: 2 (348 enodes) * * [misc]simplify: iters left: 1 (488 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (/ t (sqrt (- 1 (* (* v v) 5))))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (/ t (sqrt (- 1 (* (* v v) 5))))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (/ (- 1 (* v v)) (sqrt (/ 1 PI))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (/ t (sqrt (- 1 (* (* v v) 5))))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (/ (- 1 (* v v)) (sqrt (/ 1 PI))))))) * * * * [misc]progress: [ 245 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (210 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (/ (/ (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (/ t (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (/ t (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))))) (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (- 1 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (/ t (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))))) (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (- 1 (* v v))))))) * * * * [misc]progress: [ 246 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (210 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (/ (* (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (* (* (cbrt (sqrt 2)) t) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (* (* (cbrt (sqrt 2)) t) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))))) (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (244 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (* (- 1 (* v v)) (cbrt (sqrt (- 1 (* 3 (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (* (* (cbrt (sqrt 2)) t) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))))) (/ (* (/ (sqrt (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (* (- 1 (* v v)) (cbrt (sqrt (- 1 (* 3 (* v v))))))))) * * * * [misc]progress: [ 247 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (210 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (* (/ (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (cbrt (sqrt (sqrt (- 2 (* (* v 3) (* 2 v))))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (cbrt (sqrt (sqrt (- 2 (* (* v 3) (* 2 v))))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) t)) (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (244 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (* (- 1 (* v v)) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (* (/ (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (cbrt (sqrt (sqrt (- 2 (* (* v 3) (* 2 v))))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) t)) (/ (* (/ (sqrt (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (* (- 1 (* v v)) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))))))) * * * * [misc]progress: [ 248 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (209 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (* (cbrt 1) t))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (* (cbrt 1) t))) (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (* (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (* (cbrt 1) t))) (/ (* (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * * * * [misc]progress: [ 249 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (248 enodes) * [exit]simplify: Simplified to (/ (* (/ (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) t) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (* (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (/ (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) t) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (* (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (- 1 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (/ (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) t) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (* (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (- 1 (* v v))))))) * * * * [misc]progress: [ 250 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (209 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (/ (/ (* (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) (sqrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (* t (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) (sqrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (* t (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (- 1 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) (sqrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (* t (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (- 1 (* v v))))))) * * * * [misc]progress: [ 251 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) 1))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (347 enodes) * * [misc]simplify: iters left: 1 (491 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) t)) (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (* (/ (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) t)) (/ (* (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * * * * [misc]progress: [ 252 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (198 enodes) * * [misc]simplify: iters left: 2 (388 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (* t (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (* t (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))))) (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (* t (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))))) (/ (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))))) * * * * [misc]progress: [ 253 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (198 enodes) * * [misc]simplify: iters left: 2 (388 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) t) (* (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))) (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) t) (* (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))) (cbrt (sqrt 2)))) (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) t) (* (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))) (cbrt (sqrt 2)))) (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))))))) * * * * [misc]progress: [ 254 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (198 enodes) * * [misc]simplify: iters left: 2 (388 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) t) (* (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))) (cbrt (sqrt (sqrt (- 2 (* (* 2 v) (* v 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) t) (* (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))) (cbrt (sqrt (sqrt (- 2 (* (* 2 v) (* v 3)))))))) (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) t) (* (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))) (cbrt (sqrt (sqrt (- 2 (* (* 2 v) (* v 3)))))))) (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))))))) * * * * [misc]progress: [ 255 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 (cbrt 1)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (196 enodes) * * [misc]simplify: iters left: 2 (385 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (* t (cbrt 1))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (* t (cbrt 1))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (* t (cbrt 1))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))))) * * * * [misc]progress: [ 256 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (231 enodes) * * [misc]simplify: iters left: 2 (493 enodes) * [exit]simplify: Simplified to (/ (/ (/ (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) t) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (* (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) t) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (* (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) t) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (* (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))))) * * * * [misc]progress: [ 257 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (196 enodes) * * [misc]simplify: iters left: 2 (385 enodes) * [exit]simplify: Simplified to (/ (/ (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) t) (sqrt (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) t) (sqrt (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) t) (sqrt (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (/ (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))))) * * * * [misc]progress: [ 258 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 1))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (265 enodes) * * [misc]simplify: iters left: 1 (399 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) t) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) t) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) t) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))))) * * * * [misc]progress: [ 259 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t 1)) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * * [misc]simplify: iters left: 1 (332 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) t) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) t) (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) t) (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))))) * * * * [misc]progress: [ 260 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (sqrt (/ (- 1 (* (* v v) 5)) PI)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * * [misc]simplify: iters left: 2 (275 enodes) * * [misc]simplify: iters left: 1 (380 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (/ (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (/ (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (274 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (- 1 (* v v))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (* (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (/ (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (- 1 (* v v))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))))) * * * * [misc]progress: [ 261 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3)))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * * [misc]simplify: iters left: 3 (468 enodes) * [exit]simplify: Simplified to (/ (/ (/ (fabs (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) t) (cbrt (sqrt (- 2 (* (pow (* v 3) 3) (* (* v v) (* 2 v))))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (fabs (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) t) (cbrt (sqrt (- 2 (* (pow (* v 3) 3) (* (* v v) (* 2 v))))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * * [misc]simplify: iters left: 3 (386 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (- 1 (* v v))) (cbrt (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (fabs (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) t) (cbrt (sqrt (- 2 (* (pow (* v 3) 3) (* (* v v) (* 2 v))))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) (* (/ (/ (sqrt (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (- 1 (* v v))) (cbrt (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v))))))))) * * * * [misc]progress: [ 262 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * * [misc]simplify: iters left: 3 (320 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (/ t (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v 3)) (* (* v v) (* v 3)))))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (/ t (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v 3)) (* (* v v) (* v 3)))))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))))) (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* v 3) v)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* v 3) v)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (/ (cbrt (sqrt (+ (* 3 (* v v)) 1))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (/ t (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v 3)) (* (* v v) (* v 3)))))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))))) (* (/ (sqrt (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (/ (cbrt (sqrt (+ (* 3 (* v v)) 1))) (- 1 (* v v)))))) * * * * [misc]progress: [ 263 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) 1) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * * [misc]simplify: iters left: 1 (339 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (297 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (/ (- t (* t (* v v))) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (/ (- t (* t (* v v))) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))))) * * * * [misc]progress: [ 264 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (* t (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (182 enodes) * * [misc]simplify: iters left: 2 (334 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (* (- t (* v (* v t))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (* (- t (* v (* v t))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))))) (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ 1 (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ 1 (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (208 enodes) * * [misc]simplify: iters left: 2 (414 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (* (- t (* v (* v t))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))))) (* (/ (sqrt (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))))) * * * * [misc]progress: [ 265 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (* t (- 1 (* v v))) (sqrt (/ (- 1 (* (* v v) 5)) PI)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (240 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (- t (* (* v v) t))) (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (- t (* (* v v) t))) (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (234 enodes) * * [misc]simplify: iters left: 1 (326 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (* (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (- t (* (* v v) t))) (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 266 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (* (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (403 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (* (cbrt (/ (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (- t (* v (* t v)))))) (cbrt (/ (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (- t (* v (* t v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (* (cbrt (/ (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (- t (* v (* t v)))))) (cbrt (/ (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (- t (* v (* t v)))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * * [misc]simplify: iters left: 2 (389 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (* (/ (- t (* (* t v) v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (* (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (* (/ (- t (* (* t v) v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))))) * * * * [misc]progress: [ 267 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * * [misc]simplify: iters left: 2 (389 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (sqrt (* (/ (- t (* (* t v) v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (sqrt (* (/ (- t (* (* t v) v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * * [misc]simplify: iters left: 2 (389 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (sqrt (* (/ (- t (* (* t v) v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (sqrt (* (/ (- t (* (* t v) v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))))) * * * * [misc]progress: [ 268 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (340 enodes) * * [misc]simplify: iters left: 1 (494 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))))) (/ (/ (* (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))) t) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (cbrt (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))))) (/ (/ (* (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))) t) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (325 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (cbrt (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))))))) * * * * [misc]progress: [ 269 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (272 enodes) * * [misc]simplify: iters left: 1 (377 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) t))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (sqrt (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) t))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (325 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (sqrt (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))))))) * * * * [misc]progress: [ 270 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (251 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) t) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (* (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) t) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (* (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))))) * * * * [misc]progress: [ 271 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (251 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (* t (cbrt (sqrt 2)))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (* (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (* t (cbrt (sqrt 2)))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (* (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt 2))))) (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))))) * * * * [misc]progress: [ 272 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (251 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) t) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (* (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) t) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (* (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (- 1 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (- 1 (* v v))))))) * * * * [misc]progress: [ 273 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (250 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (/ (cbrt 1) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) t))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (/ (cbrt 1) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) t))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (- 1 (* v v))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt 1)))) (/ (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (- 1 (* v v))))) * * * * [misc]progress: [ 274 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (337 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))))) (/ (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) t) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))))) (/ (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) t) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))))) * * * * [misc]progress: [ 275 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (250 enodes) * [exit]simplify: Simplified to (* (/ (* (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) t))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (* (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) t))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))))) * * * * [misc]progress: [ 276 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) 1))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (210 enodes) * * [misc]simplify: iters left: 2 (470 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) t) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (* (/ (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) t) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (- 1 (* v v))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) 1))) (/ (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (- 1 (* v v))))) * * * * [misc]progress: [ 277 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (208 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (/ (/ (* (fabs (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) t)) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (fabs (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) t)) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (- 1 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (fabs (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) t)) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (- 1 (* v v))))))) * * * * [misc]progress: [ 278 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (208 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (/ (* (fabs (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (* (* (cbrt (sqrt 2)) t) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (fabs (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (* (* (cbrt (sqrt 2)) t) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (244 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (sqrt (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (* (- 1 (* v v)) (cbrt (sqrt (- 1 (* 3 (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (fabs (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (* (* (cbrt (sqrt 2)) t) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (* (/ (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (sqrt (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (* (- 1 (* v v)) (cbrt (sqrt (- 1 (* 3 (* v v))))))))) * * * * [misc]progress: [ 279 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (208 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (/ (* (fabs (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (* (* (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) t) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (fabs (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (* (* (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) t) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (244 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (sqrt (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (* (- 1 (* v v)) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (fabs (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (* (* (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) t) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ (* (/ (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (sqrt (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (* (- 1 (* v v)) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))))))) * * * * [misc]progress: [ 280 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * * [misc]simplify: iters left: 2 (378 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (* t (cbrt 1)))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (* t (cbrt 1)))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (* t (cbrt 1)))) (/ (* (/ (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * * * * [misc]progress: [ 281 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (246 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) t) (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (* (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) t) (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (* (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (- 1 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) t) (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (* (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))))) (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (- 1 (* v v))))))) * * * * [misc]progress: [ 282 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * * [misc]simplify: iters left: 2 (378 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (/ (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) t) (sqrt (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (/ (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) t) (sqrt (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (- 1 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (/ (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) t) (sqrt (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))))) (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (- 1 (* v v))))))) * * * * [misc]progress: [ 283 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) 1))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (355 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) (* t (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) (* t (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) (* t (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (* (/ (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * * * * [misc]progress: [ 284 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (362 enodes) * * [misc]simplify: iters left: 1 (492 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (240 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))))) (/ (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))))) * * * * [misc]progress: [ 285 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (362 enodes) * * [misc]simplify: iters left: 1 (492 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (* (cbrt (sqrt 2)) t)) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (* (cbrt (sqrt 2)) t)) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (* (cbrt (sqrt 2)) t)) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 286 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (362 enodes) * * [misc]simplify: iters left: 1 (492 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (cbrt (sqrt (sqrt (- 2 (* (* 2 v) (* 3 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (cbrt (sqrt (sqrt (- 2 (* (* 2 v) (* 3 v))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (cbrt (sqrt (sqrt (- 2 (* (* 2 v) (* 3 v))))))) (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))))) * * * * [misc]progress: [ 287 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * * [misc]simplify: iters left: 2 (359 enodes) * * [misc]simplify: iters left: 1 (488 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (* t (cbrt 1))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (* t (cbrt 1))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (* t (cbrt 1))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 288 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * * [misc]simplify: iters left: 2 (498 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* t (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* t (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (240 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* t (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))))) * * * * [misc]progress: [ 289 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * * [misc]simplify: iters left: 2 (359 enodes) * * [misc]simplify: iters left: 1 (488 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) t) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) t) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (240 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) t) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))))) * * * * [misc]progress: [ 290 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) 1))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * * [misc]simplify: iters left: 2 (306 enodes) * * [misc]simplify: iters left: 1 (425 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 291 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) t) (/ (sqrt 1) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) t) (/ (sqrt 1) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (- 1 (* v v))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (- 1 (* v v))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))))) * * * * [misc]progress: [ 292 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) t) (/ (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (/ (sqrt 1) (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) t) (/ (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (/ (sqrt 1) (cbrt (sqrt 2))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (cbrt (sqrt (- 1 (* 3 (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (cbrt (sqrt 2))))) (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (cbrt (sqrt (- 1 (* 3 (* v v))))))))) * * * * [misc]progress: [ 293 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) t) (* (/ (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (sqrt 1)) (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) t) (* (/ (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (sqrt 1)) (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))))) * * * * [misc]progress: [ 294 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (cbrt 1)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (204 enodes) * * [misc]simplify: iters left: 2 (377 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) t) (/ (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))) (/ (sqrt 1) (cbrt 1)))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) t) (/ (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))) (/ (sqrt 1) (cbrt 1)))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (cbrt 1)))) (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 295 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) t) (/ (sqrt 1) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (* (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (/ (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) t) (/ (sqrt 1) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (* (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (- 1 (* v v))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (- 1 (* v v))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))))) * * * * [misc]progress: [ 296 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (204 enodes) * * [misc]simplify: iters left: 2 (377 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) t) (* (/ (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))) (sqrt 1)) (sqrt (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) t) (* (/ (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))) (sqrt 1)) (sqrt (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (- 1 (* v v))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (- 1 (* v v))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))))) * * * * [misc]progress: [ 297 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) 1))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (355 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) t) (/ (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))) (sqrt 1))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) t) (/ (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))) (sqrt 1))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) 1))) (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 298 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) t) (/ (sqrt (- 1 (* (* 5 v) v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) t) (/ (sqrt (- 1 (* (* 5 v) v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (* (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))))) * * * * [misc]progress: [ 299 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) t) (/ (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (/ (sqrt (- 1 (* (* 5 v) v))) (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) t) (/ (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (/ (sqrt (- 1 (* (* 5 v) v))) (cbrt (sqrt 2))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (/ (- 1 (* v v)) (sqrt (/ 1 PI)))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (cbrt (sqrt (- 1 (* 3 (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt 2))))) (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (/ (- 1 (* v v)) (sqrt (/ 1 PI)))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (cbrt (sqrt (- 1 (* 3 (* v v))))))))) * * * * [misc]progress: [ 300 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) t) (* (/ (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (sqrt (- 1 (* (* 5 v) v)))) (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) t) (* (/ (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (sqrt (- 1 (* (* 5 v) v)))) (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (/ (- 1 (* v v)) (sqrt (/ 1 PI)))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (/ (- 1 (* v v)) (sqrt (/ 1 PI)))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))))) * * * * [misc]progress: [ 301 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (204 enodes) * * [misc]simplify: iters left: 2 (377 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) t) (/ (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))) (/ (sqrt (- 1 (* (* v v) 5))) (cbrt 1)))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) t) (/ (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))) (/ (sqrt (- 1 (* (* v v) 5))) (cbrt 1)))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (/ (- 1 (* v v)) (sqrt (/ 1 PI))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt 1)))) (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (/ (- 1 (* v v)) (sqrt (/ 1 PI))))))) * * * * [misc]progress: [ 302 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) t) (/ (sqrt (- 1 (* (* 5 v) v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (* (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (/ (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) t) (/ (sqrt (- 1 (* (* 5 v) v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (* (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (* (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))))) * * * * [misc]progress: [ 303 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (204 enodes) * * [misc]simplify: iters left: 2 (377 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) t) (* (/ (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))) (sqrt (- 1 (* (* v v) 5)))) (sqrt (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) t) (* (/ (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))) (sqrt (- 1 (* (* v v) 5)))) (sqrt (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ 1 PI)) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (* (/ (sqrt (/ 1 PI)) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))))) * * * * [misc]progress: [ 304 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) 1))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (355 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) t) (/ (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))) (sqrt (- 1 (* (* v v) 5))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) t) (/ (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))) (sqrt (- 1 (* (* v v) 5))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (/ (- 1 (* v v)) (sqrt (/ 1 PI))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) 1))) (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (/ (- 1 (* v v)) (sqrt (/ 1 PI))))))) * * * * [misc]progress: [ 305 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (362 enodes) * * [misc]simplify: iters left: 1 (492 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (240 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))))) (/ (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))))) * * * * [misc]progress: [ 306 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (362 enodes) * * [misc]simplify: iters left: 1 (492 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (* (cbrt (sqrt 2)) t)) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (* (cbrt (sqrt 2)) t)) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (* (cbrt (sqrt 2)) t)) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 307 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (362 enodes) * * [misc]simplify: iters left: 1 (492 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (cbrt (sqrt (sqrt (- 2 (* (* 2 v) (* 3 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (cbrt (sqrt (sqrt (- 2 (* (* 2 v) (* 3 v))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (cbrt (sqrt (sqrt (- 2 (* (* 2 v) (* 3 v))))))) (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))))) * * * * [misc]progress: [ 308 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * * [misc]simplify: iters left: 2 (359 enodes) * * [misc]simplify: iters left: 1 (488 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (* t (cbrt 1))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (* t (cbrt 1))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (* t (cbrt 1))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 309 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * * [misc]simplify: iters left: 2 (498 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* t (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* t (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (240 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* t (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))))) * * * * [misc]progress: [ 310 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * * [misc]simplify: iters left: 2 (359 enodes) * * [misc]simplify: iters left: 1 (488 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) t) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) t) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (240 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) t) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))))) * * * * [misc]progress: [ 311 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) 1))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * * [misc]simplify: iters left: 2 (306 enodes) * * [misc]simplify: iters left: 1 (425 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 312 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (422 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) t)) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) t)) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (- 1 (* v v))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (- 1 (* v v))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))))) * * * * [misc]progress: [ 313 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (422 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (* (cbrt (sqrt 2)) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (* (cbrt (sqrt 2)) t)) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (cbrt (sqrt (- 1 (* 3 (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 (cbrt (sqrt 2))))) (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (cbrt (sqrt (- 1 (* 3 (* v v))))))))) * * * * [misc]progress: [ 314 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (422 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (* (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 2 3)))))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (* (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 2 3)))))) t)) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))))) * * * * [misc]progress: [ 315 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 (cbrt 1)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (417 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt 1)) (* (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt 1)) (* (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))) t)) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 (cbrt 1)))) (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 316 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) t) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (* (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) t) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (* (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (- 1 (* v v))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (- 1 (* v v))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))))) * * * * [misc]progress: [ 317 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (417 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (sqrt (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))))) t) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (sqrt (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))))) t) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (- 1 (* v v))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (- 1 (* v v))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))))) * * * * [misc]progress: [ 318 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 1))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (266 enodes) * * [misc]simplify: iters left: 1 (400 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) t) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) t) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) t) (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 319 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t 1)) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (240 enodes) * * [misc]simplify: iters left: 1 (329 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) t) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) t) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t 1)) (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 320 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (sqrt (/ (- 1 (* (* v v) 5)) PI)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (272 enodes) * * [misc]simplify: iters left: 1 (378 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ t (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ t (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (274 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (- 1 (* v v))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (- 1 (* v v))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))))) * * * * [misc]progress: [ 321 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3)))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (152 enodes) * * [misc]simplify: iters left: 3 (445 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* (* v v) (* 2 v)) (pow (* 3 v) 3)))))) (/ t (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* (* v v) (* 2 v)) (pow (* 3 v) 3)))))) (/ t (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * * [misc]simplify: iters left: 3 (386 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (- 1 (* v v))) (cbrt (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3)))))))) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (- 1 (* v v))) (cbrt (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v))))))))) * * * * [misc]progress: [ 322 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (131 enodes) * * [misc]simplify: iters left: 3 (309 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) t) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (/ (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) t) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (/ (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* v 3) v)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* v 3) v)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (/ (cbrt (sqrt (+ (* 3 (* v v)) 1))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v))))))))) (* (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (/ (cbrt (sqrt (+ (* 3 (* v v)) 1))) (- 1 (* v v)))))) * * * * [misc]progress: [ 323 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) 1) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (242 enodes) * * [misc]simplify: iters left: 1 (340 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (296 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (- t (* t (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) 1) (/ (/ (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (- t (* t (* v v)))))))) * * * * [misc]progress: [ 324 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (* t (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (318 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (- t (* t (* v v)))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (- t (* t (* v v)))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ 1 (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ 1 (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * * [misc]simplify: iters left: 2 (405 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (* t (- 1 (* v v)))) (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 325 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (* t (- 1 (* v v))) (sqrt (/ (- 1 (* (* v v) 5)) PI)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (235 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (- t (* (* t v) v))) (/ (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (- t (* (* t v) v))) (/ (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (234 enodes) * * [misc]simplify: iters left: 1 (326 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (* t (- 1 (* v v))) (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 326 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (* (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (213 enodes) * * [misc]simplify: iters left: 2 (406 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 1) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (cbrt (* (/ (- t (* (* t v) v)) (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (cbrt (* (/ (- t (* (* t v) v)) (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt 1) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (cbrt (* (/ (- t (* (* t v) v)) (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (cbrt (* (/ (- t (* (* t v) v)) (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (198 enodes) * * [misc]simplify: iters left: 2 (386 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (/ (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (- t (* (* v t) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (* (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (/ (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (- t (* (* v t) v)))))))) * * * * [misc]progress: [ 327 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * * [misc]simplify: iters left: 2 (391 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 1) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (sqrt (/ (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))) (- t (* v (* t v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt 1) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (sqrt (/ (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))) (- t (* v (* t v))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (198 enodes) * * [misc]simplify: iters left: 2 (386 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (sqrt (/ (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (- t (* (* v t) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (sqrt (/ (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (- t (* (* v t) v)))))))) * * * * [misc]progress: [ 328 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (185 enodes) * * [misc]simplify: iters left: 2 (346 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (* (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (cbrt (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (* (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (/ (- 1 (* v v)) (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (cbrt (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (/ (- 1 (* v v)) (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))))) * * * * [misc]progress: [ 329 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * * [misc]simplify: iters left: 2 (275 enodes) * * [misc]simplify: iters left: 1 (384 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))))) (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (sqrt (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))))) (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (/ (- 1 (* v v)) (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (sqrt (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (/ (- 1 (* v v)) (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))))) * * * * [misc]progress: [ 330 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (253 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (* (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))))) * * * * [misc]progress: [ 331 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (253 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt 2))))) (* (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))))) * * * * [misc]progress: [ 332 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (253 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (* (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (* (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (/ (- 1 (* v v)) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (/ (- 1 (* v v)) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))))) * * * * [misc]progress: [ 333 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (252 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt 1)) (/ (sqrt 1) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))))) (/ t (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt 1)) (/ (sqrt 1) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))))) (/ t (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt 1)))) (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))))) * * * * [misc]progress: [ 334 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (129 enodes) * * [misc]simplify: iters left: 3 (341 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (* (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (* (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))))) * * * * [misc]progress: [ 335 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (252 enodes) * [exit]simplify: Simplified to (* (/ (* (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (sqrt (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))))) (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (* (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (sqrt (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))))) (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (sqrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (sqrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))))) * * * * [misc]progress: [ 336 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) 1))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (212 enodes) * * [misc]simplify: iters left: 2 (475 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (* (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (* (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) 1))) (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))))) * * * * [misc]progress: [ 337 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (209 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (/ (/ (* (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (sqrt 1)) (* t (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))) (cbrt (sqrt (- 2 (* (* 3 2) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (sqrt 1)) (* t (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))) (cbrt (sqrt (- 2 (* (* 3 2) (* v v)))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (sqrt 1)) (* t (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))) (cbrt (sqrt (- 2 (* (* 3 2) (* v v)))))))) (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))))) * * * * [misc]progress: [ 338 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (209 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* 3 2) (* v v)))))) (/ (cbrt (sqrt 2)) (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* 3 2) (* v v)))))) (/ (cbrt (sqrt 2)) (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (/ (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* 3 2) (* v v)))))) (/ (cbrt (sqrt 2)) (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))))) (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (/ (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))))) * * * * [misc]progress: [ 339 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (209 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* 3 2) (* v v)))))) (/ (cbrt (sqrt (sqrt (- 2 (* (* 3 2) (* v v)))))) (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* 3 2) (* v v)))))) (/ (cbrt (sqrt (sqrt (- 2 (* (* 3 2) (* v v)))))) (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* 3 2) (* v v)))))) (/ (cbrt (sqrt (sqrt (- 2 (* (* 3 2) (* v v)))))) (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))))) (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))))) * * * * [misc]progress: [ 340 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (208 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (/ (fabs (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt 1))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (/ (fabs (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt 1))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (* (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (/ (fabs (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt 1))) (* (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))))) * * * * [misc]progress: [ 341 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (247 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt 1) t) (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))))) (* (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (/ (sqrt 1) t) (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))))) (* (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (/ (sqrt 1) t) (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))))) (* (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))))) (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))))) * * * * [misc]progress: [ 342 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (208 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (/ (fabs (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (sqrt (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (/ (fabs (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (sqrt (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (* (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (/ (fabs (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (sqrt (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))))) (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))))) * * * * [misc]progress: [ 343 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) 1))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (361 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (/ (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))) (/ (sqrt 1) t))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (/ (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))) (/ (sqrt 1) t))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (/ (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))) (/ (sqrt 1) t))) (* (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))))) * * * * [misc]progress: [ 344 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) t) (/ (sqrt 1) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) t) (/ (sqrt 1) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))))) * * * * [misc]progress: [ 345 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt 2))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (/ (sqrt 1) t))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt 2))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (/ (sqrt 1) t))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt 2))))) (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))))) * * * * [misc]progress: [ 346 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (/ (sqrt 1) t))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (/ (sqrt 1) t))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))))) * * * * [misc]progress: [ 347 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (* t (cbrt 1))) (/ (sqrt 1) (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (* t (cbrt 1))) (/ (sqrt 1) (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt 1)))) (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))))) * * * * [misc]progress: [ 348 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (245 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))))) * * * * [misc]progress: [ 349 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 1) (sqrt (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))))) (/ (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))) (/ (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) t))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt 1) (sqrt (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))))) (/ (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))) (/ (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) t))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (sqrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (sqrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))))) * * * * [misc]progress: [ 350 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) 1))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * * [misc]simplify: iters left: 2 (363 enodes) * [exit]simplify: Simplified to (* (/ (sqrt 1) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (/ (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (sqrt 1) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (/ (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) t)) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) 1))) (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))))) * * * * [misc]progress: [ 351 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * * [misc]simplify: iters left: 1 (340 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 t) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ 1 t) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 PI) (* (/ v PI) (* 5 v))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ 1 t) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))))) (/ (/ (- (/ 1 PI) (* (/ v PI) (* 5 v))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 352 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * * [misc]simplify: iters left: 1 (340 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 t) (cbrt (sqrt 2))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ 1 t) (cbrt (sqrt 2))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (240 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 PI) (* (* v v) (/ 5 PI))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ 1 t) (cbrt (sqrt 2))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (/ (/ (- (/ 1 PI) (* (* v v) (/ 5 PI))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 353 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * * [misc]simplify: iters left: 1 (340 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 t) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (cbrt (sqrt (sqrt (- 2 (* (* v 3) (* 2 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ 1 t) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (cbrt (sqrt (sqrt (- 2 (* (* v 3) (* 2 v))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (240 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 PI) (* (* v v) (/ 5 PI))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ 1 t) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (cbrt (sqrt (sqrt (- 2 (* (* v 3) (* 2 v))))))) (/ (/ (- (/ 1 PI) (* (* v v) (/ 5 PI))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 354 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (cbrt 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * * [misc]simplify: iters left: 1 (351 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 t) (cbrt 1)) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ 1 t) (cbrt 1)) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 PI) (/ (* 5 v) (/ PI v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ 1 t) (cbrt 1)) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (/ (- (/ 1 PI) (/ (* 5 v) (/ PI v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 355 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * * [misc]simplify: iters left: 2 (396 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 t) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (* (cbrt (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ 1 t) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (* (cbrt (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 PI) (* (/ v PI) (* 5 v))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ 1 t) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (* (cbrt (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))))) (/ (/ (- (/ 1 PI) (* (/ v PI) (* 5 v))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 356 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * * [misc]simplify: iters left: 1 (351 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 t) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ 1 t) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 PI) (* (/ v PI) (* 5 v))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ 1 t) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (/ (- (/ 1 PI) (* (/ v PI) (* 5 v))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 357 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (203 enodes) * * [misc]simplify: iters left: 1 (278 enodes) * [exit]simplify: Simplified to (/ (/ 1 t) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ 1 t) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 PI) (/ (* 5 v) (/ PI v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ 1 t) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (/ (- (/ 1 PI) (/ (* 5 v) (/ PI v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 358 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (308 enodes) * * [misc]simplify: iters left: 1 (439 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- 1 (* v (* 5 v)))) (/ t (sqrt 1))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- 1 (* v (* 5 v)))) (/ t (sqrt 1))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (/ (- 1 (* v v)) (sqrt (/ 1 PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (/ (- 1 (* v v)) (sqrt (/ 1 PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 359 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (308 enodes) * * [misc]simplify: iters left: 1 (439 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (sqrt 1) t) (cbrt (sqrt 2))) (sqrt (- 1 (* v (* 5 v))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (/ (/ (sqrt 1) t) (cbrt (sqrt 2))) (sqrt (- 1 (* v (* 5 v))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt 2))))) (* (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))))) * * * * [misc]progress: [ 360 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (308 enodes) * * [misc]simplify: iters left: 1 (439 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- 1 (* v (* 5 v)))) (/ t (sqrt 1))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- 1 (* v (* 5 v)))) (/ t (sqrt 1))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (/ (- 1 (* v v)) (sqrt (/ 1 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (/ (- 1 (* v v)) (sqrt (/ 1 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* v 2))))))))) * * * * [misc]progress: [ 361 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (310 enodes) * * [misc]simplify: iters left: 1 (445 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 (* 5 (* v v)))) (/ (* (cbrt 1) t) (sqrt 1))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- 1 (* 5 (* v v)))) (/ (* (cbrt 1) t) (sqrt 1))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt 1)))) (* (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 362 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (216 enodes) * * [misc]simplify: iters left: 2 (443 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* 3 2) (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))))) (/ (sqrt (- 1 (* v (* 5 v)))) (cbrt (cbrt (sqrt (- 2 (* (* 3 2) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* 3 2) (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))))) (/ (sqrt (- 1 (* v (* 5 v)))) (cbrt (cbrt (sqrt (- 2 (* (* 3 2) (* v v)))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (/ (- 1 (* v v)) (sqrt (/ 1 PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (/ (- 1 (* v v)) (sqrt (/ 1 PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 363 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (310 enodes) * * [misc]simplify: iters left: 1 (445 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt 1) t) (sqrt (- 1 (* 5 (* v v))))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (sqrt (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (/ (sqrt 1) t) (sqrt (- 1 (* 5 (* v v))))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (sqrt (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (/ (- 1 (* v v)) (sqrt (/ 1 PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (sqrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (/ (- 1 (* v v)) (sqrt (/ 1 PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (sqrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 364 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) 1))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * * [misc]simplify: iters left: 2 (293 enodes) * * [misc]simplify: iters left: 1 (462 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 (* v (* 5 v)))) (/ t (sqrt 1))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- 1 (* v (* 5 v)))) (/ t (sqrt 1))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- 1 (* v (* 5 v)))) (/ t (sqrt 1))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (* (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 365 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) t) (/ (sqrt 1) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) t) (/ (sqrt 1) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))))) * * * * [misc]progress: [ 366 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt 2))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (/ (sqrt 1) t))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt 2))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (/ (sqrt 1) t))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt 2))))) (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))))) * * * * [misc]progress: [ 367 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (/ (sqrt 1) t))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (/ (sqrt 1) t))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))))) * * * * [misc]progress: [ 368 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (* t (cbrt 1))) (/ (sqrt 1) (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (* t (cbrt 1))) (/ (sqrt 1) (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt 1)))) (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))))) * * * * [misc]progress: [ 369 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (245 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))))) * * * * [misc]progress: [ 370 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 1) (sqrt (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))))) (/ (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))) (/ (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) t))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt 1) (sqrt (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))))) (/ (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))) (/ (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) t))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (sqrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (sqrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))))) * * * * [misc]progress: [ 371 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) 1))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * * [misc]simplify: iters left: 2 (363 enodes) * [exit]simplify: Simplified to (* (/ (sqrt 1) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (/ (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (sqrt 1) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (/ (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) t)) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) 1))) (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))))) * * * * [misc]progress: [ 372 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (311 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 PI) (* (/ v PI) (* 5 v))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) (/ (/ (- (/ 1 PI) (* (/ v PI) (* 5 v))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 373 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (311 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt 1) t) (cbrt (sqrt 2))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt 1) t) (cbrt (sqrt 2))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (240 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 PI) (* (* v v) (/ 5 PI))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (sqrt 1) t) (cbrt (sqrt 2))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (/ (- (/ 1 PI) (* (* v v) (/ 5 PI))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 374 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (311 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (240 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 PI) (* (* v v) (/ 5 PI))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (/ (- (/ 1 PI) (* (* v v) (/ 5 PI))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 375 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 (cbrt 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (315 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 1) (* (cbrt 1) t)) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt 1) (* (cbrt 1) t)) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 PI) (/ (* 5 v) (/ PI v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt 1) (* (cbrt 1) t)) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (/ (- (/ 1 PI) (/ (* 5 v) (/ PI v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 376 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (436 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 PI) (* (/ v PI) (* 5 v))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (/ (- (/ 1 PI) (* (/ v PI) (* 5 v))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 377 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (315 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 PI) (* (/ v PI) (* 5 v))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (/ (- (/ 1 PI) (* (/ v PI) (* 5 v))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 378 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (258 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 PI) (/ (* 5 v) (/ PI v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (/ (/ (- (/ 1 PI) (/ (* 5 v) (/ PI v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 379 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 PI) (/ (* 5 v) (/ PI v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (/ (/ (- (/ 1 PI) (/ (* 5 v) (/ PI v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 380 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (sqrt (/ (- 1 (* (* v v) 5)) PI)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (272 enodes) * * [misc]simplify: iters left: 1 (379 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (/ (sqrt 1) t)) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (/ (sqrt 1) t)) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (285 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (* (- 1 (* v v)) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (* (- 1 (* v v)) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 381 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3)))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (154 enodes) * * [misc]simplify: iters left: 3 (440 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt 1) t) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (cbrt (sqrt (- 2 (* (* (* v v) (* 2 v)) (pow (* v 3) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (/ (sqrt 1) t) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (cbrt (sqrt (- 2 (* (* (* v v) (* 2 v)) (pow (* v 3) 3)))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * * [misc]simplify: iters left: 3 (376 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3)))))))) (* (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))))))) * * * * [misc]progress: [ 382 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (318 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt 1) t) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (cbrt (sqrt (- 2 (* (* (* v 3) (* v v)) (* 2 (* v 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (/ (sqrt 1) t) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (cbrt (sqrt (- 2 (* (* (* v 3) (* v v)) (* 2 (* v 3))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* v 3) v)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* v 3) v)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * * [misc]simplify: iters left: 2 (325 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (* (* 3 v) v) 1))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v))))))))) (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (* (* 3 v) v) 1))))))) * * * * [misc]progress: [ 383 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (193 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt 1) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (284 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 PI) (* (/ v PI) (* 5 v))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) (- t (* (* v v) t)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt 1) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (/ (- (/ 1 PI) (* (/ v PI) (* 5 v))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) (- t (* (* v v) t)))))) * * * * [misc]progress: [ 384 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (* t (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (234 enodes) * * [misc]simplify: iters left: 1 (420 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt 1) t) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 2) (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt 1) t) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 2) (* v v)))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ 1 (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ 1 (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (198 enodes) * * [misc]simplify: iters left: 2 (407 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 PI) (* (* 5 v) (/ v PI))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (* t (- 1 (* v v)))) (/ (/ (- (/ 1 PI) (* (* 5 v) (/ v PI))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * * * * [misc]progress: [ 385 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (* t (- 1 (* v v))) (sqrt (/ (- 1 (* (* v v) 5)) PI)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (237 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (/ (/ (sqrt 1) t) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (/ (/ (sqrt 1) t) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (236 enodes) * * [misc]simplify: iters left: 1 (328 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt 1) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (* t (- 1 (* v v))) (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 386 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (* (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (213 enodes) * * [misc]simplify: iters left: 2 (405 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 (* (* 5 v) v))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (* (cbrt (* (/ (- t (* v (* t v))) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (cbrt (* (/ (- t (* v (* t v))) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- 1 (* (* 5 v) v))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (* (cbrt (* (/ (- t (* v (* t v))) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (cbrt (* (/ (- t (* v (* t v))) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * * [misc]simplify: iters left: 2 (390 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (* (/ (- t (* (* v v) t)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (* (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (* (/ (- t (* (* v v) t)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))))) * * * * [misc]progress: [ 387 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * * [misc]simplify: iters left: 2 (390 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (sqrt (/ (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (- t (* (* v v) t)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (sqrt (/ (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (- t (* (* v v) t)))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * * [misc]simplify: iters left: 2 (390 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (sqrt (* (/ (- t (* (* v v) t)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (sqrt (* (/ (- t (* (* v v) t)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))))) * * * * [misc]progress: [ 388 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (185 enodes) * * [misc]simplify: iters left: 2 (349 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (- 1 (* (* v v) 5))) (cbrt (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))) (/ (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) t) (cbrt (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (sqrt (- 1 (* (* v v) 5))) (cbrt (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))) (/ (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) t) (cbrt (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (322 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (cbrt (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))))) * * * * [misc]progress: [ 389 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * * [misc]simplify: iters left: 2 (275 enodes) * * [misc]simplify: iters left: 1 (381 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (/ (/ (sqrt (- 1 (* (* 5 v) v))) t) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (sqrt (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (/ (/ (sqrt (- 1 (* (* 5 v) v))) t) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (322 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (sqrt (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))))) * * * * [misc]progress: [ 390 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (253 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (/ (/ (sqrt (- 1 (* (* 5 v) v))) t) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (* (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (/ (/ (sqrt (- 1 (* (* 5 v) v))) t) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (/ (- 1 (* v v)) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (/ (- 1 (* v v)) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))))) * * * * [misc]progress: [ 391 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (253 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (- 1 (* (* 5 v) v))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (* (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) (* t (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (/ (sqrt (- 1 (* (* 5 v) v))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (* (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) (* t (cbrt (sqrt 2)))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (/ 1 PI)) (- 1 (* v v))) (cbrt (sqrt (- 1 (* (* v v) 3))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt 2))))) (/ (/ (/ (sqrt (/ 1 PI)) (- 1 (* v v))) (cbrt (sqrt (- 1 (* (* v v) 3))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))))))) * * * * [misc]progress: [ 392 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (253 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (- 1 (* (* 5 v) v))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (* (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) (* t (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (/ (sqrt (- 1 (* (* 5 v) v))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (* (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) (* t (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt (/ 1 PI)) (- 1 (* v v))) (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (* (/ (sqrt (/ 1 PI)) (- 1 (* v v))) (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) * * * * [misc]progress: [ 393 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (252 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt 1)) (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (/ t (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (/ (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt 1)) (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (/ t (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (/ 1 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt 1)))) (* (/ (/ (sqrt (/ 1 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 394 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (129 enodes) * * [misc]simplify: iters left: 3 (341 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (/ (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (/ (/ (sqrt (- 1 (* (* v v) 5))) t) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (/ (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (/ (/ (sqrt (- 1 (* (* v v) 5))) t) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (/ (- 1 (* v v)) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (/ (- 1 (* v v)) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))))) * * * * [misc]progress: [ 395 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (252 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 (* (* v v) 5))) (sqrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (/ (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) t) (* (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- 1 (* (* v v) 5))) (sqrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (/ (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) t) (* (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (/ (- 1 (* v v)) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (/ (- 1 (* v v)) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))))) * * * * [misc]progress: [ 396 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) 1))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (212 enodes) * * [misc]simplify: iters left: 2 (477 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) (/ (sqrt (- 1 (* (* v v) 5))) t))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) (/ (sqrt (- 1 (* (* v v) 5))) t))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (/ 1 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) 1))) (* (/ (/ (sqrt (/ 1 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 397 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (209 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (- 1 (* (* v v) 5))) (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) t)) (cbrt (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (sqrt (- 1 (* (* v v) 5))) (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) t)) (cbrt (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (sqrt (- 1 (* (* v v) 5))) (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) t)) (cbrt (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))))) * * * * [misc]progress: [ 398 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (209 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- 1 (* (* v v) 5))) t) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (/ (cbrt (sqrt 2)) (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- 1 (* (* v v) 5))) t) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (/ (cbrt (sqrt 2)) (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (/ 1 PI)) (- 1 (* v v))) (cbrt (sqrt (- 1 (* (* v v) 3))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (sqrt (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (sqrt (- 1 (* (* v v) 5))) t) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (/ (cbrt (sqrt 2)) (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))))) (/ (/ (/ (sqrt (/ 1 PI)) (- 1 (* v v))) (cbrt (sqrt (- 1 (* (* v v) 3))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (sqrt (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))))))) * * * * [misc]progress: [ 399 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (209 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- 1 (* (* v v) 5))) t) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (/ (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- 1 (* (* v v) 5))) t) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (/ (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt (/ 1 PI)) (- 1 (* v v))) (sqrt (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (sqrt (- 1 (* (* v v) 5))) t) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (/ (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))))) (/ (/ (* (/ (sqrt (/ 1 PI)) (- 1 (* v v))) (sqrt (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) * * * * [misc]progress: [ 400 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (208 enodes) * * [misc]simplify: iters left: 2 (383 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- 1 (* (* 5 v) v))) t) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (/ (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt 1))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (sqrt (- 1 (* (* 5 v) v))) t) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (/ (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt 1))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (/ 1 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (sqrt (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (* (/ (/ (sqrt (- 1 (* (* 5 v) v))) t) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (/ (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt 1))) (* (/ (/ (sqrt (/ 1 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (sqrt (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 401 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (247 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (/ (sqrt (- 1 (* (* v v) 5))) t) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (/ (sqrt (- 1 (* (* v v) 5))) t) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (/ (sqrt (- 1 (* (* v v) 5))) t) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))))) * * * * [misc]progress: [ 402 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (208 enodes) * * [misc]simplify: iters left: 2 (383 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- 1 (* (* 5 v) v))) t) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (/ (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (sqrt (- 1 (* (* 5 v) v))) t) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (/ (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (* (/ (/ (sqrt (- 1 (* (* 5 v) v))) t) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (/ (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))))) * * * * [misc]progress: [ 403 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) 1))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (362 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (/ (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (/ (sqrt (- 1 (* (* v v) 5))) t))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (/ (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (/ (sqrt (- 1 (* (* v v) 5))) t))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (/ 1 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (sqrt (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (/ (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (/ (sqrt (- 1 (* (* v v) 5))) t))) (* (/ (/ (sqrt (/ 1 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (sqrt (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 404 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (- 1 (* (* v v) 5))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) t)) (cbrt (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (sqrt (- 1 (* (* v v) 5))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) t)) (cbrt (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))))) * * * * [misc]progress: [ 405 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt 2))) (* (/ t (sqrt (- 1 (* (* v v) 5)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt 2))) (* (/ t (sqrt (- 1 (* (* v v) 5)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (/ 1 PI)) (- 1 (* v v))) (cbrt (sqrt (- 1 (* (* v v) 3))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt 2))))) (/ (/ (/ (sqrt (/ 1 PI)) (- 1 (* v v))) (cbrt (sqrt (- 1 (* (* v v) 3))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))))))) * * * * [misc]progress: [ 406 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (/ t (sqrt (- 1 (* (* v v) 5)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (/ t (sqrt (- 1 (* (* v v) 5)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt (/ 1 PI)) (- 1 (* v v))) (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (* (/ (sqrt (/ 1 PI)) (- 1 (* v v))) (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) * * * * [misc]progress: [ 407 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (/ (* t (cbrt 1)) (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (/ (* t (cbrt 1)) (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (/ 1 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt 1)))) (* (/ (/ (sqrt (/ 1 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 408 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (245 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (/ (/ (sqrt (- 1 (* (* v v) 5))) t) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (/ (/ (sqrt (- 1 (* (* v v) 5))) t) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))))) * * * * [misc]progress: [ 409 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (* (/ t (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (* (/ t (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))))) * * * * [misc]progress: [ 410 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) 1))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * * [misc]simplify: iters left: 2 (363 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (- 1 (* (* 5 v) v))) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (sqrt (- 1 (* (* 5 v) v))) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) t)) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (/ 1 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) 1))) (* (/ (/ (sqrt (/ 1 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 411 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (308 enodes) * * [misc]simplify: iters left: 1 (441 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (- 1 (* (* v v) 5))) (/ (sqrt 1) t)) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (sqrt (- 1 (* (* v v) 5))) (/ (sqrt 1) t)) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt (/ 1 PI)) (- 1 (* v v))) (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (* (/ (sqrt (/ 1 PI)) (- 1 (* v v))) (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))))) * * * * [misc]progress: [ 412 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (308 enodes) * * [misc]simplify: iters left: 1 (441 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (- 1 (* (* v v) 5))) (/ (/ (sqrt 1) t) (cbrt (sqrt 2)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (sqrt (- 1 (* (* v v) 5))) (/ (/ (sqrt 1) t) (cbrt (sqrt 2)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 1 (* (* v v) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (cbrt (sqrt 2))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 413 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (308 enodes) * * [misc]simplify: iters left: 1 (441 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (- 1 (* (* v v) 5))) (/ (sqrt 1) t)) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (sqrt (- 1 (* (* v v) 5))) (/ (sqrt 1) t)) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (/ (sqrt (/ 1 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (* (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (/ (sqrt (/ 1 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))))) * * * * [misc]progress: [ 414 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (cbrt 1)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (310 enodes) * * [misc]simplify: iters left: 1 (441 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 (* (* v v) 5))) (* (/ t (sqrt 1)) (cbrt 1))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- 1 (* (* v v) 5))) (* (/ t (sqrt 1)) (cbrt 1))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (/ 1 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (cbrt 1)))) (* (/ (/ (sqrt (/ 1 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))))))) * * * * [misc]progress: [ 415 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (216 enodes) * * [misc]simplify: iters left: 2 (442 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ (sqrt (- 1 (* (* v v) 5))) t) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (/ (sqrt 1) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (/ (sqrt (- 1 (* (* v v) 5))) t) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (/ (sqrt 1) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt (/ 1 PI)) (- 1 (* v v))) (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (* (/ (sqrt (/ 1 PI)) (- 1 (* v v))) (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))))) * * * * [misc]progress: [ 416 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (310 enodes) * * [misc]simplify: iters left: 1 (441 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (- 1 (* (* v v) 5))) (/ (sqrt 1) t)) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (sqrt (- 1 (* (* v v) 5))) (/ (sqrt 1) t)) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt (/ 1 PI)) (- 1 (* v v))) (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (* (/ (sqrt (/ 1 PI)) (- 1 (* v v))) (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))))) * * * * [misc]progress: [ 417 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) 1))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * * [misc]simplify: iters left: 2 (294 enodes) * * [misc]simplify: iters left: 1 (472 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 (* (* v v) 5))) (/ t (sqrt 1))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- 1 (* (* v v) 5))) (/ t (sqrt 1))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (/ 1 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- 1 (* (* v v) 5))) (/ t (sqrt 1))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (* (/ (/ (sqrt (/ 1 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))))))) * * * * [misc]progress: [ 418 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * * [misc]simplify: iters left: 2 (293 enodes) * * [misc]simplify: iters left: 1 (389 enodes) * [exit]simplify: Simplified to (/ (/ (/ (- 1 (* (* v v) 5)) t) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (- 1 (* (* v v) 5)) t) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * * [misc]simplify: iters left: 2 (474 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ 1 PI) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (- 1 (* (* v v) 5)) t) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ (/ (/ (/ 1 PI) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))))))) * * * * [misc]progress: [ 419 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * * [misc]simplify: iters left: 2 (293 enodes) * * [misc]simplify: iters left: 1 (389 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 (* (* v v) 5)) (* t (cbrt (sqrt 2)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (- 1 (* (* v v) 5)) (* t (cbrt (sqrt 2)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (188 enodes) * * [misc]simplify: iters left: 2 (472 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (- 1 (* v v))) (* (cbrt (sqrt (- 1 (* (* v v) 3)))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (- 1 (* (* v v) 5)) (* t (cbrt (sqrt 2)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (/ (/ (/ 1 PI) (- 1 (* v v))) (* (cbrt (sqrt (- 1 (* (* v v) 3)))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))))))) * * * * [misc]progress: [ 420 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * * [misc]simplify: iters left: 2 (293 enodes) * * [misc]simplify: iters left: 1 (389 enodes) * [exit]simplify: Simplified to (/ (/ (/ (- 1 (* (* v v) 5)) t) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 2 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (- 1 (* (* v v) 5)) t) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (188 enodes) * * [misc]simplify: iters left: 2 (472 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ 1 PI) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (cbrt (sqrt (sqrt (- 2 (* (* v 3) (* 2 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (- 1 (* (* v v) 5)) t) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (/ (/ (/ 1 PI) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (cbrt (sqrt (sqrt (- 2 (* (* v 3) (* 2 v))))))))) * * * * [misc]progress: [ 421 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (292 enodes) * * [misc]simplify: iters left: 1 (386 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 (* (* v v) 5)) (* t (cbrt 1))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (- 1 (* (* v v) 5)) (* t (cbrt 1))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * * [misc]simplify: iters left: 2 (462 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (- 1 (* v v))) (* (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))) (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (- 1 (* (* v v) 5)) (* t (cbrt 1))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (/ (/ (/ 1 PI) (- 1 (* v v))) (* (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))) (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))))))) * * * * [misc]progress: [ 422 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (214 enodes) * * [misc]simplify: iters left: 2 (424 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 (* (* v v) 5)) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) t) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (- 1 (* (* v v) 5)) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) t) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * * [misc]simplify: iters left: 2 (474 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ 1 PI) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (- 1 (* (* v v) 5)) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) t) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))) (/ (/ (/ (/ 1 PI) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))))))) * * * * [misc]progress: [ 423 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (292 enodes) * * [misc]simplify: iters left: 1 (386 enodes) * [exit]simplify: Simplified to (/ (/ (/ (- 1 (* (* v v) 5)) t) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (- 1 (* (* v v) 5)) t) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * * [misc]simplify: iters left: 2 (474 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ 1 PI) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (sqrt (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (- 1 (* (* v v) 5)) t) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (/ (/ (/ 1 PI) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (sqrt (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))))))) * * * * [misc]progress: [ 424 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (236 enodes) * * [misc]simplify: iters left: 1 (326 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 t) (/ (* 5 v) (/ t v))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (- (/ 1 t) (/ (* 5 v) (/ t v))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * * [misc]simplify: iters left: 2 (462 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (- 1 (* v v))) (* (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))) (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (- (/ 1 t) (/ (* 5 v) (/ t v))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (/ (/ (/ 1 PI) (- 1 (* v v))) (* (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))) (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))))))) * * * * [misc]progress: [ 425 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (- 1 (* (* v v) 5))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) t)) (cbrt (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (sqrt (- 1 (* (* v v) 5))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) t)) (cbrt (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))))) * * * * [misc]progress: [ 426 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt 2))) (* (/ t (sqrt (- 1 (* (* v v) 5)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt 2))) (* (/ t (sqrt (- 1 (* (* v v) 5)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (/ 1 PI)) (- 1 (* v v))) (cbrt (sqrt (- 1 (* (* v v) 3))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt 2))))) (/ (/ (/ (sqrt (/ 1 PI)) (- 1 (* v v))) (cbrt (sqrt (- 1 (* (* v v) 3))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))))))) * * * * [misc]progress: [ 427 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (/ t (sqrt (- 1 (* (* v v) 5)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (/ t (sqrt (- 1 (* (* v v) 5)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt (/ 1 PI)) (- 1 (* v v))) (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (* (/ (sqrt (/ 1 PI)) (- 1 (* v v))) (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) * * * * [misc]progress: [ 428 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (/ (* t (cbrt 1)) (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (/ (* t (cbrt 1)) (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (/ 1 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt 1)))) (* (/ (/ (sqrt (/ 1 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 429 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (245 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (/ (/ (sqrt (- 1 (* (* v v) 5))) t) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (/ (/ (sqrt (- 1 (* (* v v) 5))) t) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))))) * * * * [misc]progress: [ 430 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (* (/ t (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (* (/ t (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))))) * * * * [misc]progress: [ 431 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) 1))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * * [misc]simplify: iters left: 2 (363 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (- 1 (* (* 5 v) v))) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (sqrt (- 1 (* (* 5 v) v))) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) t)) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (/ 1 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) 1))) (* (/ (/ (sqrt (/ 1 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 432 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (337 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- 1 (* (* v v) 5))) t) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- 1 (* (* v v) 5))) t) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt (/ 1 PI)) (- 1 (* v v))) (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (sqrt (- 1 (* (* v v) 5))) t) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (/ (* (/ (sqrt (/ 1 PI)) (- 1 (* v v))) (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))))) * * * * [misc]progress: [ 433 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (337 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 (* (* v v) 5))) (* (cbrt (sqrt 2)) t)) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- 1 (* (* v v) 5))) (* (cbrt (sqrt 2)) t)) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 1 (* (* v v) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- 1 (* (* v v) 5))) (* (cbrt (sqrt 2)) t)) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 434 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (337 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- 1 (* (* v v) 5))) t) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- 1 (* (* v v) 5))) t) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (/ (sqrt (/ 1 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (sqrt (- 1 (* (* v v) 5))) t) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (/ (* (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (/ (sqrt (/ 1 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))))) * * * * [misc]progress: [ 435 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 (cbrt 1)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (352 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 (* (* v v) 5))) (* t (cbrt 1))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- 1 (* (* v v) 5))) (* t (cbrt 1))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (/ 1 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- 1 (* (* v v) 5))) (* t (cbrt 1))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (* (/ (/ (sqrt (/ 1 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))))))) * * * * [misc]progress: [ 436 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (464 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- 1 (* (* v v) 5))) t) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- 1 (* (* v v) 5))) t) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt (/ 1 PI)) (- 1 (* v v))) (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (sqrt (- 1 (* (* v v) 5))) t) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))) (/ (/ (* (/ (sqrt (/ 1 PI)) (- 1 (* v v))) (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))))) * * * * [misc]progress: [ 437 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (352 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- 1 (* (* v v) 5))) t) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (sqrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- 1 (* (* v v) 5))) t) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (sqrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt (/ 1 PI)) (- 1 (* v v))) (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (sqrt (- 1 (* (* v v) 5))) t) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (sqrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (/ (* (/ (sqrt (/ 1 PI)) (- 1 (* v v))) (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))))) * * * * [misc]progress: [ 438 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (195 enodes) * * [misc]simplify: iters left: 1 (282 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 (* v (* 5 v)))) t) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- 1 (* v (* 5 v)))) t) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (/ 1 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- 1 (* v (* 5 v)))) t) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (* (/ (/ (sqrt (/ 1 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))))))) * * * * [misc]progress: [ 439 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t 1)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (212 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 (* (* v v) 5))) t) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- 1 (* (* v v) 5))) t) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (/ 1 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- 1 (* (* v v) 5))) t) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (* (/ (/ (sqrt (/ 1 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v)))))) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))))))) * * * * [misc]progress: [ 440 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (sqrt (/ (- 1 (* (* v v) 5)) PI)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (272 enodes) * * [misc]simplify: iters left: 1 (378 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- 1 (* v (* 5 v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (sqrt (- 1 (* v (* 5 v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) t)) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (476 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 PI)) (- 1 (* v v))) (* (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))) (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (/ (/ (sqrt (/ 1 PI)) (- 1 (* v v))) (* (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))) (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))))))) * * * * [misc]progress: [ 441 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3)))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (154 enodes) * * [misc]simplify: iters left: 3 (439 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- 1 (* (* v v) 5))) t) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (sqrt (- 1 (* (* v v) 5))) t) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (153 enodes) * * [misc]simplify: iters left: 3 (327 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (/ (/ (sqrt (/ 1 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3)))))))) (* (cbrt (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (/ (/ (sqrt (/ 1 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))))))) * * * * [misc]progress: [ 442 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (318 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (- 1 (* (* v v) 5))) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* (* 2 3) (* v v)) (* (* v v) 3)))))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (sqrt (- 1 (* (* v v) 5))) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* (* 2 3) (* v v)) (* (* v v) 3)))))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) t)) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* v 3) v)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* v 3) v)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * * [misc]simplify: iters left: 1 (415 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ 1 PI)) (- 1 (* v v))) (/ (cbrt (sqrt (+ 1 (* (* v v) 3)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v))))))))) (* (/ (sqrt (/ 1 PI)) (- 1 (* v v))) (/ (cbrt (sqrt (+ 1 (* (* v v) 3)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))))) * * * * [misc]progress: [ 443 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (217 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (296 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (/ 1 PI)) (- t (* (* v v) t))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (* (/ (/ (sqrt (/ 1 PI)) (- t (* (* v v) t))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))))))) * * * * [misc]progress: [ 444 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (* t (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (246 enodes) * * [misc]simplify: iters left: 1 (433 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 (* v (* 5 v)))) (- t (* (* v v) t))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- 1 (* v (* 5 v)))) (- t (* (* v v) t))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ 1 (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ 1 (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (209 enodes) * * [misc]simplify: iters left: 2 (410 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (/ 1 PI)) (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (* (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))) (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (* t (- 1 (* v v)))) (/ (* (sqrt (/ 1 PI)) (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (* (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))) (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))))))) * * * * [misc]progress: [ 445 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (* t (- 1 (* v v))) (sqrt (/ (- 1 (* (* v v) 5)) PI)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (237 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- 1 (* (* 5 v) v))) (- t (* (* v v) t))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (sqrt (- 1 (* (* 5 v) v))) (- t (* (* v v) t))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (175 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 PI)) (* (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))) (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (* t (- 1 (* v v))) (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (/ (sqrt (/ 1 PI)) (* (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))) (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))))))) * * * * [misc]progress: [ 446 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (* (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (403 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (* (cbrt (/ (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (- t (* v (* t v)))))) (cbrt (/ (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (- t (* v (* t v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (* (cbrt (/ (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (- t (* v (* t v)))))) (cbrt (/ (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (- t (* v (* t v)))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * * [misc]simplify: iters left: 2 (389 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (* (/ (- t (* (* t v) v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (* (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (* (/ (- t (* (* t v) v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))))) * * * * [misc]progress: [ 447 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * * [misc]simplify: iters left: 2 (389 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (sqrt (* (/ (- t (* (* t v) v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (sqrt (* (/ (- t (* (* t v) v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * * [misc]simplify: iters left: 2 (389 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (sqrt (* (/ (- t (* (* t v) v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (sqrt (* (/ (- t (* (* t v) v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))))) * * * * [misc]progress: [ 448 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (340 enodes) * * [misc]simplify: iters left: 1 (494 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))))) (/ (/ (* (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))) t) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (cbrt (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))))) (/ (/ (* (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))) t) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (325 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (cbrt (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))))))) * * * * [misc]progress: [ 449 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (272 enodes) * * [misc]simplify: iters left: 1 (377 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) t))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (sqrt (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) t))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (325 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (sqrt (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))))))) * * * * [misc]progress: [ 450 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (251 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) t) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (* (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) t) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (* (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))))) * * * * [misc]progress: [ 451 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (251 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (* t (cbrt (sqrt 2)))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (* (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (* t (cbrt (sqrt 2)))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (* (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt 2))))) (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))))) * * * * [misc]progress: [ 452 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (251 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) t) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (* (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) t) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (* (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (- 1 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (- 1 (* v v))))))) * * * * [misc]progress: [ 453 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (250 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (/ (cbrt 1) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) t))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (/ (cbrt 1) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) t))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (- 1 (* v v))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt 1)))) (/ (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (- 1 (* v v))))) * * * * [misc]progress: [ 454 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (337 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))))) (/ (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) t) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))))) (/ (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) t) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))))) * * * * [misc]progress: [ 455 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (250 enodes) * [exit]simplify: Simplified to (* (/ (* (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) t))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (* (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) t))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))))) * * * * [misc]progress: [ 456 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) 1))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (210 enodes) * * [misc]simplify: iters left: 2 (470 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) t) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (* (/ (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) t) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (- 1 (* v v))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) 1))) (/ (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (- 1 (* v v))))) * * * * [misc]progress: [ 457 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (208 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (/ (/ (* (fabs (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) t)) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (fabs (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) t)) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (- 1 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (fabs (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) t)) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (- 1 (* v v))))))) * * * * [misc]progress: [ 458 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (208 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (/ (* (fabs (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (* (* (cbrt (sqrt 2)) t) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (fabs (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (* (* (cbrt (sqrt 2)) t) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (244 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (sqrt (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (* (- 1 (* v v)) (cbrt (sqrt (- 1 (* 3 (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (fabs (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (* (* (cbrt (sqrt 2)) t) (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (* (/ (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (sqrt (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (* (- 1 (* v v)) (cbrt (sqrt (- 1 (* 3 (* v v))))))))) * * * * [misc]progress: [ 459 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (208 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (/ (* (fabs (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (* (* (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) t) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (fabs (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (* (* (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) t) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (244 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (sqrt (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (* (- 1 (* v v)) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (fabs (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (* (* (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) t) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ (* (/ (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (sqrt (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (* (- 1 (* v v)) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))))))) * * * * [misc]progress: [ 460 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * * [misc]simplify: iters left: 2 (378 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (* t (cbrt 1)))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (* t (cbrt 1)))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (* t (cbrt 1)))) (/ (* (/ (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * * * * [misc]progress: [ 461 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (246 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) t) (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (* (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) t) (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (* (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (- 1 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) t) (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (* (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))))) (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (- 1 (* v v))))))) * * * * [misc]progress: [ 462 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * * [misc]simplify: iters left: 2 (378 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (/ (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) t) (sqrt (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (/ (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) t) (sqrt (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (- 1 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (/ (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) t) (sqrt (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))))) (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (- 1 (* v v))))))) * * * * [misc]progress: [ 463 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) 1))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (355 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) (* t (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) (* t (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) (* t (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (* (/ (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * * * * [misc]progress: [ 464 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (362 enodes) * * [misc]simplify: iters left: 1 (492 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (240 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))))) (/ (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))))) * * * * [misc]progress: [ 465 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (362 enodes) * * [misc]simplify: iters left: 1 (492 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (* (cbrt (sqrt 2)) t)) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (* (cbrt (sqrt 2)) t)) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (* (cbrt (sqrt 2)) t)) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 466 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (362 enodes) * * [misc]simplify: iters left: 1 (492 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (cbrt (sqrt (sqrt (- 2 (* (* 2 v) (* 3 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (cbrt (sqrt (sqrt (- 2 (* (* 2 v) (* 3 v))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (cbrt (sqrt (sqrt (- 2 (* (* 2 v) (* 3 v))))))) (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))))) * * * * [misc]progress: [ 467 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * * [misc]simplify: iters left: 2 (359 enodes) * * [misc]simplify: iters left: 1 (488 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (* t (cbrt 1))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (* t (cbrt 1))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (* t (cbrt 1))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 468 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * * [misc]simplify: iters left: 2 (498 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* t (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* t (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (240 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* t (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))))) * * * * [misc]progress: [ 469 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * * [misc]simplify: iters left: 2 (359 enodes) * * [misc]simplify: iters left: 1 (488 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) t) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) t) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (240 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) t) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))))) * * * * [misc]progress: [ 470 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) 1))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * * [misc]simplify: iters left: 2 (306 enodes) * * [misc]simplify: iters left: 1 (425 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 471 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) t) (/ (sqrt 1) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) t) (/ (sqrt 1) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (- 1 (* v v))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (- 1 (* v v))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))))) * * * * [misc]progress: [ 472 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) t) (/ (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (/ (sqrt 1) (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) t) (/ (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (/ (sqrt 1) (cbrt (sqrt 2))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (cbrt (sqrt (- 1 (* 3 (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (cbrt (sqrt 2))))) (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (cbrt (sqrt (- 1 (* 3 (* v v))))))))) * * * * [misc]progress: [ 473 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) t) (* (/ (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (sqrt 1)) (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) t) (* (/ (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (sqrt 1)) (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))))) * * * * [misc]progress: [ 474 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (cbrt 1)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (204 enodes) * * [misc]simplify: iters left: 2 (377 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) t) (/ (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))) (/ (sqrt 1) (cbrt 1)))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) t) (/ (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))) (/ (sqrt 1) (cbrt 1)))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (cbrt 1)))) (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 475 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) t) (/ (sqrt 1) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (* (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (/ (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) t) (/ (sqrt 1) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (* (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (- 1 (* v v))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (- 1 (* v v))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))))) * * * * [misc]progress: [ 476 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (204 enodes) * * [misc]simplify: iters left: 2 (377 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) t) (* (/ (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))) (sqrt 1)) (sqrt (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) t) (* (/ (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))) (sqrt 1)) (sqrt (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (- 1 (* v v))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (- 1 (* v v))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))))) * * * * [misc]progress: [ 477 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) 1))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (355 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) t) (/ (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))) (sqrt 1))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) t) (/ (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))) (sqrt 1))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) 1))) (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 478 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) t) (/ (sqrt (- 1 (* (* 5 v) v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) t) (/ (sqrt (- 1 (* (* 5 v) v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (* (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))))) * * * * [misc]progress: [ 479 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) t) (/ (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (/ (sqrt (- 1 (* (* 5 v) v))) (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) t) (/ (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (/ (sqrt (- 1 (* (* 5 v) v))) (cbrt (sqrt 2))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (/ (- 1 (* v v)) (sqrt (/ 1 PI)))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (cbrt (sqrt (- 1 (* 3 (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt 2))))) (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (/ (- 1 (* v v)) (sqrt (/ 1 PI)))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (cbrt (sqrt (- 1 (* 3 (* v v))))))))) * * * * [misc]progress: [ 480 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) t) (* (/ (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (sqrt (- 1 (* (* 5 v) v)))) (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) t) (* (/ (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (sqrt (- 1 (* (* 5 v) v)))) (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (/ (- 1 (* v v)) (sqrt (/ 1 PI)))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (/ (- 1 (* v v)) (sqrt (/ 1 PI)))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))))) * * * * [misc]progress: [ 481 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (204 enodes) * * [misc]simplify: iters left: 2 (377 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) t) (/ (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))) (/ (sqrt (- 1 (* (* v v) 5))) (cbrt 1)))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) t) (/ (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))) (/ (sqrt (- 1 (* (* v v) 5))) (cbrt 1)))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (/ (- 1 (* v v)) (sqrt (/ 1 PI))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt 1)))) (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (/ (- 1 (* v v)) (sqrt (/ 1 PI))))))) * * * * [misc]progress: [ 482 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) t) (/ (sqrt (- 1 (* (* 5 v) v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (* (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (/ (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) t) (/ (sqrt (- 1 (* (* 5 v) v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (* (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (* (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))))) * * * * [misc]progress: [ 483 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (204 enodes) * * [misc]simplify: iters left: 2 (377 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) t) (* (/ (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))) (sqrt (- 1 (* (* v v) 5)))) (sqrt (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) t) (* (/ (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))) (sqrt (- 1 (* (* v v) 5)))) (sqrt (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ 1 PI)) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (* (/ (sqrt (/ 1 PI)) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))))) * * * * [misc]progress: [ 484 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) 1))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (355 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) t) (/ (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))) (sqrt (- 1 (* (* v v) 5))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) t) (/ (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))) (sqrt (- 1 (* (* v v) 5))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (/ (- 1 (* v v)) (sqrt (/ 1 PI))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) 1))) (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (/ (- 1 (* v v)) (sqrt (/ 1 PI))))))) * * * * [misc]progress: [ 485 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (362 enodes) * * [misc]simplify: iters left: 1 (492 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (240 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))))) (/ (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))))) * * * * [misc]progress: [ 486 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (362 enodes) * * [misc]simplify: iters left: 1 (492 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (* (cbrt (sqrt 2)) t)) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (* (cbrt (sqrt 2)) t)) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (* (cbrt (sqrt 2)) t)) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 487 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (362 enodes) * * [misc]simplify: iters left: 1 (492 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (cbrt (sqrt (sqrt (- 2 (* (* 2 v) (* 3 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (cbrt (sqrt (sqrt (- 2 (* (* 2 v) (* 3 v))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (cbrt (sqrt (sqrt (- 2 (* (* 2 v) (* 3 v))))))) (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))))) * * * * [misc]progress: [ 488 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * * [misc]simplify: iters left: 2 (359 enodes) * * [misc]simplify: iters left: 1 (488 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (* t (cbrt 1))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (* t (cbrt 1))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (* t (cbrt 1))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 489 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * * [misc]simplify: iters left: 2 (498 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* t (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* t (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (240 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (* t (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))))) * * * * [misc]progress: [ 490 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * * [misc]simplify: iters left: 2 (359 enodes) * * [misc]simplify: iters left: 1 (488 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) t) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) t) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (240 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) t) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))))) * * * * [misc]progress: [ 491 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) 1))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * * [misc]simplify: iters left: 2 (306 enodes) * * [misc]simplify: iters left: 1 (425 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 492 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (422 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) t)) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) t)) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (- 1 (* v v))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (- 1 (* v v))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))))) * * * * [misc]progress: [ 493 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (422 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (* (cbrt (sqrt 2)) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (* (cbrt (sqrt 2)) t)) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (cbrt (sqrt (- 1 (* 3 (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 (cbrt (sqrt 2))))) (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (cbrt (sqrt (- 1 (* 3 (* v v))))))))) * * * * [misc]progress: [ 494 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (422 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (* (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 2 3)))))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (* (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 2 3)))))) t)) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))))) * * * * [misc]progress: [ 495 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 (cbrt 1)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (417 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt 1)) (* (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt 1)) (* (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))) t)) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 (cbrt 1)))) (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 496 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) t) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (* (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) t) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (* (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (- 1 (* v v))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (- 1 (* v v))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))))) * * * * [misc]progress: [ 497 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (417 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (sqrt (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))))) t) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (sqrt (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))))) t) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (- 1 (* v v))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (* (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (- 1 (* v v))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))))) * * * * [misc]progress: [ 498 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 1))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (266 enodes) * * [misc]simplify: iters left: 1 (400 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) t) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) t) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) t) (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 499 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t 1)) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (240 enodes) * * [misc]simplify: iters left: 1 (329 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) t) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) t) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t 1)) (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 500 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (sqrt (/ (- 1 (* (* v v) 5)) PI)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (272 enodes) * * [misc]simplify: iters left: 1 (378 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ t (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ t (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (274 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (- 1 (* v v))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (- 1 (* v v))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))))) * * * * [misc]progress: [ 501 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3)))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (152 enodes) * * [misc]simplify: iters left: 3 (445 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* (* v v) (* 2 v)) (pow (* 3 v) 3)))))) (/ t (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* (* v v) (* 2 v)) (pow (* 3 v) 3)))))) (/ t (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * * [misc]simplify: iters left: 3 (386 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (- 1 (* v v))) (cbrt (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3)))))))) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (- 1 (* v v))) (cbrt (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v))))))))) * * * * [misc]progress: [ 502 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (131 enodes) * * [misc]simplify: iters left: 3 (309 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) t) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (/ (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) t) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (/ (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* v 3) v)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* v 3) v)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (/ (cbrt (sqrt (+ (* 3 (* v v)) 1))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v))))))))) (* (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (/ (cbrt (sqrt (+ (* 3 (* v v)) 1))) (- 1 (* v v)))))) * * * * [misc]progress: [ 503 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) 1) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (242 enodes) * * [misc]simplify: iters left: 1 (340 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (296 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (- t (* t (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) 1) (/ (/ (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v)))))) (/ (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (- t (* t (* v v)))))))) * * * * [misc]progress: [ 504 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (* t (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (318 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (- t (* t (* v v)))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (- t (* t (* v v)))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ 1 (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ 1 (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * * [misc]simplify: iters left: 2 (405 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (* t (- 1 (* v v)))) (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 505 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (* t (- 1 (* v v))) (sqrt (/ (- 1 (* (* v v) 5)) PI)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (235 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (- t (* (* t v) v))) (/ (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (- t (* (* t v) v))) (/ (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (234 enodes) * * [misc]simplify: iters left: 1 (326 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (* t (- 1 (* v v))) (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 506 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (* (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (210 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))) (* (cbrt (/ (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))) (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (- t (* v (* t v)))))) (cbrt (/ (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))) (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (- t (* v (* t v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ 1 (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))) (* (cbrt (/ (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))) (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (- t (* v (* t v)))))) (cbrt (/ (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))) (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (- t (* v (* t v)))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (198 enodes) * * [misc]simplify: iters left: 2 (386 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (/ (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (- t (* (* v t) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (* (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (cbrt (/ (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (- t (* (* v t) v)))))))) * * * * [misc]progress: [ 507 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (391 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (sqrt (* (/ (- t (* v (* t v))) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ 1 (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (sqrt (* (/ (- t (* v (* t v))) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (198 enodes) * * [misc]simplify: iters left: 2 (386 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (sqrt (/ (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (- t (* (* v t) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (sqrt (/ (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (- t (* (* v t) v)))))))) * * * * [misc]progress: [ 508 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (182 enodes) * * [misc]simplify: iters left: 2 (395 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (sqrt (- (/ 1 PI) (* (* v 5) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (cbrt (/ (sqrt (- (/ 1 PI) (* (* v 5) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) (* t (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (cbrt (/ (sqrt (- (/ 1 PI) (* (* v 5) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (cbrt (/ (sqrt (- (/ 1 PI) (* (* v 5) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) (* t (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (/ (- 1 (* v v)) (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (cbrt (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (/ (- 1 (* v v)) (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))))) * * * * [misc]progress: [ 509 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * * [misc]simplify: iters left: 2 (281 enodes) * * [misc]simplify: iters left: 1 (424 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))))) (* t (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))))) (* t (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (/ (- 1 (* v v)) (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (sqrt (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (/ (- 1 (* v v)) (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))))) * * * * [misc]progress: [ 510 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (250 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) (* t (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) (* t (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))))) * * * * [misc]progress: [ 511 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (250 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (* (* t (cbrt (sqrt 2))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (* (* t (cbrt (sqrt 2))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt 2))))) (* (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))))) * * * * [misc]progress: [ 512 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (250 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) t) (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) t) (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (/ (- 1 (* v v)) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (/ (- 1 (* v v)) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))))) * * * * [misc]progress: [ 513 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (249 enodes) * [exit]simplify: Simplified to (/ (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* v 5) (/ v PI))))) t) (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))) (/ (cbrt 1) (cbrt (sqrt (- (/ 1 PI) (* (* v 5) (/ v PI))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* v 5) (/ v PI))))) t) (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))) (/ (cbrt 1) (cbrt (sqrt (- (/ 1 PI) (* (* v 5) (/ v PI))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt 1)))) (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))))) * * * * [misc]progress: [ 514 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (334 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sqrt (- (/ 1 PI) (* (* v 5) (/ v PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* v 5) (/ v PI)))))) (* t (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))))) (* (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (cbrt (sqrt (- (/ 1 PI) (* (* v 5) (/ v PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* v 5) (/ v PI)))))) (* t (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))))) (* (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))))) * * * * [misc]progress: [ 515 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (249 enodes) * [exit]simplify: Simplified to (/ (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* v 5) (/ v PI))))) t) (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))) (/ (sqrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))) (cbrt (sqrt (- (/ 1 PI) (* (* v 5) (/ v PI))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* v 5) (/ v PI))))) t) (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))) (/ (sqrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))) (cbrt (sqrt (- (/ 1 PI) (* (* v 5) (/ v PI))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (sqrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (sqrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))))) * * * * [misc]progress: [ 516 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) 1))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (213 enodes) * * [misc]simplify: iters left: 2 (450 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (- (/ 1 PI) (* (* v 5) (/ v PI))))) t) (/ (cbrt (sqrt (- (/ 1 PI) (* (* v 5) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (cbrt (sqrt (- (/ 1 PI) (* (* v 5) (/ v PI))))) t) (/ (cbrt (sqrt (- (/ 1 PI) (* (* v 5) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) 1))) (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))))) * * * * [misc]progress: [ 517 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (366 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (- (/ 1 PI) (/ (* v 5) (/ PI v))))) (* t (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))) (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (fabs (cbrt (- (/ 1 PI) (/ (* v 5) (/ PI v))))) (* t (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))) (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (fabs (cbrt (- (/ 1 PI) (/ (* v 5) (/ PI v))))) (* t (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))) (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))))) (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))))) * * * * [misc]progress: [ 518 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (366 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (- (/ 1 PI) (/ (* v 5) (/ PI v))))) t) (* (cbrt (sqrt 2)) (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (fabs (cbrt (- (/ 1 PI) (/ (* v 5) (/ PI v))))) t) (* (cbrt (sqrt 2)) (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (/ (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (fabs (cbrt (- (/ 1 PI) (/ (* v 5) (/ PI v))))) t) (* (cbrt (sqrt 2)) (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))))) (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (/ (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))))) * * * * [misc]progress: [ 519 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (366 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (- (/ 1 PI) (/ (* v 5) (/ PI v))))) (* t (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))))) (cbrt (sqrt (sqrt (- 2 (* (* v 3) (* v 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (fabs (cbrt (- (/ 1 PI) (/ (* v 5) (/ PI v))))) (* t (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))))) (cbrt (sqrt (sqrt (- 2 (* (* v 3) (* v 2))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (fabs (cbrt (- (/ 1 PI) (/ (* v 5) (/ PI v))))) (* t (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))))) (cbrt (sqrt (sqrt (- 2 (* (* v 3) (* v 2))))))) (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))))) * * * * [misc]progress: [ 520 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * * [misc]simplify: iters left: 2 (368 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (- (/ 1 PI) (/ (* v 5) (/ PI v))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (* (cbrt 1) t))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (fabs (cbrt (- (/ 1 PI) (/ (* v 5) (/ PI v))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (* (cbrt 1) t))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (fabs (cbrt (- (/ 1 PI) (/ (* v 5) (/ PI v))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (* (cbrt 1) t))) (* (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))))) * * * * [misc]progress: [ 521 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (244 enodes) * [exit]simplify: Simplified to (/ (/ (/ (fabs (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) t) (* (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (fabs (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) t) (* (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (fabs (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) t) (* (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))))) (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))))) * * * * [misc]progress: [ 522 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * * [misc]simplify: iters left: 2 (368 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (- (/ 1 PI) (/ (* v 5) (/ PI v))))) (* (* t (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (fabs (cbrt (- (/ 1 PI) (/ (* v 5) (/ PI v))))) (* (* t (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (fabs (cbrt (- (/ 1 PI) (/ (* v 5) (/ PI v))))) (* (* t (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))))) * * * * [misc]progress: [ 523 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) 1))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (181 enodes) * * [misc]simplify: iters left: 2 (340 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* v 5))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) t) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* v 5))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) t) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* v 5))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) t) (* (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))))) * * * * [misc]progress: [ 524 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (204 enodes) * * [misc]simplify: iters left: 2 (417 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5))))) (cbrt (sqrt (- 2 (* (* 3 2) (* v v)))))) t) (cbrt (* (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))) (cbrt (sqrt (- 2 (* (* 3 2) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5))))) (cbrt (sqrt (- 2 (* (* 3 2) (* v v)))))) t) (cbrt (* (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))) (cbrt (sqrt (- 2 (* (* 3 2) (* v v)))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))))) * * * * [misc]progress: [ 525 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (204 enodes) * * [misc]simplify: iters left: 2 (417 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5))))) (cbrt (sqrt 2))) (* t (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5))))) (cbrt (sqrt 2))) (* t (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt 2))))) (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))))) * * * * [misc]progress: [ 526 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (204 enodes) * * [misc]simplify: iters left: 2 (417 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 2) (* v v))))))) (* t (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 2) (* v v))))))) (* t (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))))) * * * * [misc]progress: [ 527 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (410 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- (/ 1 PI) (* (* v 5) (/ v PI))))) (* (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))) (* t (cbrt 1)))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* v 5) (/ v PI))))) (* (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))) (* t (cbrt 1)))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt 1)))) (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))))) * * * * [misc]progress: [ 528 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v 5) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) t) (* (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v 5) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) t) (* (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))))) * * * * [misc]progress: [ 529 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (410 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- (/ 1 PI) (* (* v 5) (/ v PI))))) (* (sqrt (cbrt (sqrt (- 2 (* (* 3 2) (* v v)))))) (* t (cbrt (sqrt (- 2 (* (* 3 2) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* v 5) (/ v PI))))) (* (sqrt (cbrt (sqrt (- 2 (* (* 3 2) (* v v)))))) (* t (cbrt (sqrt (- 2 (* (* 3 2) (* v v)))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (sqrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (sqrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))))) * * * * [misc]progress: [ 530 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) 1))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (341 enodes) * * [misc]simplify: iters left: 1 (499 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (* (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (* (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))) t)) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (* (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))) t)) (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))))) * * * * [misc]progress: [ 531 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (316 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 PI) (* (/ v PI) (* 5 v))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) (/ (/ (- (/ 1 PI) (* (/ v PI) (* 5 v))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 532 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (316 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt 1) t) (cbrt (sqrt 2))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt 1) t) (cbrt (sqrt 2))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (240 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 PI) (* (* v v) (/ 5 PI))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (sqrt 1) t) (cbrt (sqrt 2))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (/ (- (/ 1 PI) (* (* v v) (/ 5 PI))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 533 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (316 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (240 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 PI) (* (* v v) (/ 5 PI))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (/ (- (/ 1 PI) (* (* v v) (/ 5 PI))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 534 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (cbrt 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (317 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt 1) (cbrt 1)) t) (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt 1) (cbrt 1)) t) (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 PI) (/ (* 5 v) (/ PI v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (sqrt 1) (cbrt 1)) t) (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))) (/ (/ (- (/ 1 PI) (/ (* 5 v) (/ PI v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 535 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * * [misc]simplify: iters left: 2 (491 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))))) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))))) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 PI) (* (/ v PI) (* 5 v))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))))) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))))) (/ (/ (- (/ 1 PI) (* (/ v PI) (* 5 v))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 536 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (317 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))) (sqrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))) (sqrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 PI) (* (/ v PI) (* 5 v))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))) (sqrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))))) (/ (/ (- (/ 1 PI) (* (/ v PI) (* 5 v))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 537 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt 1) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (238 enodes) * * [misc]simplify: iters left: 1 (343 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 PI) (/ (* 5 v) (/ PI v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt 1) t) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (/ (/ (- (/ 1 PI) (/ (* 5 v) (/ PI v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 538 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (348 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- 1 (* v (* v 5)))) t) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- 1 (* v (* v 5)))) t) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (/ (- 1 (* v v)) (sqrt (/ 1 PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (sqrt (- 1 (* v (* v 5)))) t) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (/ (- 1 (* v v)) (sqrt (/ 1 PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 539 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (348 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 (* v (* v 5)))) (* t (cbrt (sqrt 2)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- 1 (* v (* v 5)))) (* t (cbrt (sqrt 2)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- 1 (* v (* v 5)))) (* t (cbrt (sqrt 2)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))))) * * * * [misc]progress: [ 540 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (348 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- 1 (* v (* v 5)))) t) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- 1 (* v (* v 5)))) t) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (/ (- 1 (* v v)) (sqrt (/ 1 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (sqrt (- 1 (* v (* v 5)))) t) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (/ (- 1 (* v v)) (sqrt (/ 1 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* v 2))))))))) * * * * [misc]progress: [ 541 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * * [misc]simplify: iters left: 2 (340 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 (* (* v 5) v))) (* t (cbrt 1))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- 1 (* (* v 5) v))) (* t (cbrt 1))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- 1 (* (* v 5) v))) (* t (cbrt 1))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 542 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (213 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ (sqrt (- 1 (* v (* v 5)))) t) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* v 3))))))) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* v 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (/ (sqrt (- 1 (* v (* v 5)))) t) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* v 3))))))) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* v 3))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (/ (- 1 (* v v)) (sqrt (/ 1 PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (/ (sqrt (- 1 (* v (* v 5)))) t) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* v 3))))))) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* v 3))))))) (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (/ (- 1 (* v v)) (sqrt (/ 1 PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 543 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * * [misc]simplify: iters left: 2 (340 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- 1 (* (* v 5) v))) t) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- 1 (* (* v 5) v))) t) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (/ (- 1 (* v v)) (sqrt (/ 1 PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (sqrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (sqrt (- 1 (* (* v 5) v))) t) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (/ (- 1 (* v v)) (sqrt (/ 1 PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (sqrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 544 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * * [misc]simplify: iters left: 2 (274 enodes) * * [misc]simplify: iters left: 1 (388 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 (* v (* v 5)))) t) (cbrt (sqrt (- 2 (* (* 3 2) (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- 1 (* v (* v 5)))) t) (cbrt (sqrt (- 2 (* (* 3 2) (* v v)))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- 1 (* v (* v 5)))) t) (cbrt (sqrt (- 2 (* (* 3 2) (* v v)))))) (* (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 545 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (204 enodes) * * [misc]simplify: iters left: 2 (417 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5))))) (cbrt (sqrt (- 2 (* (* 3 2) (* v v)))))) t) (cbrt (* (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))) (cbrt (sqrt (- 2 (* (* 3 2) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5))))) (cbrt (sqrt (- 2 (* (* 3 2) (* v v)))))) t) (cbrt (* (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))) (cbrt (sqrt (- 2 (* (* 3 2) (* v v)))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))))) * * * * [misc]progress: [ 546 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (204 enodes) * * [misc]simplify: iters left: 2 (417 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5))))) (cbrt (sqrt 2))) (* t (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5))))) (cbrt (sqrt 2))) (* t (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt 2))))) (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))))) * * * * [misc]progress: [ 547 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (204 enodes) * * [misc]simplify: iters left: 2 (417 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 2) (* v v))))))) (* t (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 2) (* v v))))))) (* t (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))))) * * * * [misc]progress: [ 548 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (410 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- (/ 1 PI) (* (* v 5) (/ v PI))))) (* (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))) (* t (cbrt 1)))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* v 5) (/ v PI))))) (* (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))) (* t (cbrt 1)))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt 1)))) (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))))) * * * * [misc]progress: [ 549 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v 5) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) t) (* (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v 5) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) t) (* (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))))) * * * * [misc]progress: [ 550 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (410 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- (/ 1 PI) (* (* v 5) (/ v PI))))) (* (sqrt (cbrt (sqrt (- 2 (* (* 3 2) (* v v)))))) (* t (cbrt (sqrt (- 2 (* (* 3 2) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* v 5) (/ v PI))))) (* (sqrt (cbrt (sqrt (- 2 (* (* 3 2) (* v v)))))) (* t (cbrt (sqrt (- 2 (* (* 3 2) (* v v)))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (sqrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- 1 (* v v))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (sqrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))))) * * * * [misc]progress: [ 551 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) 1))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (341 enodes) * * [misc]simplify: iters left: 1 (499 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (* (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (* (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))) t)) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (* (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))) t)) (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))))) * * * * [misc]progress: [ 552 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (292 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 t) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ 1 t) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 PI) (* (/ v PI) (* 5 v))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ 1 t) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) (/ (/ (- (/ 1 PI) (* (/ v PI) (* 5 v))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 553 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (292 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 t) (cbrt (sqrt 2))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ 1 t) (cbrt (sqrt 2))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (240 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 PI) (* (* v v) (/ 5 PI))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ 1 t) (cbrt (sqrt 2))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (/ (- (/ 1 PI) (* (* v v) (/ 5 PI))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 554 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (292 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 t) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ 1 t) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (240 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 PI) (* (* v v) (/ 5 PI))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ 1 t) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (/ (- (/ 1 PI) (* (* v v) (/ 5 PI))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 555 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 (cbrt 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (283 enodes) * * [misc]simplify: iters left: 1 (493 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 t) (cbrt 1)) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ 1 t) (cbrt 1)) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 PI) (/ (* 5 v) (/ PI v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ 1 t) (cbrt 1)) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (/ (/ (- (/ 1 PI) (/ (* 5 v) (/ PI v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 556 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * * [misc]simplify: iters left: 2 (373 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 t) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* v 3))))))) (* (cbrt (sqrt (- 2 (* (* v 2) (* v 3))))) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ 1 t) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* v 3))))))) (* (cbrt (sqrt (- 2 (* (* v 2) (* v 3))))) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 PI) (* (/ v PI) (* 5 v))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ 1 t) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* v 3))))))) (* (cbrt (sqrt (- 2 (* (* v 2) (* v 3))))) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))))) (/ (/ (- (/ 1 PI) (* (/ v PI) (* 5 v))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 557 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (283 enodes) * * [misc]simplify: iters left: 1 (493 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 t) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (sqrt (cbrt (sqrt (- 2 (* (* v 2) (* v 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ 1 t) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (sqrt (cbrt (sqrt (- 2 (* (* v 2) (* v 3))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 PI) (* (/ v PI) (* 5 v))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ 1 t) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (sqrt (cbrt (sqrt (- 2 (* (* v 2) (* v 3))))))) (/ (/ (- (/ 1 PI) (* (/ v PI) (* 5 v))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 558 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ 1 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (211 enodes) * [exit]simplify: Simplified to (/ (/ 1 t) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ 1 t) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 PI) (/ (* 5 v) (/ PI v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ 1 t) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (/ (/ (- (/ 1 PI) (/ (* 5 v) (/ PI v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 559 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (183 enodes) * [exit]simplify: Simplified to (/ (/ 1 t) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ 1 t) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 PI) (/ (* 5 v) (/ PI v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ 1 t) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (/ (/ (- (/ 1 PI) (/ (* 5 v) (/ PI v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 560 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (sqrt (/ (- 1 (* (* v v) 5)) PI)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * * [misc]simplify: iters left: 1 (425 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))) t) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))) t) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (285 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (* (- 1 (* v v)) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (* (- 1 (* v v)) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 561 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3)))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (151 enodes) * * [misc]simplify: iters left: 3 (428 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* v 5) (/ PI v)))) t) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* v 3) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* v 5) (/ PI v)))) t) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* v 3) 3)))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * * [misc]simplify: iters left: 3 (376 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3)))))))) (* (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))))))) * * * * [misc]progress: [ 562 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ t (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (308 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) t) (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))) (cbrt (sqrt (- 2 (* (* (* v 3) v) (* (* v 3) (* v 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) t) (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))) (cbrt (sqrt (- 2 (* (* (* v 3) v) (* (* v 3) (* v 2))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* v 3) v)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* v 3) v)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * * [misc]simplify: iters left: 2 (325 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (* (* 3 v) v) 1))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) t) (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))) (cbrt (sqrt (- 2 (* (* (* v 3) v) (* (* v 3) (* v 2))))))) (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (* (* 3 v) v) 1))))))) * * * * [misc]progress: [ 563 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (175 enodes) * [exit]simplify: Simplified to (/ 1 (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ 1 (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (284 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 PI) (* (/ v PI) (* 5 v))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) (- t (* (* v v) t)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ 1 (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))) (/ (/ (- (/ 1 PI) (* (/ v PI) (* 5 v))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) (- t (* (* v v) t)))))) * * * * [misc]progress: [ 564 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (* t (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (219 enodes) * * [misc]simplify: iters left: 1 (406 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 t) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ 1 t) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ 1 (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ 1 (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (198 enodes) * * [misc]simplify: iters left: 2 (407 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 PI) (* (* 5 v) (/ v PI))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (* t (- 1 (* v v)))) (/ (/ (- (/ 1 PI) (* (* 5 v) (/ v PI))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * * * * [misc]progress: [ 565 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (* t (- 1 (* v v))) (sqrt (/ (- 1 (* (* v v) 5)) PI)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (234 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (- t (* t (* v v)))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (- t (* t (* v v)))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (236 enodes) * * [misc]simplify: iters left: 1 (328 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (/ (* t (- 1 (* v v))) (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 566 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (196 enodes) * * [misc]simplify: iters left: 2 (386 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (/ (- t (* (* v v) t)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (/ (- t (* (* v v) t)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ 1 (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (/ (- t (* (* v v) t)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (/ (- t (* (* v v) t)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (400 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (* (/ (- t (* t (* v v))) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ 1 (* (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (* (/ (- t (* t (* v v))) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))))) * * * * [misc]progress: [ 567 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (385 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (/ (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))) (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (- t (* (* v v) t)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ 1 (sqrt (/ (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))) (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (- t (* (* v v) t)))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (400 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (sqrt (* (/ (- t (* t (* v v))) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ 1 (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (sqrt (* (/ (- t (* t (* v v))) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))))) * * * * [misc]progress: [ 568 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ t (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * * [misc]simplify: iters left: 1 (400 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) t) (cbrt (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (cbrt (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) t) (cbrt (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (197 enodes) * * [misc]simplify: iters left: 2 (407 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ 1 (/ t (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (cbrt (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))))) * * * * [misc]progress: [ 569 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ t (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (253 enodes) * * [misc]simplify: iters left: 1 (348 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) t) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) t) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (197 enodes) * * [misc]simplify: iters left: 2 (407 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ 1 (/ t (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (sqrt (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))))) * * * * [misc]progress: [ 570 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (411 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (/ t (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v 2) (* v 3))))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (/ t (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v 2) (* v 3))))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (275 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ 1 (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (* (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 571 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (297 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (* t (cbrt (sqrt 2)))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (* t (cbrt (sqrt 2)))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (276 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ 1 (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt 2))))) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 572 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (411 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) t) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) t) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (276 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (* (/ (- 1 (* v v)) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ 1 (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (* (/ (- 1 (* v v)) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v)))))))))) * * * * [misc]progress: [ 573 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (295 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt 1)) (/ t (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt 1)) (/ t (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (262 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (* (sqrt (- 2 (* (* v v) (* 3 2)))) (- 1 (* v v)))) (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ 1 (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt 1)))) (* (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (* (sqrt (- 2 (* (* v v) (* 3 2)))) (- 1 (* v v)))) (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))))) * * * * [misc]progress: [ 574 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (252 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) t) (* (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) t) (* (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (275 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ 1 (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (* (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 575 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (411 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) t) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) t) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (275 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ 1 (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (* (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 576 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (335 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (/ t (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (/ t (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (262 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (* (sqrt (- 2 (* (* v v) (* 3 2)))) (- 1 (* v v)))) (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ 1 (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) 1))) (* (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (* (sqrt (- 2 (* (* v v) (* 3 2)))) (- 1 (* v v)))) (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))))) * * * * [misc]progress: [ 577 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (286 enodes) * * [misc]simplify: iters left: 1 (436 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) t) (cbrt (* (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))) (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) t) (cbrt (* (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))) (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (276 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (sqrt (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (- 1 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) t) (cbrt (* (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))) (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))))) (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (sqrt (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (- 1 (* v v))))))) * * * * [misc]progress: [ 578 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (169 enodes) * * [misc]simplify: iters left: 1 (272 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (* t (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (* t (cbrt (sqrt 2)))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * * [misc]simplify: iters left: 3 (277 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (- 1 (* v v)))) (/ (cbrt (sqrt (- 1 (* (* 3 v) v)))) (sqrt (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (* t (cbrt (sqrt 2)))) (/ (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (- 1 (* v v)))) (/ (cbrt (sqrt (- 1 (* (* 3 v) v)))) (sqrt (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))))) * * * * [misc]progress: [ 579 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (286 enodes) * * [misc]simplify: iters left: 1 (433 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) t) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (fabs (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) t) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * * [misc]simplify: iters left: 3 (277 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (- 1 (* v v)))) (/ (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (sqrt (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (fabs (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) t) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (- 1 (* v v)))) (/ (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (sqrt (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))))) * * * * [misc]progress: [ 580 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (270 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (* (cbrt 1) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (fabs (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (* (cbrt 1) t)) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (263 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (sqrt (- 2 (* (* v v) (* 3 2))))) (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (fabs (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (* (cbrt 1) t)) (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (sqrt (- 2 (* (* v v) (* 3 2))))) (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))))))) * * * * [misc]progress: [ 581 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * * [misc]simplify: iters left: 2 (345 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (* t (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (* t (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (276 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (sqrt (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (- 1 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (* t (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (sqrt (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (- 1 (* v v))))))) * * * * [misc]progress: [ 582 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (286 enodes) * * [misc]simplify: iters left: 1 (433 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) t) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (fabs (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) t) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (276 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (sqrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (sqrt (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (- 1 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (fabs (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) t) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (sqrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (sqrt (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (- 1 (* v v))))))) * * * * [misc]progress: [ 583 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (214 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) t) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (fabs (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) t) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (263 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (sqrt (- 2 (* (* v v) (* 3 2))))) (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (fabs (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) t) (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (sqrt (- 2 (* (* v v) (* 3 2))))) (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))))))) * * * * [misc]progress: [ 584 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (296 enodes) * * [misc]simplify: iters left: 1 (430 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) t) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) t) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (275 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ 1 (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (* (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 585 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: iters left: 1 (265 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (* t (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (* t (cbrt (sqrt 2)))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (276 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ 1 (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt 2))))) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 586 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (295 enodes) * * [misc]simplify: iters left: 1 (426 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) t) (cbrt (sqrt (sqrt (- 2 (* (* v 3) (* 2 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) t) (cbrt (sqrt (sqrt (- 2 (* (* v 3) (* 2 v))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (276 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (* (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ 1 (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (* (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v)))))))))) * * * * [misc]progress: [ 587 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (* (cbrt 1) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (* (cbrt 1) t)) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (262 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (* (sqrt (- 2 (* (* v v) (* 3 2)))) (- 1 (* v v)))) (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ 1 (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt 1)))) (* (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (* (sqrt (- 2 (* (* v v) (* 3 2)))) (- 1 (* v v)))) (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))))) * * * * [misc]progress: [ 588 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) t) (* (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) t) (* (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (275 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ 1 (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (* (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 589 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (295 enodes) * * [misc]simplify: iters left: 1 (426 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) t) (sqrt (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) t) (sqrt (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (275 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ 1 (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (* (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 590 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (154 enodes) * * [misc]simplify: iters left: 1 (208 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) t) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) t) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (262 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (* (sqrt (- 2 (* (* v v) (* 3 2)))) (- 1 (* v v)))) (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) t) (* (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (* (sqrt (- 2 (* (* v v) (* 3 2)))) (- 1 (* v v)))) (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))))) * * * * [misc]progress: [ 591 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ t (/ (sqrt 1) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (191 enodes) * * [misc]simplify: iters left: 1 (274 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 1) t) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt 1) t) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (273 enodes) * [exit]simplify: Simplified to (/ (/ (/ (- (/ 1 PI) (* (/ v PI) (* 5 v))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (* (- 1 (* v v)) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt 1) t) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (/ (/ (- (/ 1 PI) (* (/ v PI) (* 5 v))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (* (- 1 (* v v)) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))))) * * * * [misc]progress: [ 592 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ t (/ (sqrt 1) (cbrt (sqrt 2))))) * * [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 (43 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 1) t) (cbrt (sqrt 2))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt 1) t) (cbrt (sqrt 2))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (274 enodes) * [exit]simplify: Simplified to (/ (/ (/ (- (/ 1 PI) (* (/ v PI) (* 5 v))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (- 1 (* v v))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt 1) t) (cbrt (sqrt 2))) (/ (/ (/ (- (/ 1 PI) (* (/ v PI) (* 5 v))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (- 1 (* v v))))) * * * * [misc]progress: [ 593 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ t (/ (sqrt 1) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (275 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 1) t) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 2 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt 1) t) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (274 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 PI) (* (/ v PI) (* 5 v))) (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt 1) t) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (/ (- (/ 1 PI) (* (/ v PI) (* 5 v))) (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 594 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ t (/ (sqrt 1) (cbrt 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 1) (cbrt 1)) t) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt 1) (cbrt 1)) t) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (260 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (sqrt (- 2 (* (* 2 3) (* v v))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt 1) (cbrt 1)) t) (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (sqrt (- 2 (* (* 2 3) (* v v))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))))) * * * * [misc]progress: [ 595 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ t (/ (sqrt 1) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * * [misc]simplify: iters left: 1 (480 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 1) t) (* (cbrt (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt 1) t) (* (cbrt (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (273 enodes) * [exit]simplify: Simplified to (/ (/ (/ (- (/ 1 PI) (* (/ v PI) (* 5 v))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (* (- 1 (* v v)) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt 1) t) (* (cbrt (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))))) (/ (/ (/ (- (/ 1 PI) (* (/ v PI) (* 5 v))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (* (- 1 (* v v)) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))))) * * * * [misc]progress: [ 596 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ t (/ (sqrt 1) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (275 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 1) t) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt 1) t) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (273 enodes) * [exit]simplify: Simplified to (/ (/ (/ (- (/ 1 PI) (* (/ v PI) (* 5 v))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (* (- 1 (* v v)) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt 1) t) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (/ (/ (- (/ 1 PI) (* (/ v PI) (* 5 v))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (* (- 1 (* v v)) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))))) * * * * [misc]progress: [ 597 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ t (/ (sqrt 1) 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) t) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt 1) t) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (260 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (sqrt (- 2 (* (* 2 3) (* v v))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt 1) t) (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (sqrt (- 2 (* (* 2 3) (* v v))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))))) * * * * [misc]progress: [ 598 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (220 enodes) * * [misc]simplify: iters left: 1 (302 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 (* (* 5 v) v))) t) (cbrt (* (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))) (cbrt (sqrt (- 2 (* (* 3 2) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- 1 (* (* 5 v) v))) t) (cbrt (* (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))) (cbrt (sqrt (- 2 (* (* 3 2) (* v v)))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (275 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (/ 1 PI)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- 1 (* (* 5 v) v))) t) (cbrt (* (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))) (cbrt (sqrt (- 2 (* (* 3 2) (* v v)))))))) (/ (/ (* (sqrt (/ 1 PI)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 599 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* v (* 5 v)))) (* (cbrt (sqrt 2)) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (- 1 (* v (* 5 v)))) (* (cbrt (sqrt 2)) t)) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (276 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (/ (- 1 (* v v)) (sqrt (/ 1 PI)))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (- 1 (* v (* 5 v)))) (* (cbrt (sqrt 2)) t)) (/ (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (/ (- 1 (* v v)) (sqrt (/ 1 PI)))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))))) * * * * [misc]progress: [ 600 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (218 enodes) * * [misc]simplify: iters left: 1 (301 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 (* v (* 5 v)))) t) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- 1 (* v (* 5 v)))) t) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (276 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v))) (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- 1 (* v (* 5 v)))) t) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v))) (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))))) * * * * [misc]progress: [ 601 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (* v v) 5))) (* (cbrt 1) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (- 1 (* (* v v) 5))) (* (cbrt 1) t)) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (262 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (* (/ (- 1 (* v v)) (sqrt (/ 1 PI))) (sqrt (- 2 (* (* v v) (* 3 2)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (- 1 (* (* v v) 5))) (* (cbrt 1) t)) (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (* (/ (- 1 (* v v)) (sqrt (/ 1 PI))) (sqrt (- 2 (* (* v v) (* 3 2)))))))) * * * * [misc]progress: [ 602 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ t (/ (sqrt (- 1 (* (* v v) 5))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (302 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 (* (* 5 v) v))) t) (* (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- 1 (* (* 5 v) v))) t) (* (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (275 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (/ 1 PI)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- 1 (* (* 5 v) v))) t) (* (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))))) (/ (/ (* (sqrt (/ 1 PI)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 603 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ t (/ (sqrt (- 1 (* (* v v) 5))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (218 enodes) * * [misc]simplify: iters left: 1 (301 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 (* v (* 5 v)))) t) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- 1 (* v (* 5 v)))) t) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (275 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (/ 1 PI)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- 1 (* v (* 5 v)))) t) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (/ (* (sqrt (/ 1 PI)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 604 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ t (/ (sqrt (- 1 (* (* v v) 5))) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* v (* 5 v)))) t) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (- 1 (* v (* 5 v)))) t) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (262 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (* (/ (- 1 (* v v)) (sqrt (/ 1 PI))) (sqrt (- 2 (* (* v v) (* 3 2)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (- 1 (* v (* 5 v)))) t) (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (* (/ (- 1 (* v v)) (sqrt (/ 1 PI))) (sqrt (- 2 (* (* v v) (* 3 2)))))))) * * * * [misc]progress: [ 605 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (296 enodes) * * [misc]simplify: iters left: 1 (430 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) t) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) t) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (275 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ 1 (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (* (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 606 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: iters left: 1 (265 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (* t (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (* t (cbrt (sqrt 2)))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (276 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ 1 (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt 2))))) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 607 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (295 enodes) * * [misc]simplify: iters left: 1 (426 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) t) (cbrt (sqrt (sqrt (- 2 (* (* v 3) (* 2 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) t) (cbrt (sqrt (sqrt (- 2 (* (* v 3) (* 2 v))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (276 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (* (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ 1 (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (* (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v)))))))))) * * * * [misc]progress: [ 608 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (* (cbrt 1) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (* (cbrt 1) t)) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (262 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (* (sqrt (- 2 (* (* v v) (* 3 2)))) (- 1 (* v v)))) (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ 1 (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt 1)))) (* (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (* (sqrt (- 2 (* (* v v) (* 3 2)))) (- 1 (* v v)))) (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))))) * * * * [misc]progress: [ 609 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) t) (* (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) t) (* (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (275 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ 1 (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (* (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 610 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (295 enodes) * * [misc]simplify: iters left: 1 (426 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) t) (sqrt (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) t) (sqrt (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (275 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ 1 (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (* (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 611 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (154 enodes) * * [misc]simplify: iters left: 1 (208 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) t) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) t) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (262 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (* (sqrt (- 2 (* (* v v) (* 3 2)))) (- 1 (* v v)))) (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) t) (* (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (* (sqrt (- 2 (* (* v v) (* 3 2)))) (- 1 (* v v)))) (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))))) * * * * [misc]progress: [ 612 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ t (/ 1 (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (241 enodes) * [exit]simplify: Simplified to (/ (/ 1 t) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ 1 t) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (273 enodes) * [exit]simplify: Simplified to (/ (/ (/ (- (/ 1 PI) (* (/ v PI) (* 5 v))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (* (- 1 (* v v)) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ 1 t) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) (/ (/ (/ (- (/ 1 PI) (* (/ v PI) (* 5 v))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (* (- 1 (* v v)) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))))) * * * * [misc]progress: [ 613 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ t (/ 1 (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (/ 1 t) (cbrt (sqrt 2))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ 1 t) (cbrt (sqrt 2))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (274 enodes) * [exit]simplify: Simplified to (/ (/ (/ (- (/ 1 PI) (* (/ v PI) (* 5 v))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (- 1 (* v v))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ 1 t) (cbrt (sqrt 2))) (/ (/ (/ (- (/ 1 PI) (* (/ v PI) (* 5 v))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (- 1 (* v v))))) * * * * [misc]progress: [ 614 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ t (/ 1 (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (166 enodes) * * [misc]simplify: iters left: 1 (236 enodes) * [exit]simplify: Simplified to (/ (/ 1 t) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ 1 t) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (274 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 PI) (* (/ v PI) (* 5 v))) (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ 1 t) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (/ (- (/ 1 PI) (* (/ v PI) (* 5 v))) (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 615 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ t (/ 1 (cbrt 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (/ 1 t) (cbrt 1)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ 1 t) (cbrt 1)) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (260 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (sqrt (- 2 (* (* 2 3) (* v v))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ 1 t) (cbrt 1)) (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (sqrt (- 2 (* (* 2 3) (* v v))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))))) * * * * [misc]progress: [ 616 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ t (/ 1 (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: iters left: 1 (314 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 t) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))))) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ 1 t) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))))) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (273 enodes) * [exit]simplify: Simplified to (/ (/ (/ (- (/ 1 PI) (* (/ v PI) (* 5 v))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (* (- 1 (* v v)) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ 1 t) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))))) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))))) (/ (/ (/ (- (/ 1 PI) (* (/ v PI) (* 5 v))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (* (- 1 (* v v)) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))))) * * * * [misc]progress: [ 617 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ t (/ 1 (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (166 enodes) * * [misc]simplify: iters left: 1 (236 enodes) * [exit]simplify: Simplified to (/ (/ 1 t) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ 1 t) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (273 enodes) * [exit]simplify: Simplified to (/ (/ (/ (- (/ 1 PI) (* (/ v PI) (* 5 v))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (* (- 1 (* v v)) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ 1 t) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (/ (/ (- (/ 1 PI) (* (/ v PI) (* 5 v))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (* (- 1 (* v v)) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))))) * * * * [misc]progress: [ 618 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ t (/ 1 1))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ 1 t) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ 1 t) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (260 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (sqrt (- 2 (* (* 2 3) (* v v))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ 1 t) (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (sqrt (- 2 (* (* 2 3) (* v v))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))))) * * * * [misc]progress: [ 619 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ t 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ 1 t) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ 1 t) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (260 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (sqrt (- 2 (* (* 2 3) (* v v))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ 1 t) (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (sqrt (- 2 (* (* 2 3) (* v v))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))))) * * * * [misc]progress: [ 620 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ t (sqrt (/ (- 1 (* (* v v) 5)) PI)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) t) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) t) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * * [misc]simplify: iters left: 3 (342 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (- 1 (* v v))) (pow (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) 3)) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ 1 (/ t (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (- 1 (* v v))) (pow (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) 3)))) * * * * [misc]progress: [ 621 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ t (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (368 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) t) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) t) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * * [misc]simplify: iters left: 3 (408 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (- 1 (* v v))) (/ (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ 1 (/ t (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3)))))))) (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (- 1 (* v v))) (/ (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))))))))) * * * * [misc]progress: [ 622 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ t (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (253 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* v 3) (* v 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* v 3) (* v 3))))))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* v 3) v)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* v 3) v)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * * [misc]simplify: iters left: 2 (415 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (cbrt (sqrt (+ (* (* 3 v) v) 1))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* v 3) (* v 3))))))) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (cbrt (sqrt (+ (* (* 3 v) v) 1))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 623 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (v t) (* 1 (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (337 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (sqrt (- 2 (* (* 2 3) (* v v))))) (/ (- t (* t (* v v))) (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* 1 (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (sqrt (- 2 (* (* 2 3) (* v v))))) (/ (- t (* t (* v v))) (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))))) * * * * [misc]progress: [ 624 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* t (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (/ (/ 1 t) (- 1 (* v v))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ 1 t) (- 1 (* v v))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ 1 (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ 1 (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (244 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (/ (sqrt (- 2 (* (* v v) (* 3 2)))) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ 1 (* t (- 1 (* v v)))) (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (/ (sqrt (- 2 (* (* v v) (* 3 2)))) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))))) * * * * [misc]progress: [ 625 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* t (- 1 (* v v))) (sqrt (/ (- 1 (* (* v v) 5)) PI)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (309 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (- t (* (* v v) t))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (- t (* (* v v) t))) (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (242 enodes) * * [misc]simplify: iters left: 1 (335 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (sqrt (- 2 (* (* v v) (* 2 3))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ 1 (/ (* t (- 1 (* v v))) (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (sqrt (- 2 (* (* v v) (* 2 3))))))) * * * * [misc]progress: [ 626 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (196 enodes) * * [misc]simplify: iters left: 2 (388 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (* (cbrt (* (cbrt (sqrt (- 2 (* (* v 2) (* v 3))))) (/ (- t (* (* v t) v)) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v 2) (* v 3))))) (/ (- t (* (* v t) v)) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (* (cbrt (* (cbrt (sqrt (- 2 (* (* v 2) (* v 3))))) (/ (- t (* (* v t) v)) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v 2) (* v 3))))) (/ (- t (* (* v t) v)) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))))) (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * * [misc]simplify: iters left: 2 (404 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))) (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))) (/ (- t (* (* v t) v)) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (/ 1 (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))) (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))) (/ (- t (* (* v t) v)) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))))))) * * * * [misc]progress: [ 627 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (384 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (sqrt (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (- t (* (* v t) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (sqrt (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (- t (* (* v t) v)))))) (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * * [misc]simplify: iters left: 2 (404 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))) (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))) (sqrt (* (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))) (/ (- t (* (* v t) v)) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (/ 1 (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))) (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))) (sqrt (* (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))) (/ (- t (* (* v t) v)) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))))))) * * * * [misc]progress: [ 628 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (256 enodes) * * [misc]simplify: iters left: 1 (347 enodes) * [exit]simplify: Simplified to (* (* (cbrt (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) t)) (cbrt (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (* (cbrt (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) t)) (cbrt (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (198 enodes) * * [misc]simplify: iters left: 2 (439 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (* (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (cbrt (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (* (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 629 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (240 enodes) * * [misc]simplify: iters left: 1 (329 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (sqrt (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t)) (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (198 enodes) * * [misc]simplify: iters left: 2 (439 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (* (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (sqrt (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (* (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 630 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (339 enodes) * * [misc]simplify: iters left: 1 (490 enodes) * [exit]simplify: Simplified to (/ (* (* (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) t)) (cbrt (* (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))) (cbrt (sqrt (- 2 (* (* 3 2) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (* (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) t)) (cbrt (* (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))) (cbrt (sqrt (- 2 (* (* 3 2) (* v v)))))))) (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (275 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (* (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (* (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 631 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (227 enodes) * * [misc]simplify: iters left: 1 (339 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (/ t (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (/ t (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (276 enodes) * [exit]simplify: Simplified to (/ (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (- 1 (* v v))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (cbrt (sqrt (- 1 (* (* v 3) v))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt 2))))) (/ (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (- 1 (* v v))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * * * [misc]progress: [ 632 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (339 enodes) * * [misc]simplify: iters left: 1 (493 enodes) * [exit]simplify: Simplified to (/ (* (* (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) t)) (cbrt (sqrt (sqrt (- 2 (* (* 3 2) (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (* (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) t)) (cbrt (sqrt (sqrt (- 2 (* (* 3 2) (* v v))))))) (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (276 enodes) * [exit]simplify: Simplified to (/ (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (- 1 (* v v))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (- 1 (* v v))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 633 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (225 enodes) * * [misc]simplify: iters left: 1 (337 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (/ t (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (/ (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt 1))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (/ t (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (/ (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt 1))) (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (262 enodes) * [exit]simplify: Simplified to (/ (* (/ 1 (- 1 (* v v))) (cbrt (sqrt (- (/ 1 PI) (/ (* v 5) (/ PI v)))))) (sqrt (- 2 (* (* v v) (* 3 2))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt 1)))) (/ (* (/ 1 (- 1 (* v v))) (cbrt (sqrt (- (/ 1 PI) (/ (* v 5) (/ PI v)))))) (sqrt (- 2 (* (* v v) (* 3 2))))))) * * * * [misc]progress: [ 634 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (252 enodes) * * [misc]simplify: iters left: 2 (497 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) t) (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) t) (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))))) (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (275 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (* (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (* (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 635 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (339 enodes) * * [misc]simplify: iters left: 1 (493 enodes) * [exit]simplify: Simplified to (/ (* (* (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) t)) (sqrt (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (* (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) t)) (sqrt (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))))) (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (275 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (sqrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (* (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (sqrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (* (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 636 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (226 enodes) * * [misc]simplify: iters left: 1 (412 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (* (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) t)) (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (262 enodes) * [exit]simplify: Simplified to (/ (* (/ 1 (- 1 (* v v))) (cbrt (sqrt (- (/ 1 PI) (/ (* v 5) (/ PI v)))))) (sqrt (- 2 (* (* v v) (* 3 2))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) 1))) (/ (* (/ 1 (- 1 (* v v))) (cbrt (sqrt (- (/ 1 PI) (/ (* v 5) (/ PI v)))))) (sqrt (- 2 (* (* v v) (* 3 2))))))) * * * * [misc]progress: [ 637 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * * [misc]simplify: iters left: 1 (387 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) t)) (cbrt (* (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))) (cbrt (sqrt (- 2 (* (* 3 2) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) t)) (cbrt (* (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))) (cbrt (sqrt (- 2 (* (* 3 2) (* v v)))))))) (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (275 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (* (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) t)) (cbrt (* (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))) (cbrt (sqrt (- 2 (* (* 3 2) (* v v)))))))) (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (* (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 638 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (228 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (* t (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (fabs (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (* t (cbrt (sqrt 2))))) (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (276 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (- 1 (* v v))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (cbrt (sqrt (- 1 (* (* v 3) v))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (* (fabs (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (* t (cbrt (sqrt 2))))) (/ (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (- 1 (* v v))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * * * [misc]progress: [ 639 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * * [misc]simplify: iters left: 1 (384 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) t) (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 2) (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) t) (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 2) (* v v))))))) (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (276 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (- 1 (* v v))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) t) (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 2) (* v v))))))) (/ (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (- 1 (* v v))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 640 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (226 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (/ (* t (cbrt 1)) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (/ (* t (cbrt 1)) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (262 enodes) * [exit]simplify: Simplified to (/ (* (/ 1 (- 1 (* v v))) (sqrt (cbrt (- (/ 1 PI) (/ (* v 5) (/ PI v)))))) (sqrt (- 2 (* (* v v) (* 3 2))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (/ (* t (cbrt 1)) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (/ (* (/ 1 (- 1 (* v v))) (sqrt (cbrt (- (/ 1 PI) (/ (* v 5) (/ PI v)))))) (sqrt (- 2 (* (* v v) (* 3 2))))))) * * * * [misc]progress: [ 641 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * * [misc]simplify: iters left: 2 (337 enodes) * * [misc]simplify: iters left: 1 (483 enodes) * [exit]simplify: Simplified to (/ (/ (* (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) t)) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) t)) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (275 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (* (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) t)) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (* (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 642 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * * [misc]simplify: iters left: 1 (384 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) t) (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) t) (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))))) (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (275 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (sqrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (* (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) t) (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))))) (/ (/ (sqrt (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (sqrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (* (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 643 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (234 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) t)) (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (262 enodes) * [exit]simplify: Simplified to (/ (* (/ 1 (- 1 (* v v))) (sqrt (cbrt (- (/ 1 PI) (/ (* v 5) (/ PI v)))))) (sqrt (- 2 (* (* v v) (* 3 2))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (* (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) t)) (/ (* (/ 1 (- 1 (* v v))) (sqrt (cbrt (- (/ 1 PI) (/ (* v 5) (/ PI v)))))) (sqrt (- 2 (* (* v v) (* 3 2))))))) * * * * [misc]progress: [ 644 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * * [misc]simplify: iters left: 1 (388 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) t) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) t) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (275 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (* (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (* (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 645 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (225 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (* t (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (* t (cbrt (sqrt 2))))) (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (276 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (- 1 (* v v))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (cbrt (sqrt (- 1 (* (* v 3) v))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt 2))))) (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (- 1 (* v v))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * * * [misc]progress: [ 646 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * * [misc]simplify: iters left: 2 (276 enodes) * * [misc]simplify: iters left: 1 (387 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (/ t (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 2 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (/ t (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (276 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (- 1 (* v v))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (- 1 (* v v))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 647 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (* (cbrt 1) t))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (* (cbrt 1) t))) (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (262 enodes) * [exit]simplify: Simplified to (/ (* (/ 1 (- 1 (* v v))) (sqrt (sqrt (- (/ 1 PI) (/ (* v 5) (/ PI v)))))) (sqrt (- 2 (* (* v v) (* 3 2))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt 1)))) (/ (* (/ 1 (- 1 (* v v))) (sqrt (sqrt (- (/ 1 PI) (/ (* v 5) (/ PI v)))))) (sqrt (- 2 (* (* v v) (* 3 2))))))) * * * * [misc]progress: [ 648 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * * [misc]simplify: iters left: 2 (336 enodes) * * [misc]simplify: iters left: 1 (488 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) t))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) t))) (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (275 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (* (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (* (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 649 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * * [misc]simplify: iters left: 2 (276 enodes) * * [misc]simplify: iters left: 1 (387 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (/ t (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (/ t (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (275 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (sqrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (* (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (sqrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (* (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 650 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (225 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) t) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) t) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (262 enodes) * [exit]simplify: Simplified to (/ (* (/ 1 (- 1 (* v v))) (sqrt (sqrt (- (/ 1 PI) (/ (* v 5) (/ PI v)))))) (sqrt (- 2 (* (* v v) (* 3 2))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) 1))) (/ (* (/ 1 (- 1 (* v v))) (sqrt (sqrt (- (/ 1 PI) (/ (* v 5) (/ PI v)))))) (sqrt (- 2 (* (* v v) (* 3 2))))))) * * * * [misc]progress: [ 651 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt 1) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * * [misc]simplify: iters left: 1 (388 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt 1) t) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (/ (sqrt 1) t) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (274 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (* (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt 1) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (* (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))))) * * * * [misc]progress: [ 652 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt 1) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (225 enodes) * [exit]simplify: Simplified to (* (/ (sqrt 1) (* t (cbrt (sqrt 2)))) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (sqrt 1) (* t (cbrt (sqrt 2)))) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (275 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ 1 (- 1 (* v v))) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 1 (* (* v 3) v))))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt 1) (cbrt (sqrt 2))))) (/ (/ (* (/ 1 (- 1 (* v v))) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 1 (* (* v 3) v))))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 653 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt 1) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * * [misc]simplify: iters left: 2 (276 enodes) * * [misc]simplify: iters left: 1 (387 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 1) (/ t (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 2 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt 1) (/ t (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (275 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (* (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt 1) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (* (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 654 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt 1) (cbrt 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (* (cbrt 1) (/ t (sqrt 1)))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (* (cbrt 1) (/ t (sqrt 1)))) (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (262 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 2 (* (* v 3) (* v 2))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt 1) (cbrt 1)))) (/ (/ 1 (sqrt (- 2 (* (* v 3) (* v 2))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))))) * * * * [misc]progress: [ 655 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt 1) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * * [misc]simplify: iters left: 2 (336 enodes) * * [misc]simplify: iters left: 1 (488 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (/ (sqrt 1) t))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (/ (sqrt 1) t))) (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (274 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (* (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt 1) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (* (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))))) * * * * [misc]progress: [ 656 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt 1) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * * [misc]simplify: iters left: 2 (276 enodes) * * [misc]simplify: iters left: 1 (387 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 1) (/ t (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt 1) (/ t (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (274 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (* (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt 1) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (* (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))))) * * * * [misc]progress: [ 657 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt 1) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (225 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (/ t (sqrt 1))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (/ t (sqrt 1))) (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (262 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 2 (* (* v 3) (* v 2))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt 1) 1))) (/ (/ 1 (sqrt (- 2 (* (* v 3) (* v 2))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))))) * * * * [misc]progress: [ 658 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * * [misc]simplify: iters left: 1 (388 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (- 1 (* (* 5 v) v))) t) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (/ (sqrt (- 1 (* (* 5 v) v))) t) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (220 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* v 3))))))) (* (* (cbrt (sqrt (- 2 (* (* v 2) (* v 3))))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* v 3))))))) (* (* (cbrt (sqrt (- 2 (* (* v 2) (* v 3))))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 659 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (225 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt 2))) (/ (sqrt (- 1 (* v (* 5 v)))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt 2))) (/ (sqrt (- 1 (* v (* 5 v)))) t)) (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (/ (- 1 (* v v)) (sqrt (/ 1 PI)))) (cbrt (sqrt (- 1 (* (* v 3) v))))) (* (cbrt (sqrt (- 2 (* (* v 2) (* v 3))))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt 2))))) (/ (/ (/ 1 (/ (- 1 (* v v)) (sqrt (/ 1 PI)))) (cbrt (sqrt (- 1 (* (* v 3) v))))) (* (cbrt (sqrt (- 2 (* (* v 2) (* v 3))))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3))))))))) * * * * [misc]progress: [ 660 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * * [misc]simplify: iters left: 2 (276 enodes) * * [misc]simplify: iters left: 1 (387 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 (* v (* 5 v)))) (/ t (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 2 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- 1 (* v (* 5 v)))) (/ t (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* v 3))))))) (* (* (cbrt (sqrt (- 2 (* (* v 2) (* v 3))))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* v 3))))))) (* (* (cbrt (sqrt (- 2 (* (* v 2) (* v 3))))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 661 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) t) (/ (cbrt 1) (sqrt (- 1 (* (* v v) 5))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) t) (/ (cbrt 1) (sqrt (- 1 (* (* v v) 5))))) (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * [exit]simplify: Simplified to (/ (/ 1 (/ (- 1 (* v v)) (sqrt (/ 1 PI)))) (sqrt (- 2 (* (* v v) (* 3 2))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt 1)))) (/ (/ 1 (/ (- 1 (* v v)) (sqrt (/ 1 PI)))) (sqrt (- 2 (* (* v v) (* 3 2))))))) * * * * [misc]progress: [ 662 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * * [misc]simplify: iters left: 2 (336 enodes) * * [misc]simplify: iters left: 1 (488 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (/ (sqrt (- 1 (* (* 5 v) v))) t))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (/ (sqrt (- 1 (* (* 5 v) v))) t))) (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (220 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* v 3))))))) (* (* (cbrt (sqrt (- 2 (* (* v 2) (* v 3))))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* v 3))))))) (* (* (cbrt (sqrt (- 2 (* (* v 2) (* v 3))))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 663 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * * [misc]simplify: iters left: 2 (276 enodes) * * [misc]simplify: iters left: 1 (387 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 (* v (* 5 v)))) (/ t (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- 1 (* v (* 5 v)))) (/ t (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (220 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 PI)) (sqrt (cbrt (sqrt (- 2 (* (* v 2) (* v 3))))))) (* (* (cbrt (sqrt (- 2 (* (* v 2) (* v 3))))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (sqrt (/ 1 PI)) (sqrt (cbrt (sqrt (- 2 (* (* v 2) (* v 3))))))) (* (* (cbrt (sqrt (- 2 (* (* v 2) (* v 3))))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 664 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt (- 1 (* (* v v) 5))) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (225 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (/ t (sqrt (- 1 (* (* v v) 5))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (/ t (sqrt (- 1 (* (* v v) 5))))) (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * [exit]simplify: Simplified to (/ (/ 1 (/ (- 1 (* v v)) (sqrt (/ 1 PI)))) (sqrt (- 2 (* (* v v) (* 3 2))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt (- 1 (* (* v v) 5))) 1))) (/ (/ 1 (/ (- 1 (* v v)) (sqrt (/ 1 PI)))) (sqrt (- 2 (* (* v v) (* 3 2))))))) * * * * [misc]progress: [ 665 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * * [misc]simplify: iters left: 1 (388 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) t) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) t) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (275 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (* (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (* (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 666 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (225 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (* t (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (* t (cbrt (sqrt 2))))) (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (276 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (- 1 (* v v))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (cbrt (sqrt (- 1 (* (* v 3) v))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt 2))))) (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (- 1 (* v v))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * * * [misc]progress: [ 667 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * * [misc]simplify: iters left: 2 (276 enodes) * * [misc]simplify: iters left: 1 (387 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (/ t (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 2 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (/ t (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (276 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (- 1 (* v v))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (- 1 (* v v))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 668 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (* (cbrt 1) t))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (* (cbrt 1) t))) (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (262 enodes) * [exit]simplify: Simplified to (/ (* (/ 1 (- 1 (* v v))) (sqrt (sqrt (- (/ 1 PI) (/ (* v 5) (/ PI v)))))) (sqrt (- 2 (* (* v v) (* 3 2))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt 1)))) (/ (* (/ 1 (- 1 (* v v))) (sqrt (sqrt (- (/ 1 PI) (/ (* v 5) (/ PI v)))))) (sqrt (- 2 (* (* v v) (* 3 2))))))) * * * * [misc]progress: [ 669 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * * [misc]simplify: iters left: 2 (336 enodes) * * [misc]simplify: iters left: 1 (488 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) t))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) t))) (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (275 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (* (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (* (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 670 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * * [misc]simplify: iters left: 2 (276 enodes) * * [misc]simplify: iters left: 1 (387 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (/ t (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (/ t (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 2 3))))))) (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (275 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (sqrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (* (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (sqrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (* (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 671 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (225 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) t) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) t) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (262 enodes) * [exit]simplify: Simplified to (/ (* (/ 1 (- 1 (* v v))) (sqrt (sqrt (- (/ 1 PI) (/ (* v 5) (/ PI v)))))) (sqrt (- 2 (* (* v v) (* 3 2))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) 1))) (/ (* (/ 1 (- 1 (* v v))) (sqrt (sqrt (- (/ 1 PI) (/ (* v 5) (/ PI v)))))) (sqrt (- 2 (* (* v v) (* 3 2))))))) * * * * [misc]progress: [ 672 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ 1 (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (289 enodes) * * [misc]simplify: iters left: 1 (440 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) t) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) t) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))))) (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (274 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (* (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ 1 (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (* (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))))) * * * * [misc]progress: [ 673 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ 1 (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (285 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (* (cbrt (sqrt 2)) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (* (cbrt (sqrt 2)) t)) (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (275 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ 1 (- 1 (* v v))) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 1 (* (* v 3) v))))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ 1 (cbrt (sqrt 2))))) (/ (/ (* (/ 1 (- 1 (* v v))) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 1 (* (* v 3) v))))) (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 674 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ 1 (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (291 enodes) * * [misc]simplify: iters left: 1 (443 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) t) (cbrt (sqrt (sqrt (- 2 (* (* 2 v) (* 3 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) t) (cbrt (sqrt (sqrt (- 2 (* (* 2 v) (* 3 v))))))) (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (275 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (* (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ 1 (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (* (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 675 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ 1 (cbrt 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (283 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (* (cbrt 1) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (* (cbrt 1) t)) (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (262 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 2 (* (* v 3) (* v 2))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ 1 (cbrt 1)))) (/ (/ 1 (sqrt (- 2 (* (* v 3) (* v 2))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))))) * * * * [misc]progress: [ 676 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ 1 (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (348 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) t) (* (cbrt (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) t) (* (cbrt (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))))) (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (274 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (* (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ 1 (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (* (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))))) * * * * [misc]progress: [ 677 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ 1 (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (291 enodes) * * [misc]simplify: iters left: 1 (443 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) t) (sqrt (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) t) (sqrt (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))))) (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (274 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (* (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ 1 (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (* (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))))) * * * * [misc]progress: [ 678 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ 1 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) t) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) t) (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (262 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 2 (* (* v 3) (* v 2))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) t) (/ (/ 1 (sqrt (- 2 (* (* v 3) (* v 2))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))))) * * * * [misc]progress: [ 679 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (262 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 2 (* (* v 3) (* v 2))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t 1)) (/ (/ 1 (sqrt (- 2 (* (* v 3) (* v 2))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))))) * * * * [misc]progress: [ 680 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (sqrt (/ (- 1 (* (* v v) 5)) PI)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (- 1 (* (* v v) 5)) (* t PI)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (- 1 (* (* v v) 5)) (* t PI)) (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * * [misc]simplify: iters left: 2 (469 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* (* v v) (* 3 2))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (- 1 (* (* v v) 5)) (* t PI)) (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* (* v v) (* 3 2))))))) * * * * [misc]progress: [ 681 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (367 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 PI) (* (* v v) (/ 5 PI))) t) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (- (/ 1 PI) (* (* v v) (/ 5 PI))) t) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * * [misc]simplify: iters left: 3 (375 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (* (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (- (/ 1 PI) (* (* v v) (/ 5 PI))) t) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (/ (cbrt (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (* (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))))) * * * * [misc]progress: [ 682 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ t (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (248 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 PI) (* (* 5 v) (/ v PI))) t) (cbrt (sqrt (- 2 (* (* (* v v) 3) (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (- (/ 1 PI) (* (* 5 v) (/ v PI))) t) (cbrt (sqrt (- 2 (* (* (* v v) 3) (* (* 2 3) (* v v))))))) (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* v 3) v)))))))) * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* v 3) v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (335 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (+ (* (* v 3) v) 1))) (- 1 (* v v))) (* (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))) (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (- (/ 1 PI) (* (* 5 v) (/ v PI))) t) (cbrt (sqrt (- 2 (* (* (* v v) 3) (* (* 2 3) (* v v))))))) (/ (/ (cbrt (sqrt (+ (* (* v 3) v) 1))) (- 1 (* v v))) (* (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))) (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))))))) * * * * [misc]progress: [ 683 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (131 enodes) * * [misc]simplify: iters left: 3 (342 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (/ (* v 5) (/ PI v)))) (sqrt (- 2 (* (* v 3) (* v 2))))) (- t (* (* v v) t))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) 1) (/ (/ (sqrt (- (/ 1 PI) (/ (* v 5) (/ PI v)))) (sqrt (- 2 (* (* v 3) (* v 2))))) (- t (* (* v v) t))))) * * * * [misc]progress: [ 684 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* t (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (- t (* v (* v t)))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (- t (* v (* v t)))) (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ 1 (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (/ 1 (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (247 enodes) * [exit]simplify: Simplified to (/ 1 (/ (sqrt (- 2 (* (* v v) (* 3 2)))) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* t (- 1 (* v v)))) (/ 1 (/ (sqrt (- 2 (* (* v v) (* 3 2)))) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))))) * * * * [misc]progress: [ 685 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (/ (* t (- 1 (* v v))) (sqrt (/ (- 1 (* (* v v) 5)) PI)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (227 enodes) * * [misc]simplify: iters left: 1 (438 enodes) * [exit]simplify: Simplified to (/ (- 1 (* (* v v) 5)) (* (- 1 (* v v)) (* t PI))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (- 1 (* (* v v) 5)) (* (- 1 (* v v)) (* t PI))) (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (176 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- 2 (* (* v v) (* 3 2))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (- 1 (* (* v v) 5)) (* (- 1 (* v v)) (* t PI))) (/ 1 (sqrt (- 2 (* (* v v) (* 3 2))))))) * * * * [misc]progress: [ 686 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (* (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (174 enodes) * * [misc]simplify: iters left: 3 (459 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (* (cbrt (* (/ (- t (* (* t v) v)) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (cbrt (* (/ (- t (* (* t v) v)) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (* (cbrt (* (/ (- t (* (* t v) v)) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (cbrt (* (/ (- t (* (* t v) v)) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * * [misc]simplify: iters left: 3 (416 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (* (* (* v v) 3) (* (* v v) 3)) (+ 1 (* (* v v) 3))))) (cbrt (sqrt (+ (* (* (* v v) 3) (* (* v v) 3)) (+ 1 (* (* v v) 3)))))) (cbrt (* (/ (- t (* (* v v) t)) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (* (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (* (cbrt (sqrt (+ (* (* (* v v) 3) (* (* v v) 3)) (+ 1 (* (* v v) 3))))) (cbrt (sqrt (+ (* (* (* v v) 3) (* (* v v) 3)) (+ 1 (* (* v v) 3)))))) (cbrt (* (/ (- t (* (* v v) t)) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))))) * * * * [misc]progress: [ 687 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (449 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (* (sqrt (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (/ (- t (* v (* t v))) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))) (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (* (sqrt (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (/ (- t (* v (* t v))) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))) (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * * [misc]simplify: iters left: 3 (416 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (* (* (* v v) 3) (* (* v v) 3)) (+ 1 (* (* v v) 3))))) (cbrt (sqrt (+ (* (* (* v v) 3) (* (* v v) 3)) (+ 1 (* (* v v) 3)))))) (sqrt (* (/ (- t (* (* v v) t)) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (* (cbrt (sqrt (+ (* (* (* v v) 3) (* (* v v) 3)) (+ 1 (* (* v v) 3))))) (cbrt (sqrt (+ (* (* (* v v) 3) (* (* v v) 3)) (+ 1 (* (* v v) 3)))))) (sqrt (* (/ (- t (* (* v v) t)) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))))) * * * * [misc]progress: [ 688 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * * [misc]simplify: iters left: 3 (465 enodes) * [exit]simplify: Simplified to (* (* (cbrt (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (cbrt (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) t) (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (* (cbrt (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (cbrt (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) t) (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * * [misc]simplify: iters left: 3 (402 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))))) (cbrt (sqrt (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3)))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (* (cbrt (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))))) (cbrt (sqrt (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3)))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3))))))))) * * * * [misc]progress: [ 689 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (411 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (* (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))))) (sqrt (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (* (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))))) (sqrt (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * * [misc]simplify: iters left: 3 (402 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))))) (cbrt (sqrt (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3)))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (* (sqrt (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))))) (cbrt (sqrt (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3)))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3))))))))) * * * * [misc]progress: [ 690 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (170 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (+ (* (* (- v) (* (* 3 v) 2)) (* (* v (* 3 v)) (* v (* 3 v)))) 2)))) (cbrt (sqrt (+ (* (* (- v) (* (* 3 v) 2)) (* (* v (* 3 v)) (* v (* 3 v)))) 2)))) (* (cbrt (* (cbrt (sqrt (* 2 (- 1 (* v (* 3 v)))))) (cbrt (sqrt (* 2 (- 1 (* v (* 3 v)))))))) (/ t (* (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (+ (* (* (- v) (* (* 3 v) 2)) (* (* v (* 3 v)) (* v (* 3 v)))) 2)))) (cbrt (sqrt (+ (* (* (- v) (* (* 3 v) 2)) (* (* v (* 3 v)) (* v (* 3 v)))) 2)))) (* (cbrt (* (cbrt (sqrt (* 2 (- 1 (* v (* 3 v)))))) (cbrt (sqrt (* 2 (- 1 (* v (* 3 v)))))))) (/ t (* (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * * [misc]simplify: iters left: 3 (451 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))))) (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (/ (- 1 (* v v)) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (* (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))))) (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (/ (- 1 (* v v)) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))))))) * * * * [misc]progress: [ 691 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (154 enodes) * * [misc]simplify: iters left: 3 (496 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (* (cbrt (sqrt 2)) t)) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))) (/ (* (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (* (cbrt (sqrt 2)) t)) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))) (/ (* (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (406 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (/ (- 1 (* v v)) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))) (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (cbrt (sqrt (- 1 (* 3 (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt 2))))) (* (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (/ (- 1 (* v v)) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))) (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (cbrt (sqrt (- 1 (* 3 (* v v))))))))) * * * * [misc]progress: [ 692 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) t) (* (cbrt (sqrt (+ (* (* (* 2 (* 3 v)) (- v)) (* (* v (* 3 v)) (* v (* 3 v)))) 2))) (cbrt (sqrt (+ (* (* (* 2 (* 3 v)) (- v)) (* (* v (* 3 v)) (* v (* 3 v)))) 2))))) (/ (/ (cbrt (sqrt (sqrt (* 2 (- 1 (* v (* 3 v))))))) (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) t) (* (cbrt (sqrt (+ (* (* (* 2 (* 3 v)) (- v)) (* (* v (* 3 v)) (* v (* 3 v)))) 2))) (cbrt (sqrt (+ (* (* (* 2 (* 3 v)) (- v)) (* (* v (* 3 v)) (* v (* 3 v)))) 2))))) (/ (/ (cbrt (sqrt (sqrt (* 2 (- 1 (* v (* 3 v))))))) (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * * [misc]simplify: iters left: 3 (451 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (cbrt (sqrt (sqrt (- 2 (* (* v 3) (* v 2))))))) (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (/ (- 1 (* v v)) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (* (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (cbrt (sqrt (sqrt (- 2 (* (* v 3) (* v 2))))))) (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (/ (- 1 (* v v)) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))))))) * * * * [misc]progress: [ 693 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (153 enodes) * * [misc]simplify: iters left: 3 (484 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (* t (cbrt 1))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))) (/ (* (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (* t (cbrt 1))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))) (/ (* (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * * [misc]simplify: iters left: 3 (453 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))) (* (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (cbrt (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt 1)))) (* (/ (cbrt (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))) (* (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (cbrt (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))))))))) * * * * [misc]progress: [ 694 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* v (* 3 v)))))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* v (* 3 v))))))))) (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) t) (* (cbrt (sqrt (+ (* (* (* (* 3 v) (- v)) (* v (* 3 v))) (* (* v (* 3 v)) 2)) 2))) (cbrt (sqrt (+ (* (* (* (* 3 v) (- v)) (* v (* 3 v))) (* (* v (* 3 v)) 2)) 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (* (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* v (* 3 v)))))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* v (* 3 v))))))))) (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) t) (* (cbrt (sqrt (+ (* (* (* (* 3 v) (- v)) (* v (* 3 v))) (* (* v (* 3 v)) 2)) 2))) (cbrt (sqrt (+ (* (* (* (* 3 v) (- v)) (* v (* 3 v))) (* (* v (* 3 v)) 2)) 2)))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * * [misc]simplify: iters left: 3 (451 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))))) (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (/ (- 1 (* v v)) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (* (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))))) (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (/ (- 1 (* v v)) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))))))) * * * * [misc]progress: [ 695 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) t) (* (cbrt (sqrt (+ (* (* (* 2 (* 3 v)) (- v)) (* (* v (* 3 v)) (* v (* 3 v)))) 2))) (cbrt (sqrt (+ (* (* (* 2 (* 3 v)) (- v)) (* (* v (* 3 v)) (* v (* 3 v)))) 2))))) (/ (/ (sqrt (cbrt (sqrt (* 2 (- 1 (* v (* 3 v))))))) (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) t) (* (cbrt (sqrt (+ (* (* (* 2 (* 3 v)) (- v)) (* (* v (* 3 v)) (* v (* 3 v)))) 2))) (cbrt (sqrt (+ (* (* (* 2 (* 3 v)) (- v)) (* (* v (* 3 v)) (* v (* 3 v)))) 2))))) (/ (/ (sqrt (cbrt (sqrt (* 2 (- 1 (* v (* 3 v))))))) (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * * [misc]simplify: iters left: 3 (451 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (sqrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))))) (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (/ (- 1 (* v v)) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (* (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (sqrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))))) (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (/ (- 1 (* v v)) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))))))) * * * * [misc]progress: [ 696 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) 1))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (154 enodes) * * [misc]simplify: iters left: 3 (449 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) t)) (* (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (* (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) t)) (* (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * * [misc]simplify: iters left: 3 (453 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))) (* (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (cbrt (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) 1))) (* (/ (cbrt (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))) (* (/ (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (cbrt (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))))))))) * * * * [misc]progress: [ 697 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (488 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) t))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (fabs (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) t))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * * [misc]simplify: iters left: 3 (451 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))))) (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (* (/ (fabs (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) t))) (* (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))))) (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))))))) * * * * [misc]progress: [ 698 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (448 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))) (* (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))) (/ (* t (cbrt (sqrt 2))) (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))) (* (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))) (/ (* t (cbrt (sqrt 2))) (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (406 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))) (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (cbrt (sqrt (- 1 (* 3 (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))) (* (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))) (/ (* t (cbrt (sqrt 2))) (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))))) (* (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))) (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (cbrt (sqrt (- 1 (* 3 (* v v))))))))) * * * * [misc]progress: [ 699 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (163 enodes) * * [misc]simplify: iters left: 3 (489 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) t) (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) t) (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * * [misc]simplify: iters left: 3 (451 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (cbrt (sqrt (sqrt (- 2 (* (* v 3) (* v 2))))))) (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) t) (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))))) (* (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (cbrt (sqrt (sqrt (- 2 (* (* v 3) (* v 2))))))) (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))))))) * * * * [misc]progress: [ 700 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * * [misc]simplify: iters left: 3 (439 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))) (* (/ (* (cbrt 1) t) (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))) (* (/ (* (cbrt 1) t) (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * * [misc]simplify: iters left: 3 (453 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))) (* (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (cbrt (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))) (* (/ (* (cbrt 1) t) (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))))) (* (/ (cbrt (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))) (* (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (cbrt (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))))))))) * * * * [misc]progress: [ 701 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (170 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (+ (* (* (* v (* 3 v)) (* (* 3 v) (- v))) (* (* v (* 3 v)) 2)) 2)))) (* (* (cbrt (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2)))) (cbrt (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2))))) (* (/ t (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (sqrt (+ (* (* (* v (* 3 v)) (* (* 3 v) (- v))) (* (* v (* 3 v)) 2)) 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (+ (* (* (* v (* 3 v)) (* (* 3 v) (- v))) (* (* v (* 3 v)) 2)) 2)))) (* (* (cbrt (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2)))) (cbrt (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2))))) (* (/ t (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (sqrt (+ (* (* (* v (* 3 v)) (* (* 3 v) (- v))) (* (* v (* 3 v)) 2)) 2)))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * * [misc]simplify: iters left: 3 (451 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))))) (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (* (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))))) (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))))))) * * * * [misc]progress: [ 702 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (163 enodes) * * [misc]simplify: iters left: 3 (489 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) t) (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) t) (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * * [misc]simplify: iters left: 3 (451 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (sqrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))))) (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) t) (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))))) (* (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (sqrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))))) (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))))))) * * * * [misc]progress: [ 703 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) 1))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (395 enodes) * [exit]simplify: Simplified to (/ (/ (* (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) t)) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * * [misc]simplify: iters left: 3 (453 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))) (* (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (cbrt (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) t)) (* (/ (cbrt (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))) (* (/ (sqrt (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (cbrt (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))))))))) * * * * [misc]progress: [ 704 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * * [misc]simplify: iters left: 3 (490 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) (/ (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) t) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) (/ (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) t) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * * [misc]simplify: iters left: 3 (451 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))))) (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (* (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))))) (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))))))) * * * * [misc]progress: [ 705 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (145 enodes) * * [misc]simplify: iters left: 3 (426 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))) (* (/ (* t (cbrt (sqrt 2))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))) (* (/ (* t (cbrt (sqrt 2))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (406 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))) (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (cbrt (sqrt (- 1 (* 3 (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt 2))))) (* (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))) (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (cbrt (sqrt (- 1 (* 3 (* v v))))))))) * * * * [misc]progress: [ 706 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (160 enodes) * * [misc]simplify: iters left: 3 (490 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) t) (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) t) (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * * [misc]simplify: iters left: 3 (451 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (cbrt (sqrt (sqrt (- 2 (* (* v 3) (* v 2))))))) (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (* (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (cbrt (sqrt (sqrt (- 2 (* (* v 3) (* v 2))))))) (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))))))) * * * * [misc]progress: [ 707 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (436 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (* (cbrt 1) t)) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (* (cbrt 1) t)) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * * [misc]simplify: iters left: 3 (453 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))) (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (cbrt (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt 1)))) (* (/ (cbrt (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))) (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (cbrt (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))))))))) * * * * [misc]progress: [ 708 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (+ (* (* (* (* 3 v) (- v)) (* v (* 3 v))) (* (* v (* 3 v)) 2)) 2)))) (* (/ t (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (cbrt (sqrt (+ (* (* (* (* 3 v) (- v)) (* v (* 3 v))) (* (* v (* 3 v)) 2)) 2))))) (* (cbrt (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2)))) (cbrt (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (+ (* (* (* (* 3 v) (- v)) (* v (* 3 v))) (* (* v (* 3 v)) 2)) 2)))) (* (/ t (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (cbrt (sqrt (+ (* (* (* (* 3 v) (- v)) (* v (* 3 v))) (* (* v (* 3 v)) 2)) 2))))) (* (cbrt (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2)))) (cbrt (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2)))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * * [misc]simplify: iters left: 3 (451 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))))) (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (* (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))))) (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))))))) * * * * [misc]progress: [ 709 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (160 enodes) * * [misc]simplify: iters left: 3 (490 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) t) (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) t) (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * * [misc]simplify: iters left: 3 (451 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (sqrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))))) (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (* (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (sqrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))))) (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))))))) * * * * [misc]progress: [ 710 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) 1))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (409 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) t) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) t) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * * [misc]simplify: iters left: 3 (453 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))) (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (cbrt (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) 1))) (* (/ (cbrt (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))) (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (cbrt (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))))))))) * * * * [misc]progress: [ 711 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt 1) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * * [misc]simplify: iters left: 3 (490 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 1) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) (/ (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) t) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt 1) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) (/ (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) t) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * * [misc]simplify: iters left: 3 (452 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (/ (cbrt (sqrt (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt 1) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (* (/ (cbrt (sqrt (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (/ (cbrt (sqrt (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))))) * * * * [misc]progress: [ 712 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt 1) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (145 enodes) * * [misc]simplify: iters left: 3 (426 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (/ (sqrt 1) (cbrt (sqrt 2)))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))) (* (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (/ (sqrt 1) (cbrt (sqrt 2)))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))) (* (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))) t)) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * * [misc]simplify: iters left: 3 (405 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (* (* (* v v) 3) (* (* v v) 3)) (+ 1 (* (* v v) 3))))) (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 1 (* (* v v) 3)))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (* (* (* v v) 3) (* (* v v) 3)) (+ 1 (* (* v v) 3))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt 1) (cbrt (sqrt 2))))) (/ (* (cbrt (sqrt (+ (* (* (* v v) 3) (* (* v v) 3)) (+ 1 (* (* v v) 3))))) (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 1 (* (* v v) 3)))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (* (* (* v v) 3) (* (* v v) 3)) (+ 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 713 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt 1) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (160 enodes) * * [misc]simplify: iters left: 3 (490 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (/ t (sqrt 1))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (/ t (sqrt 1))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * * [misc]simplify: iters left: 3 (452 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (/ (cbrt (sqrt (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt 1) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (* (/ (cbrt (sqrt (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (/ (cbrt (sqrt (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2)))))))))) * * * * [misc]progress: [ 714 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt 1) (cbrt 1)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (436 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (* (cbrt 1) t)) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))) (/ (sqrt 1) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (* (cbrt 1) t)) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))) (/ (sqrt 1) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * * [misc]simplify: iters left: 3 (452 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (- 1 (* v v))))) (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt 1) (cbrt 1)))) (* (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (- 1 (* v v))))) (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))))))) * * * * [misc]progress: [ 715 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt 1) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (+ (* (* (* (* 3 v) (- v)) (* v (* 3 v))) (* (* v (* 3 v)) 2)) 2)))) (* (/ t (sqrt 1)) (cbrt (sqrt (+ (* (* (* (* 3 v) (- v)) (* v (* 3 v))) (* (* v (* 3 v)) 2)) 2))))) (* (cbrt (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2)))) (cbrt (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (+ (* (* (* (* 3 v) (- v)) (* v (* 3 v))) (* (* v (* 3 v)) 2)) 2)))) (* (/ t (sqrt 1)) (cbrt (sqrt (+ (* (* (* (* 3 v) (- v)) (* v (* 3 v))) (* (* v (* 3 v)) 2)) 2))))) (* (cbrt (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2)))) (cbrt (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2)))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * * [misc]simplify: iters left: 3 (452 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (/ (cbrt (sqrt (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt 1) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (* (/ (cbrt (sqrt (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (/ (cbrt (sqrt (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))))) * * * * [misc]progress: [ 716 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt 1) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (160 enodes) * * [misc]simplify: iters left: 3 (490 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (/ t (sqrt 1))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (/ t (sqrt 1))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * * [misc]simplify: iters left: 3 (452 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (/ (cbrt (sqrt (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt 1) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (* (/ (cbrt (sqrt (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (/ (cbrt (sqrt (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))))) * * * * [misc]progress: [ 717 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt 1) 1))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (409 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) t) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))) (/ (sqrt 1) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) t) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))) (/ (sqrt 1) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * * [misc]simplify: iters left: 3 (452 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (- 1 (* v v))))) (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt 1) 1))) (* (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (- 1 (* v v))))) (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))))))) * * * * [misc]progress: [ 718 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * * [misc]simplify: iters left: 3 (490 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 (* (* 5 v) v))) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) (/ (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) t) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- 1 (* (* 5 v) v))) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) (/ (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) t) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (404 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (/ (- 1 (* v v)) (sqrt (/ 1 PI))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (* (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (/ (- 1 (* v v)) (sqrt (/ 1 PI))))))) * * * * [misc]progress: [ 719 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (145 enodes) * * [misc]simplify: iters left: 3 (426 enodes) * [exit]simplify: Simplified to (/ (/ (/ (* (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (sqrt (- 1 (* (* v v) 5)))) (cbrt (sqrt 2))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))) (* (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (* (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (sqrt (- 1 (* (* v v) 5)))) (cbrt (sqrt 2))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))) (* (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))) t)) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (163 enodes) * * [misc]simplify: iters left: 3 (363 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (* (cbrt (sqrt (- 1 (* (* v 3) v)))) (/ (- 1 (* v v)) (sqrt (/ 1 PI)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt 2))))) (* (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (* (cbrt (sqrt (- 1 (* (* v 3) v)))) (/ (- 1 (* v v)) (sqrt (/ 1 PI)))))))) * * * * [misc]progress: [ 720 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (160 enodes) * * [misc]simplify: iters left: 3 (490 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (/ t (sqrt (- 1 (* (* v v) 5))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (/ t (sqrt (- 1 (* (* v v) 5))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (404 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (/ (- 1 (* v v)) (sqrt (/ 1 PI))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (* (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (/ (- 1 (* v v)) (sqrt (/ 1 PI))))))) * * * * [misc]progress: [ 721 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (436 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (* (cbrt 1) t)) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))) (/ (sqrt (- 1 (* (* 5 v) v))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (* (cbrt 1) t)) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))) (/ (sqrt (- 1 (* (* 5 v) v))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (172 enodes) * * [misc]simplify: iters left: 3 (382 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (* (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))) (/ (- 1 (* v v)) (sqrt (/ 1 PI)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt 1)))) (* (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (* (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))) (/ (- 1 (* v v)) (sqrt (/ 1 PI)))))))) * * * * [misc]progress: [ 722 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (+ (* (* (* (* 3 v) (- v)) (* v (* 3 v))) (* (* v (* 3 v)) 2)) 2)))) (* (/ t (sqrt (- 1 (* (* 5 v) v)))) (cbrt (sqrt (+ (* (* (* (* 3 v) (- v)) (* v (* 3 v))) (* (* v (* 3 v)) 2)) 2))))) (* (cbrt (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2)))) (cbrt (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (+ (* (* (* (* 3 v) (- v)) (* v (* 3 v))) (* (* v (* 3 v)) 2)) 2)))) (* (/ t (sqrt (- 1 (* (* 5 v) v)))) (cbrt (sqrt (+ (* (* (* (* 3 v) (- v)) (* v (* 3 v))) (* (* v (* 3 v)) 2)) 2))))) (* (cbrt (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2)))) (cbrt (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2)))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (404 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (/ (- 1 (* v v)) (sqrt (/ 1 PI))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (* (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (/ (- 1 (* v v)) (sqrt (/ 1 PI))))))) * * * * [misc]progress: [ 723 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (160 enodes) * * [misc]simplify: iters left: 3 (490 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (/ t (sqrt (- 1 (* (* v v) 5))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (/ t (sqrt (- 1 (* (* v v) 5))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (404 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (/ (- 1 (* v v)) (sqrt (/ 1 PI))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (* (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (/ (- 1 (* v v)) (sqrt (/ 1 PI))))))) * * * * [misc]progress: [ 724 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) 1))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (409 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) t) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))) (/ (sqrt (- 1 (* (* 5 v) v))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) t) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))) (/ (sqrt (- 1 (* (* 5 v) v))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (172 enodes) * * [misc]simplify: iters left: 3 (382 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (* (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))) (/ (- 1 (* v v)) (sqrt (/ 1 PI)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) 1))) (* (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (* (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))) (/ (- 1 (* v v)) (sqrt (/ 1 PI)))))))) * * * * [misc]progress: [ 725 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * * [misc]simplify: iters left: 3 (490 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) (/ (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) t) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) (/ (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) t) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * * [misc]simplify: iters left: 3 (451 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))))) (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (* (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))))) (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))))))) * * * * [misc]progress: [ 726 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (145 enodes) * * [misc]simplify: iters left: 3 (426 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))) (* (/ (* t (cbrt (sqrt 2))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))) (* (/ (* t (cbrt (sqrt 2))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (406 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))) (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (cbrt (sqrt (- 1 (* 3 (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt 2))))) (* (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))) (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (cbrt (sqrt (- 1 (* 3 (* v v))))))))) * * * * [misc]progress: [ 727 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (160 enodes) * * [misc]simplify: iters left: 3 (490 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) t) (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) t) (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * * [misc]simplify: iters left: 3 (451 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (cbrt (sqrt (sqrt (- 2 (* (* v 3) (* v 2))))))) (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (* (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (cbrt (sqrt (sqrt (- 2 (* (* v 3) (* v 2))))))) (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))))))) * * * * [misc]progress: [ 728 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (436 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (* (cbrt 1) t)) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (* (cbrt 1) t)) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * * [misc]simplify: iters left: 3 (453 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))) (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (cbrt (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt 1)))) (* (/ (cbrt (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))) (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (cbrt (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))))))))) * * * * [misc]progress: [ 729 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (+ (* (* (* (* 3 v) (- v)) (* v (* 3 v))) (* (* v (* 3 v)) 2)) 2)))) (* (/ t (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (cbrt (sqrt (+ (* (* (* (* 3 v) (- v)) (* v (* 3 v))) (* (* v (* 3 v)) 2)) 2))))) (* (cbrt (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2)))) (cbrt (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (+ (* (* (* (* 3 v) (- v)) (* v (* 3 v))) (* (* v (* 3 v)) 2)) 2)))) (* (/ t (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (cbrt (sqrt (+ (* (* (* (* 3 v) (- v)) (* v (* 3 v))) (* (* v (* 3 v)) 2)) 2))))) (* (cbrt (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2)))) (cbrt (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2)))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * * [misc]simplify: iters left: 3 (451 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))))) (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (* (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))))) (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))))))) * * * * [misc]progress: [ 730 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (160 enodes) * * [misc]simplify: iters left: 3 (490 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) t) (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) t) (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * * [misc]simplify: iters left: 3 (451 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (sqrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))))) (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (* (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (sqrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))))) (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))))))) * * * * [misc]progress: [ 731 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) 1))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (409 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) t) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) t) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * * [misc]simplify: iters left: 3 (453 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))) (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (cbrt (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) 1))) (* (/ (cbrt (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))) (* (/ (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (cbrt (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))))))))) * * * * [misc]progress: [ 732 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ 1 (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * * [misc]simplify: iters left: 3 (475 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (* (cbrt (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (* (cbrt (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) t)) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * * [misc]simplify: iters left: 3 (452 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (/ (cbrt (sqrt (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ 1 (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (* (/ (cbrt (sqrt (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (/ (cbrt (sqrt (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))))) * * * * [misc]progress: [ 733 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ 1 (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * * [misc]simplify: iters left: 3 (421 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (* (cbrt (sqrt 2)) t)) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (* (cbrt (sqrt 2)) t)) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * * [misc]simplify: iters left: 3 (405 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (* (* (* v v) 3) (* (* v v) 3)) (+ 1 (* (* v v) 3))))) (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 1 (* (* v v) 3)))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (* (* (* v v) 3) (* (* v v) 3)) (+ 1 (* (* v v) 3))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ 1 (cbrt (sqrt 2))))) (/ (* (cbrt (sqrt (+ (* (* (* v v) 3) (* (* v v) 3)) (+ 1 (* (* v v) 3))))) (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 1 (* (* v v) 3)))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (* (* (* v v) 3) (* (* v v) 3)) (+ 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 734 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ 1 (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (158 enodes) * * [misc]simplify: iters left: 3 (474 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) t) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) t) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * * [misc]simplify: iters left: 3 (452 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (/ (cbrt (sqrt (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ 1 (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (* (/ (cbrt (sqrt (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (/ (cbrt (sqrt (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2)))))))))) * * * * [misc]progress: [ 735 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ 1 (cbrt 1)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * * [misc]simplify: iters left: 3 (419 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (* t (cbrt 1))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (* t (cbrt 1))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * * [misc]simplify: iters left: 3 (452 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (- 1 (* v v))))) (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ 1 (cbrt 1)))) (* (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (- 1 (* v v))))) (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))))))) * * * * [misc]progress: [ 736 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ 1 (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * * [misc]simplify: iters left: 3 (492 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (* (* (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) t))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (* (* (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) t))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * * [misc]simplify: iters left: 3 (452 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (/ (cbrt (sqrt (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ 1 (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (* (/ (cbrt (sqrt (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (/ (cbrt (sqrt (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3))))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))))) * * * * [misc]progress: [ 737 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ 1 (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (158 enodes) * * [misc]simplify: iters left: 3 (474 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) t) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) t) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * * [misc]simplify: iters left: 3 (452 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (/ (cbrt (sqrt (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ 1 (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (* (/ (cbrt (sqrt (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (/ (cbrt (sqrt (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))))) * * * * [misc]progress: [ 738 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ 1 1))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (349 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) t) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) t) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * * [misc]simplify: iters left: 3 (452 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (- 1 (* v v))))) (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ 1 1))) (* (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (- 1 (* v v))))) (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))))))) * * * * [misc]progress: [ 739 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t 1)) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (343 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * * [misc]simplify: iters left: 3 (452 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (- 1 (* v v))))) (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t 1)) (* (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (- 1 (* v v))))) (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))))))) * * * * [misc]progress: [ 740 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (sqrt (/ (- 1 (* (* v v) 5)) PI)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (375 enodes) * [exit]simplify: Simplified to (/ (/ (/ (- (/ 1 PI) (* (/ 5 PI) (* v v))) t) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (- (/ 1 PI) (* (/ 5 PI) (* v v))) t) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * * [misc]simplify: iters left: 3 (412 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (cbrt (sqrt (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (- (/ 1 PI) (* (/ 5 PI) (* v v))) t) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (* (/ (cbrt (sqrt (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (cbrt (sqrt (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 741 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (428 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t)) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (409 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3)))) (- 1 (* v v))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (* (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t)) (/ (sqrt (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3)))) (- 1 (* v v))))) * * * * [misc]progress: [ 742 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (/ t (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (cbrt (sqrt (* 2 (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) (* (cbrt (sqrt (+ (* (* (* v (* 3 v)) (* v (* 3 v))) (* (* (* 3 v) (- v)) 2)) 2))) (cbrt (sqrt (+ (* (* (* v (* 3 v)) (* v (* 3 v))) (* (* (* 3 v) (- v)) 2)) 2))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (/ t (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (cbrt (sqrt (* 2 (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) (* (cbrt (sqrt (+ (* (* (* v (* 3 v)) (* v (* 3 v))) (* (* (* 3 v) (- v)) 2)) 2))) (cbrt (sqrt (+ (* (* (* v (* 3 v)) (* v (* 3 v))) (* (* (* 3 v) (- v)) 2)) 2))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* v 3) v)))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* v 3) v)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (255 enodes) * * [misc]simplify: iters left: 2 (424 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))) (* (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))))) (cbrt (sqrt (+ 1 (* 3 (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v))))))))) (* (/ (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))) (* (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))))) (cbrt (sqrt (+ 1 (* 3 (* v v))))))))) * * * * [misc]progress: [ 743 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) 1) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (334 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (* (* (* v v) 3) (* (* v v) 3)) (+ 1 (* (* v v) 3))))) (cbrt (sqrt (+ (* (* (* v v) 3) (* (* v v) 3)) (+ 1 (* (* v v) 3)))))) (* (/ (* t (- 1 (* v v))) (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (* (- 1 (* (* v v) 3)) 2))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) 1) (/ (* (cbrt (sqrt (+ (* (* (* v v) 3) (* (* v v) 3)) (+ 1 (* (* v v) 3))))) (cbrt (sqrt (+ (* (* (* v v) 3) (* (* v v) 3)) (+ 1 (* (* v v) 3)))))) (* (/ (* t (- 1 (* v v))) (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (* (- 1 (* (* v v) 3)) 2))))))) * * * * [misc]progress: [ 744 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (* t (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * * [misc]simplify: iters left: 3 (395 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- t (* (* t v) v))) (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (- t (* (* t v) v))) (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ 1 (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ 1 (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * * [misc]simplify: iters left: 3 (422 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (* (cbrt (sqrt (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3))))) (cbrt (sqrt (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (* t (- 1 (* v v)))) (* (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (* (cbrt (sqrt (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3))))) (cbrt (sqrt (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3))))))))) * * * * [misc]progress: [ 745 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ (* t (- 1 (* v v))) (sqrt (/ (- 1 (* (* v v) 5)) PI)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (154 enodes) * * [misc]simplify: iters left: 3 (474 enodes) * [exit]simplify: Simplified to (/ (/ (/ (- (/ 1 PI) (* (* v v) (/ 5 PI))) (- t (* (* t v) v))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (- (/ 1 PI) (* (* v v) (/ 5 PI))) (- t (* (* t v) v))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (252 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (- (/ 1 PI) (* (* v v) (/ 5 PI))) (- t (* (* t v) v))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))) (/ (* (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) * * * * [misc]progress: [ 746 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (* (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (* (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))) (cbrt (sqrt (+ (* (* 2 (* v (* 3 v))) (* (* (- v) (* 3 v)) (* v (* 3 v)))) 2))))) (* (cbrt (* (cbrt (sqrt (* 2 (- 1 (* v (* 3 v)))))) (/ (* t (- 1 (* v v))) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* v (* 3 v)))))) (/ (* t (- 1 (* v v))) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (* (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))) (cbrt (sqrt (+ (* (* 2 (* v (* 3 v))) (* (* (- v) (* 3 v)) (* v (* 3 v)))) 2))))) (* (cbrt (* (cbrt (sqrt (* 2 (- 1 (* v (* 3 v)))))) (/ (* t (- 1 (* v v))) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* v (* 3 v)))))) (/ (* t (- 1 (* v v))) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * * [misc]simplify: iters left: 3 (418 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 (* 3 (* v v))))) (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))))) (cbrt (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (/ (sqrt (- (/ 1 PI) (* (* v 5) (/ v PI)))) (- t (* (* v v) t)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (* (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (* (cbrt (sqrt (+ 1 (* 3 (* v v))))) (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))))) (cbrt (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (/ (sqrt (- (/ 1 PI) (* (* v 5) (/ v PI)))) (- t (* (* v v) t)))))))) * * * * [misc]progress: [ 747 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (sqrt (* (cbrt (sqrt (* 2 (- 1 (* v (* 3 v)))))) (/ (* t (- 1 (* v v))) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))))) (* (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))) (cbrt (sqrt (+ 2 (* (* 2 (* v (* 3 v))) (* (* v (* 3 v)) (* (* 3 v) (- v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (sqrt (* (cbrt (sqrt (* 2 (- 1 (* v (* 3 v)))))) (/ (* t (- 1 (* v v))) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))))) (* (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))) (cbrt (sqrt (+ 2 (* (* 2 (* v (* 3 v))) (* (* v (* 3 v)) (* (* 3 v) (- v))))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * * [misc]simplify: iters left: 3 (418 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 (* 3 (* v v))))) (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (/ (sqrt (- (/ 1 PI) (* (* v 5) (/ v PI)))) (- t (* (* v v) t)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (* (cbrt (sqrt (+ 1 (* 3 (* v v))))) (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (/ (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (/ (sqrt (- (/ 1 PI) (* (* v 5) (/ v PI)))) (- t (* (* v v) t)))))))) * * * * [misc]progress: [ 748 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (+ (* (* (* 3 v) (* (- v) 2)) (* (* v (* 3 v)) (* v (* 3 v)))) 2)))) (* (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))) t)) (* (cbrt (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2))))) (cbrt (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (+ (* (* (* 3 v) (* (- v) 2)) (* (* v (* 3 v)) (* v (* 3 v)))) 2)))) (* (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))) t)) (* (cbrt (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2))))) (cbrt (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * * [misc]simplify: iters left: 3 (403 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3))))))) (* (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (- 1 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (* (cbrt (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3))))))) (* (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (- 1 (* v v))))))) * * * * [misc]progress: [ 749 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (* (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))) (cbrt (sqrt (+ (* (* (* (- v) (* 3 v)) (* v (* 3 v))) (* (* v (* 3 v)) 2)) 2))))) (/ t (sqrt (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (* (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))) (cbrt (sqrt (+ (* (* (* (- v) (* 3 v)) (* v (* 3 v))) (* (* v (* 3 v)) 2)) 2))))) (/ t (sqrt (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * * [misc]simplify: iters left: 3 (403 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3))))))) (* (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (- 1 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (* (sqrt (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3))))))) (* (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (- 1 (* v v))))))) * * * * [misc]progress: [ 750 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * [exit]simplify: Simplified to (* (/ (* (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* v (* 3 v)))))) (cbrt (sqrt (* 2 (- 1 (* v (* 3 v))))))))) (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (+ (* (* (* (- v) (* 3 v)) (* v (* 3 v))) (* (* v (* 3 v)) 2)) 2)))) (* (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))) t))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (* (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* v (* 3 v)))))) (cbrt (sqrt (* 2 (- 1 (* v (* 3 v))))))))) (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (+ (* (* (* (- v) (* 3 v)) (* v (* 3 v))) (* (* v (* 3 v)) 2)) 2)))) (* (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))) t))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * * [misc]simplify: iters left: 3 (480 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (+ 1 (* 3 (* v v))))) (- 1 (* v v))) (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))))) (/ (cbrt (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (* (/ (cbrt (sqrt (+ 1 (* 3 (* v v))))) (- 1 (* v v))) (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))))) (/ (cbrt (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5))))))))) * * * * [misc]progress: [ 751 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (+ (* (* 2 (* v (* 3 v))) (* (* v (* 3 v)) (* (* 3 v) (- v)))) 2)))) (* (/ (/ (* (cbrt (sqrt 2)) t) (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (+ (* (* 2 (* v (* 3 v))) (* (* v (* 3 v)) (* (* 3 v) (- v)))) 2)))) (* (/ (/ (* (cbrt (sqrt 2)) t) (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * * [misc]simplify: iters left: 3 (452 enodes) * [exit]simplify: Simplified to (* (/ (* (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (+ 1 (* 3 (* v v)))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (/ (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt 2))))) (* (/ (* (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (+ 1 (* 3 (* v v)))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (/ (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 752 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (* (* (cbrt (sqrt (sqrt (* 2 (- 1 (* v (* 3 v))))))) (/ t (* (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))))) (* (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))) (cbrt (sqrt (+ (* (* 2 (* v (* 3 v))) (* (* (- v) (* 3 v)) (* v (* 3 v)))) 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (* (* (cbrt (sqrt (sqrt (* 2 (- 1 (* v (* 3 v))))))) (/ t (* (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))))) (* (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))) (cbrt (sqrt (+ (* (* 2 (* v (* 3 v))) (* (* (- v) (* 3 v)) (* v (* 3 v)))) 2)))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * * [misc]simplify: iters left: 3 (480 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (+ 1 (* 3 (* v v))))) (- 1 (* v v))) (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))))) (/ (cbrt (sqrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (* (/ (cbrt (sqrt (+ 1 (* 3 (* v v))))) (- 1 (* v v))) (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))))) (/ (cbrt (sqrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5))))))))) * * * * [misc]progress: [ 753 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (* (cbrt 1) t)) (* (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2)))) (cbrt (sqrt (+ (* (* (* v (* 3 v)) (* v (* 3 v))) (* (* (* v v) (- 3)) 2)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (* (cbrt 1) t)) (* (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2)))) (cbrt (sqrt (+ (* (* (* v (* 3 v)) (* v (* 3 v))) (* (* (* v v) (- 3)) 2)) 2)))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * * [misc]simplify: iters left: 3 (484 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (* (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (+ 1 (* (* v 3) v)))))) (* (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt 1)))) (/ (* (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (* (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (+ 1 (* (* v 3) v)))))) (* (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 754 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (+ 2 (* (* (* v (* 3 v)) (* v (* 3 v))) (* (* 3 v) (* (- v) 2))))))) (* (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))) t)) (* (/ (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* v (* 3 v)))))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* v (* 3 v)))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (+ 2 (* (* (* v (* 3 v)) (* v (* 3 v))) (* (* 3 v) (* (- v) 2))))))) (* (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))) t)) (* (/ (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* v (* 3 v)))))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* v (* 3 v)))))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * * [misc]simplify: iters left: 3 (480 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (+ 1 (* 3 (* v v))))) (- 1 (* v v))) (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))))) (/ (cbrt (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (* (/ (cbrt (sqrt (+ 1 (* 3 (* v v))))) (- 1 (* v v))) (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))))) (/ (cbrt (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5))))))))) * * * * [misc]progress: [ 755 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (* (* (sqrt (cbrt (sqrt (* 2 (- 1 (* v (* 3 v))))))) (/ t (* (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))))) (* (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))) (cbrt (sqrt (+ (* (* 2 (* v (* 3 v))) (* (* (- v) (* 3 v)) (* v (* 3 v)))) 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (* (* (sqrt (cbrt (sqrt (* 2 (- 1 (* v (* 3 v))))))) (/ t (* (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))))) (* (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))) (cbrt (sqrt (+ (* (* 2 (* v (* 3 v))) (* (* (- v) (* 3 v)) (* v (* 3 v)))) 2)))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * * [misc]simplify: iters left: 3 (480 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (+ 1 (* 3 (* v v))))) (- 1 (* v v))) (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))))) (/ (sqrt (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (* (/ (cbrt (sqrt (+ 1 (* 3 (* v v))))) (- 1 (* v v))) (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))))) (/ (sqrt (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5))))))))) * * * * [misc]progress: [ 756 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) 1))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) t) (* (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))))) (cbrt (sqrt (+ 2 (* (* 2 (* (* 3 v) (- v))) (* (* v (* 3 v)) (* v (* 3 v)))))))) (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) t) (* (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))))) (cbrt (sqrt (+ 2 (* (* 2 (* (* 3 v) (- v))) (* (* v (* 3 v)) (* v (* 3 v)))))))) (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2)))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * * [misc]simplify: iters left: 3 (484 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (* (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (+ 1 (* (* v 3) v)))))) (* (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) 1))) (/ (* (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (* (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (+ 1 (* (* v 3) v)))))) (* (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 757 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (+ 2 (* (* (* 2 (- v)) (* 3 v)) (* (* v (* 3 v)) (* v (* 3 v)))))))) (* (/ t (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))))) (cbrt (* (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2))) (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (+ 2 (* (* (* 2 (- v)) (* 3 v)) (* (* v (* 3 v)) (* v (* 3 v)))))))) (* (/ t (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))))) (cbrt (* (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2))) (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2)))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * * [misc]simplify: iters left: 3 (480 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (+ 1 (* 3 (* v v))))) (- 1 (* v v))) (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))))) (/ (cbrt (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* v 5))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (* (/ (cbrt (sqrt (+ 1 (* 3 (* v v))))) (- 1 (* v v))) (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))))) (/ (cbrt (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* v 5))))))))) * * * * [misc]progress: [ 758 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (* t (cbrt (sqrt 2)))) (fabs (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2)))) (cbrt (sqrt (+ (* (* 2 (* (* 3 v) (- v))) (* (* v (* 3 v)) (* v (* 3 v)))) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (* t (cbrt (sqrt 2)))) (fabs (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2)))) (cbrt (sqrt (+ (* (* 2 (* (* 3 v) (- v))) (* (* v (* 3 v)) (* v (* 3 v)))) 2)))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * * [misc]simplify: iters left: 3 (452 enodes) * [exit]simplify: Simplified to (* (/ (* (sqrt (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (+ 1 (* 3 (* v v)))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (/ (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt 2))))) (* (/ (* (sqrt (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (+ 1 (* 3 (* v v)))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (/ (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 759 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (/ t (fabs (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))))) (cbrt (sqrt (sqrt (* (- 1 (* v (* 3 v))) 2))))) (* (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))) (cbrt (sqrt (+ 2 (* (* 2 (* v (* 3 v))) (* (* (- v) (* 3 v)) (* v (* 3 v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (/ t (fabs (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))))) (cbrt (sqrt (sqrt (* (- 1 (* v (* 3 v))) 2))))) (* (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))) (cbrt (sqrt (+ 2 (* (* 2 (* v (* 3 v))) (* (* (- v) (* 3 v)) (* v (* 3 v))))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * * [misc]simplify: iters left: 3 (480 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (+ 1 (* 3 (* v v))))) (- 1 (* v v))) (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))))) (/ (cbrt (sqrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* v 5))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (* (/ (cbrt (sqrt (+ 1 (* 3 (* v v))))) (- 1 (* v v))) (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))))) (/ (cbrt (sqrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* v 5))))))))) * * * * [misc]progress: [ 760 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (* (cbrt 1) t)) (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (sqrt (+ (* (* (* (- v) (* 3 v)) (* v (* 3 v))) (* (* v (* 3 v)) 2)) 2)))) (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (* (cbrt 1) t)) (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (sqrt (+ (* (* (* (- v) (* 3 v)) (* v (* 3 v))) (* (* v (* 3 v)) 2)) 2)))) (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2)))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * * [misc]simplify: iters left: 3 (484 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (* (sqrt (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (+ 1 (* (* v 3) v)))))) (* (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt 1)))) (/ (* (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (* (sqrt (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (+ 1 (* (* v 3) v)))))) (* (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 761 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (/ t (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) (* (cbrt (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2)))) (cbrt (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2)))))) (* (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))) (cbrt (sqrt (+ (* (* (* v (* 3 v)) (* v (* 3 v))) (* (* 2 (- v)) (* 3 v))) 2))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (/ t (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) (* (cbrt (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2)))) (cbrt (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2)))))) (* (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))) (cbrt (sqrt (+ (* (* (* v (* 3 v)) (* v (* 3 v))) (* (* 2 (- v)) (* 3 v))) 2))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * * [misc]simplify: iters left: 3 (480 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (+ 1 (* 3 (* v v))))) (- 1 (* v v))) (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))))) (/ (cbrt (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* v 5))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (* (/ (cbrt (sqrt (+ 1 (* 3 (* v v))))) (- 1 (* v v))) (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))))) (/ (cbrt (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* v 5))))))))) * * * * [misc]progress: [ 762 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (/ t (fabs (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))))) (sqrt (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2))))) (* (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))) (cbrt (sqrt (+ 2 (* (* 2 (* v (* 3 v))) (* (* (- v) (* 3 v)) (* v (* 3 v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (/ t (fabs (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))))) (sqrt (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2))))) (* (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))) (cbrt (sqrt (+ 2 (* (* 2 (* v (* 3 v))) (* (* (- v) (* 3 v)) (* v (* 3 v))))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * * [misc]simplify: iters left: 3 (480 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (+ 1 (* 3 (* v v))))) (- 1 (* v v))) (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))))) (/ (sqrt (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* v 5))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (* (/ (cbrt (sqrt (+ 1 (* 3 (* v v))))) (- 1 (* v v))) (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))))) (/ (sqrt (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* v 5))))))))) * * * * [misc]progress: [ 763 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) 1))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (498 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) t)) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * * [misc]simplify: iters left: 3 (484 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (* (sqrt (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (+ 1 (* (* v 3) v)))))) (* (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) t)) (/ (* (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (* (sqrt (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (+ 1 (* (* v 3) v)))))) (* (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 764 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (+ 2 (* (* 2 (* v (* 3 v))) (* (* (* 3 v) (- v)) (* v (* 3 v)))))))) (* (cbrt (* (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2))) (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2))))) (* (/ t (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (+ 2 (* (* 2 (* v (* 3 v))) (* (* (* 3 v) (- v)) (* v (* 3 v)))))))) (* (cbrt (* (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2))) (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2))))) (* (/ t (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2)))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * * [misc]simplify: iters left: 3 (480 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (+ 1 (* 3 (* v v))))) (- 1 (* v v))) (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))))) (/ (cbrt (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (* (/ (cbrt (sqrt (+ 1 (* 3 (* v v))))) (- 1 (* v v))) (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))))) (/ (cbrt (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5))))))))) * * * * [misc]progress: [ 765 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (* (cbrt (sqrt 2)) t)) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (sqrt (+ 2 (* (* 2 (* v (* 3 v))) (* (* v (* 3 v)) (* (* v v) (- 3)))))))) (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (* (cbrt (sqrt 2)) t)) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (sqrt (+ 2 (* (* 2 (* v (* 3 v))) (* (* v (* 3 v)) (* (* v v) (- 3)))))))) (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2)))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * * [misc]simplify: iters left: 3 (452 enodes) * [exit]simplify: Simplified to (* (/ (* (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (+ 1 (* 3 (* v v)))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (/ (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt 2))))) (* (/ (* (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (+ 1 (* 3 (* v v)))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (/ (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 766 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (/ t (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) (cbrt (sqrt (sqrt (* (- 1 (* v (* 3 v))) 2))))) (* (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))) (cbrt (sqrt (+ (* (* 2 (* v (* 3 v))) (* (* (- v) (* 3 v)) (* v (* 3 v)))) 2))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (/ t (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) (cbrt (sqrt (sqrt (* (- 1 (* v (* 3 v))) 2))))) (* (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))) (cbrt (sqrt (+ (* (* 2 (* v (* 3 v))) (* (* (- v) (* 3 v)) (* v (* 3 v)))) 2))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * * [misc]simplify: iters left: 3 (480 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (+ 1 (* 3 (* v v))))) (- 1 (* v v))) (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))))) (/ (cbrt (sqrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (* (/ (cbrt (sqrt (+ 1 (* 3 (* v v))))) (- 1 (* v v))) (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))))) (/ (cbrt (sqrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5))))))))) * * * * [misc]progress: [ 767 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (176 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (* (cbrt 1) t)) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2)))) (cbrt (sqrt (+ (* (* 2 (* (- v) (* 3 v))) (* (* v (* 3 v)) (* v (* 3 v)))) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (* (cbrt 1) t)) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2)))) (cbrt (sqrt (+ (* (* 2 (* (- v) (* 3 v))) (* (* v (* 3 v)) (* v (* 3 v)))) 2)))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * * [misc]simplify: iters left: 3 (484 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (* (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (+ 1 (* (* v 3) v)))))) (* (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt 1)))) (/ (* (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (* (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (+ 1 (* (* v 3) v)))))) (* (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 768 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (/ t (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))) (* (* (cbrt (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2)))) (cbrt (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2))))) (* (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))) (cbrt (sqrt (+ (* (* (* (* 3 v) (- v)) (* v (* 3 v))) (* (* v (* 3 v)) 2)) 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (/ t (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))) (* (* (cbrt (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2)))) (cbrt (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2))))) (* (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))) (cbrt (sqrt (+ (* (* (* (* 3 v) (- v)) (* v (* 3 v))) (* (* v (* 3 v)) 2)) 2)))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * * [misc]simplify: iters left: 3 (480 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (+ 1 (* 3 (* v v))))) (- 1 (* v v))) (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))))) (/ (cbrt (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (* (/ (cbrt (sqrt (+ 1 (* 3 (* v v))))) (- 1 (* v v))) (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))))) (/ (cbrt (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5))))))))) * * * * [misc]progress: [ 769 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (/ t (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) (sqrt (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2))))) (* (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))) (cbrt (sqrt (+ (* (* 2 (* v (* 3 v))) (* (* (- v) (* 3 v)) (* v (* 3 v)))) 2))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (/ t (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) (sqrt (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2))))) (* (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))) (cbrt (sqrt (+ (* (* 2 (* v (* 3 v))) (* (* (- v) (* 3 v)) (* v (* 3 v)))) 2))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * * [misc]simplify: iters left: 3 (480 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (+ 1 (* 3 (* v v))))) (- 1 (* v v))) (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))))) (/ (sqrt (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (* (/ (cbrt (sqrt (+ 1 (* 3 (* v v))))) (- 1 (* v v))) (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))))) (/ (sqrt (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5))))))))) * * * * [misc]progress: [ 770 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) 1))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * * [misc]simplify: iters left: 3 (497 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) t) (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (cbrt (sqrt (- 2 (* (* v (* 3 v)) (* (* 3 v) (* v 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) t) (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (cbrt (sqrt (- 2 (* (* v (* 3 v)) (* (* 3 v) (* v 2))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * * [misc]simplify: iters left: 3 (484 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (* (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (+ 1 (* (* v 3) v)))))) (* (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) 1))) (/ (* (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (* (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (+ 1 (* (* v 3) v)))))) (* (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 771 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt 1) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (+ 2 (* (* 2 (* v (* 3 v))) (* (* (* 3 v) (- v)) (* v (* 3 v)))))))) (* (cbrt (* (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2))) (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2))))) (* (/ t (sqrt 1)) (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (+ 2 (* (* 2 (* v (* 3 v))) (* (* (* 3 v) (- v)) (* v (* 3 v)))))))) (* (cbrt (* (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2))) (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2))))) (* (/ t (sqrt 1)) (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2)))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * * [misc]simplify: iters left: 3 (484 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (* (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt 1) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (* (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (* (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 772 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt 1) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (* (cbrt (sqrt 2)) (/ t (sqrt 1)))) (cbrt (sqrt (+ 2 (* (* 2 (* v (* 3 v))) (* (* v (* 3 v)) (* (* v v) (- 3)))))))) (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (* (cbrt (sqrt 2)) (/ t (sqrt 1)))) (cbrt (sqrt (+ 2 (* (* 2 (* v (* 3 v))) (* (* v (* 3 v)) (* (* v v) (- 3)))))))) (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2)))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * * [misc]simplify: iters left: 3 (454 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (/ (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* 3 (* v v)))))) (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt 1) (cbrt (sqrt 2))))) (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (/ (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* 3 (* v v)))))) (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))))))))) * * * * [misc]progress: [ 773 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt 1) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (/ t (sqrt 1))) (cbrt (sqrt (sqrt (* (- 1 (* v (* 3 v))) 2))))) (* (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))) (cbrt (sqrt (+ (* (* 2 (* v (* 3 v))) (* (* (- v) (* 3 v)) (* v (* 3 v)))) 2))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (/ t (sqrt 1))) (cbrt (sqrt (sqrt (* (- 1 (* v (* 3 v))) 2))))) (* (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))) (cbrt (sqrt (+ (* (* 2 (* v (* 3 v))) (* (* (- v) (* 3 v)) (* v (* 3 v)))) 2))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * * [misc]simplify: iters left: 3 (484 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (* (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt 1) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (* (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (* (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 774 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt 1) (cbrt 1)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (176 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (* (cbrt 1) (/ t (sqrt 1)))) (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2)))) (cbrt (sqrt (+ (* (* 2 (* (- v) (* 3 v))) (* (* v (* 3 v)) (* v (* 3 v)))) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (* (cbrt 1) (/ t (sqrt 1)))) (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2)))) (cbrt (sqrt (+ (* (* 2 (* (- v) (* 3 v))) (* (* v (* 3 v)) (* v (* 3 v)))) 2)))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (206 enodes) * * [misc]simplify: iters left: 3 (483 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- (/ 1 PI) (* (* v 5) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* v 3) v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt 1) (cbrt 1)))) (* (/ (sqrt (- (/ 1 PI) (* (* v 5) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* v 3) v))))))))) * * * * [misc]progress: [ 775 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt 1) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (/ t (sqrt 1))) (* (* (cbrt (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2)))) (cbrt (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2))))) (* (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))) (cbrt (sqrt (+ (* (* (* (* 3 v) (- v)) (* v (* 3 v))) (* (* v (* 3 v)) 2)) 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (/ t (sqrt 1))) (* (* (cbrt (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2)))) (cbrt (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2))))) (* (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))) (cbrt (sqrt (+ (* (* (* (* 3 v) (- v)) (* v (* 3 v))) (* (* v (* 3 v)) 2)) 2)))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * * [misc]simplify: iters left: 3 (484 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (* (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt 1) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (* (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (* (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 776 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt 1) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (/ t (sqrt 1))) (sqrt (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2))))) (* (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))) (cbrt (sqrt (+ (* (* 2 (* v (* 3 v))) (* (* (- v) (* 3 v)) (* v (* 3 v)))) 2))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (/ t (sqrt 1))) (sqrt (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2))))) (* (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))) (cbrt (sqrt (+ (* (* 2 (* v (* 3 v))) (* (* (- v) (* 3 v)) (* v (* 3 v)))) 2))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * * [misc]simplify: iters left: 3 (484 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (* (sqrt (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt 1) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (* (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (* (sqrt (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 777 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt 1) 1))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * * [misc]simplify: iters left: 3 (497 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (/ t (sqrt 1))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (cbrt (sqrt (- 2 (* (* v (* 3 v)) (* (* 3 v) (* v 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (/ t (sqrt 1))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (cbrt (sqrt (- 2 (* (* v (* 3 v)) (* (* 3 v) (* v 2))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (206 enodes) * * [misc]simplify: iters left: 3 (483 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- (/ 1 PI) (* (* v 5) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* v 3) v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt 1) 1))) (* (/ (sqrt (- (/ 1 PI) (* (* v 5) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* v 3) v))))))))) * * * * [misc]progress: [ 778 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (+ 2 (* (* 2 (* v (* 3 v))) (* (* (* 3 v) (- v)) (* v (* 3 v)))))))) (* (cbrt (* (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2))) (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2))))) (* (/ t (sqrt (- 1 (* (* 5 v) v)))) (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (+ 2 (* (* 2 (* v (* 3 v))) (* (* (* 3 v) (- v)) (* v (* 3 v)))))))) (* (cbrt (* (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2))) (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2))))) (* (/ t (sqrt (- 1 (* (* 5 v) v)))) (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2)))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * * [misc]simplify: iters left: 3 (421 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (- 1 (* v v))) (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v)))))) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (* (* (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (- 1 (* v v))) (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v)))))) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))))))) * * * * [misc]progress: [ 779 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (/ (* (cbrt (sqrt 2)) t) (sqrt (- 1 (* (* v v) 5))))) (cbrt (sqrt (+ 2 (* (* 2 (* v (* 3 v))) (* (* v (* 3 v)) (* (* v v) (- 3)))))))) (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (/ (* (cbrt (sqrt 2)) t) (sqrt (- 1 (* (* v v) 5))))) (cbrt (sqrt (+ 2 (* (* 2 (* v (* 3 v))) (* (* v (* 3 v)) (* (* v v) (- 3)))))))) (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2)))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * * [misc]simplify: iters left: 3 (397 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 (* (* v v) 3)))) (/ (cbrt (sqrt (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3))))) (* (/ (- 1 (* v v)) (sqrt (/ 1 PI))) (cbrt (sqrt (- 1 (* (* v v) 3))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt 2))))) (* (cbrt (sqrt (+ 1 (* (* v v) 3)))) (/ (cbrt (sqrt (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3))))) (* (/ (- 1 (* v v)) (sqrt (/ 1 PI))) (cbrt (sqrt (- 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 780 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (/ t (sqrt (- 1 (* (* v v) 5))))) (cbrt (sqrt (sqrt (* (- 1 (* v (* 3 v))) 2))))) (* (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))) (cbrt (sqrt (+ (* (* 2 (* v (* 3 v))) (* (* (- v) (* 3 v)) (* v (* 3 v)))) 2))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (/ t (sqrt (- 1 (* (* v v) 5))))) (cbrt (sqrt (sqrt (* (- 1 (* v (* 3 v))) 2))))) (* (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))) (cbrt (sqrt (+ (* (* 2 (* v (* 3 v))) (* (* (- v) (* 3 v)) (* v (* 3 v)))) 2))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * * [misc]simplify: iters left: 3 (421 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (- 1 (* v v))) (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v)))))) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* v 3)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (* (* (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (- 1 (* v v))) (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v)))))) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* v 3)))))))))) * * * * [misc]progress: [ 781 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (176 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (/ (sqrt (- 1 (* (* v v) 5))) (cbrt 1))) (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2)))) (cbrt (sqrt (+ (* (* 2 (* (- v) (* 3 v))) (* (* v (* 3 v)) (* v (* 3 v)))) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (/ (sqrt (- 1 (* (* v v) 5))) (cbrt 1))) (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2)))) (cbrt (sqrt (+ (* (* 2 (* (- v) (* 3 v))) (* (* v (* 3 v)) (* v (* 3 v)))) 2)))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (176 enodes) * * [misc]simplify: iters left: 3 (419 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (/ (/ (- 1 (* v v)) (sqrt (/ 1 PI))) (cbrt (sqrt (+ 1 (* (* v 3) v)))))) (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt 1)))) (/ (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (/ (/ (- 1 (* v v)) (sqrt (/ 1 PI))) (cbrt (sqrt (+ 1 (* (* v 3) v)))))) (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))))) * * * * [misc]progress: [ 782 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (/ t (sqrt (- 1 (* (* 5 v) v))))) (* (* (cbrt (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2)))) (cbrt (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2))))) (* (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))) (cbrt (sqrt (+ (* (* (* (* 3 v) (- v)) (* v (* 3 v))) (* (* v (* 3 v)) 2)) 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (/ t (sqrt (- 1 (* (* 5 v) v))))) (* (* (cbrt (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2)))) (cbrt (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2))))) (* (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))) (cbrt (sqrt (+ (* (* (* (* 3 v) (- v)) (* v (* 3 v))) (* (* v (* 3 v)) 2)) 2)))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * * [misc]simplify: iters left: 3 (421 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (- 1 (* v v))) (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v)))))) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (* (* (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (- 1 (* v v))) (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v)))))) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))))))) * * * * [misc]progress: [ 783 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (/ t (sqrt (- 1 (* (* v v) 5))))) (sqrt (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2))))) (* (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))) (cbrt (sqrt (+ (* (* 2 (* v (* 3 v))) (* (* (- v) (* 3 v)) (* v (* 3 v)))) 2))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (/ t (sqrt (- 1 (* (* v v) 5))))) (sqrt (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2))))) (* (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))) (cbrt (sqrt (+ (* (* 2 (* v (* 3 v))) (* (* (- v) (* 3 v)) (* v (* 3 v)))) 2))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * * [misc]simplify: iters left: 3 (421 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (- 1 (* v v))) (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v)))))) (/ (sqrt (/ 1 PI)) (sqrt (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (* (* (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (- 1 (* v v))) (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v)))))) (/ (sqrt (/ 1 PI)) (sqrt (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))))))) * * * * [misc]progress: [ 784 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) 1))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * * [misc]simplify: iters left: 3 (497 enodes) * [exit]simplify: Simplified to (/ (/ (/ (* (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (sqrt (- 1 (* (* 5 v) v)))) t) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (cbrt (sqrt (- 2 (* (* v (* 3 v)) (* (* 3 v) (* v 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (* (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (sqrt (- 1 (* (* 5 v) v)))) t) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (cbrt (sqrt (- 2 (* (* v (* 3 v)) (* (* 3 v) (* v 2))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (176 enodes) * * [misc]simplify: iters left: 3 (419 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (/ (/ (- 1 (* v v)) (sqrt (/ 1 PI))) (cbrt (sqrt (+ 1 (* (* v 3) v)))))) (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) 1))) (/ (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (/ (/ (- 1 (* v v)) (sqrt (/ 1 PI))) (cbrt (sqrt (+ 1 (* (* v 3) v)))))) (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))))) * * * * [misc]progress: [ 785 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (+ 2 (* (* 2 (* v (* 3 v))) (* (* (* 3 v) (- v)) (* v (* 3 v)))))))) (* (cbrt (* (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2))) (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2))))) (* (/ t (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (+ 2 (* (* 2 (* v (* 3 v))) (* (* (* 3 v) (- v)) (* v (* 3 v)))))))) (* (cbrt (* (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2))) (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2))))) (* (/ t (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2)))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * * [misc]simplify: iters left: 3 (480 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (+ 1 (* 3 (* v v))))) (- 1 (* v v))) (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))))) (/ (cbrt (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (* (/ (cbrt (sqrt (+ 1 (* 3 (* v v))))) (- 1 (* v v))) (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))))) (/ (cbrt (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5))))))))) * * * * [misc]progress: [ 786 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (* (cbrt (sqrt 2)) t)) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (sqrt (+ 2 (* (* 2 (* v (* 3 v))) (* (* v (* 3 v)) (* (* v v) (- 3)))))))) (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (* (cbrt (sqrt 2)) t)) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (sqrt (+ 2 (* (* 2 (* v (* 3 v))) (* (* v (* 3 v)) (* (* v v) (- 3)))))))) (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2)))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * * [misc]simplify: iters left: 3 (452 enodes) * [exit]simplify: Simplified to (* (/ (* (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (+ 1 (* 3 (* v v)))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (/ (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt 2))))) (* (/ (* (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (+ 1 (* 3 (* v v)))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (/ (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 787 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (/ t (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) (cbrt (sqrt (sqrt (* (- 1 (* v (* 3 v))) 2))))) (* (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))) (cbrt (sqrt (+ (* (* 2 (* v (* 3 v))) (* (* (- v) (* 3 v)) (* v (* 3 v)))) 2))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (/ t (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) (cbrt (sqrt (sqrt (* (- 1 (* v (* 3 v))) 2))))) (* (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))) (cbrt (sqrt (+ (* (* 2 (* v (* 3 v))) (* (* (- v) (* 3 v)) (* v (* 3 v)))) 2))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * * [misc]simplify: iters left: 3 (480 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (+ 1 (* 3 (* v v))))) (- 1 (* v v))) (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))))) (/ (cbrt (sqrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (* (/ (cbrt (sqrt (+ 1 (* 3 (* v v))))) (- 1 (* v v))) (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))))) (/ (cbrt (sqrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5))))))))) * * * * [misc]progress: [ 788 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (176 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (* (cbrt 1) t)) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2)))) (cbrt (sqrt (+ (* (* 2 (* (- v) (* 3 v))) (* (* v (* 3 v)) (* v (* 3 v)))) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (* (cbrt 1) t)) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2)))) (cbrt (sqrt (+ (* (* 2 (* (- v) (* 3 v))) (* (* v (* 3 v)) (* v (* 3 v)))) 2)))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * * [misc]simplify: iters left: 3 (484 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (* (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (+ 1 (* (* v 3) v)))))) (* (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt 1)))) (/ (* (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (* (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (+ 1 (* (* v 3) v)))))) (* (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 789 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (/ t (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))) (* (* (cbrt (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2)))) (cbrt (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2))))) (* (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))) (cbrt (sqrt (+ (* (* (* (* 3 v) (- v)) (* v (* 3 v))) (* (* v (* 3 v)) 2)) 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (/ t (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))) (* (* (cbrt (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2)))) (cbrt (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2))))) (* (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))) (cbrt (sqrt (+ (* (* (* (* 3 v) (- v)) (* v (* 3 v))) (* (* v (* 3 v)) 2)) 2)))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * * [misc]simplify: iters left: 3 (480 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (+ 1 (* 3 (* v v))))) (- 1 (* v v))) (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))))) (/ (cbrt (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (* (/ (cbrt (sqrt (+ 1 (* 3 (* v v))))) (- 1 (* v v))) (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))))) (/ (cbrt (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5))))))))) * * * * [misc]progress: [ 790 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (/ t (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) (sqrt (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2))))) (* (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))) (cbrt (sqrt (+ (* (* 2 (* v (* 3 v))) (* (* (- v) (* 3 v)) (* v (* 3 v)))) 2))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (/ t (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) (sqrt (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2))))) (* (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))) (cbrt (sqrt (+ (* (* 2 (* v (* 3 v))) (* (* (- v) (* 3 v)) (* v (* 3 v)))) 2))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * * [misc]simplify: iters left: 3 (480 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (+ 1 (* 3 (* v v))))) (- 1 (* v v))) (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))))) (/ (sqrt (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (* (/ (cbrt (sqrt (+ 1 (* 3 (* v v))))) (- 1 (* v v))) (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))))) (/ (sqrt (cbrt (sqrt (- 2 (* (* 2 v) (* v 3)))))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5))))))))) * * * * [misc]progress: [ 791 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) 1))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * * [misc]simplify: iters left: 3 (497 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) t) (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (cbrt (sqrt (- 2 (* (* v (* 3 v)) (* (* 3 v) (* v 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) t) (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (cbrt (sqrt (- 2 (* (* v (* 3 v)) (* (* 3 v) (* v 2))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * * [misc]simplify: iters left: 3 (484 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (* (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (+ 1 (* (* v 3) v)))))) (* (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) 1))) (/ (* (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (* (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (+ 1 (* (* v 3) v)))))) (* (cbrt (sqrt (- 2 (* (* 2 v) (* v 3))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 792 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ 1 (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) t) (* (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))) (cbrt (sqrt (+ (* (* (* 3 v) (* (- v) 2)) (* (* v (* 3 v)) (* v (* 3 v)))) 2))))) (cbrt (* (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2))) (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) t) (* (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))) (cbrt (sqrt (+ (* (* (* 3 v) (* (- v) 2)) (* (* v (* 3 v)) (* v (* 3 v)))) 2))))) (cbrt (* (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2))) (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2)))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * * [misc]simplify: iters left: 3 (484 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (* (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ 1 (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (* (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (* (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 793 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ 1 (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (175 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (* (cbrt (sqrt 2)) t)) (* (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))) (cbrt (sqrt (+ (* (* 2 (* (- v) (* 3 v))) (* (* v (* 3 v)) (* v (* 3 v)))) 2))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (* (cbrt (sqrt 2)) t)) (* (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))) (cbrt (sqrt (+ (* (* 2 (* (- v) (* 3 v))) (* (* v (* 3 v)) (* v (* 3 v)))) 2))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * * [misc]simplify: iters left: 3 (454 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (/ (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* 3 (* v v)))))) (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ 1 (cbrt (sqrt 2))))) (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (/ (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* 3 (* v v)))))) (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))))))))) * * * * [misc]progress: [ 794 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ 1 (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (cbrt (sqrt (sqrt (* (- 1 (* v (* 3 v))) 2))))) (* (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))) (cbrt (sqrt (+ 2 (* (* (* (- v) (* 3 v)) (* v (* 3 v))) (* (* v (* 3 v)) 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (cbrt (sqrt (sqrt (* (- 1 (* v (* 3 v))) 2))))) (* (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))) (cbrt (sqrt (+ 2 (* (* (* (- v) (* 3 v)) (* v (* 3 v))) (* (* v (* 3 v)) 2))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * * [misc]simplify: iters left: 3 (484 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (* (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ 1 (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (* (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (* (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 795 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ 1 (cbrt 1)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (174 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (* t (cbrt 1))) (cbrt (sqrt (+ (* (* (* v (* 3 v)) (* v (* 3 v))) (* (* (* 3 v) (- v)) 2)) 2)))) (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (* t (cbrt 1))) (cbrt (sqrt (+ (* (* (* v (* 3 v)) (* v (* 3 v))) (* (* (* 3 v) (- v)) 2)) 2)))) (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2)))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (206 enodes) * * [misc]simplify: iters left: 3 (483 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- (/ 1 PI) (* (* v 5) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* v 3) v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ 1 (cbrt 1)))) (* (/ (sqrt (- (/ 1 PI) (* (* v 5) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* v 3) v))))))))) * * * * [misc]progress: [ 796 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ 1 (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (+ 2 (* (* 2 (* v (* 3 v))) (* (* (- v) (* 3 v)) (* v (* 3 v)))))))) (* (* t (cbrt (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2))))) (* (cbrt (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2)))) (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (+ 2 (* (* 2 (* v (* 3 v))) (* (* (- v) (* 3 v)) (* v (* 3 v)))))))) (* (* t (cbrt (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2))))) (* (cbrt (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2)))) (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2)))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * * [misc]simplify: iters left: 3 (484 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (* (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ 1 (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (* (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (* (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 797 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ 1 (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (sqrt (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2))))) (* (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))) (cbrt (sqrt (+ 2 (* (* (* (- v) (* 3 v)) (* v (* 3 v))) (* (* v (* 3 v)) 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (sqrt (cbrt (sqrt (* (- 1 (* v (* 3 v))) 2))))) (* (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))) (cbrt (sqrt (+ 2 (* (* (* (- v) (* 3 v)) (* v (* 3 v))) (* (* v (* 3 v)) 2))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * * [misc]simplify: iters left: 3 (484 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (* (sqrt (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ 1 (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (* (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (* (sqrt (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 798 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ 1 1))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (422 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) t) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) t) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (206 enodes) * * [misc]simplify: iters left: 3 (483 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- (/ 1 PI) (* (* v 5) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* v 3) v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) t) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (* (/ (sqrt (- (/ 1 PI) (* (* v 5) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* v 3) v))))))))) * * * * [misc]progress: [ 799 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t 1)) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (152 enodes) * * [misc]simplify: iters left: 3 (423 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) t) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) t) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (206 enodes) * * [misc]simplify: iters left: 3 (483 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- (/ 1 PI) (* (* v 5) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* v 3) v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t 1)) (* (/ (sqrt (- (/ 1 PI) (* (* v 5) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* v 3) v))))))))) * * * * [misc]progress: [ 800 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (sqrt (/ (- 1 (* (* v v) 5)) PI)))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (464 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 PI) (* (/ 5 PI) (* v v))) t) (* (cbrt (sqrt (- 2 (* (* v (* 3 v)) (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (- (/ 1 PI) (* (/ 5 PI) (* v v))) t) (* (cbrt (sqrt (- 2 (* (* v (* 3 v)) (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (464 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (- (/ 1 PI) (* (/ 5 PI) (* v v))) t) (* (cbrt (sqrt (- 2 (* (* v (* 3 v)) (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))))) (* (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 801 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3)))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (/ t (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (cbrt (sqrt (+ (* (* (* v (* 3 v)) (* v (* 3 v))) (* (* (* v v) (- 3)) 2)) 2)))) (* (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))) (cbrt (sqrt (+ (* (* (* v (* 3 v)) (* v (* 3 v))) (* (* (* v v) (- 3)) 2)) 2))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (/ t (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (cbrt (sqrt (+ (* (* (* v (* 3 v)) (* v (* 3 v))) (* (* (* v v) (- 3)) 2)) 2)))) (* (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))) (cbrt (sqrt (+ (* (* (* v (* 3 v)) (* v (* 3 v))) (* (* (* v v) (- 3)) 2)) 2))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * * [misc]simplify: iters left: 3 (269 enodes) * * [misc]simplify: iters left: 2 (487 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3))))) (* (cbrt (sqrt (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3))))) (/ (cbrt (sqrt (+ 1 (* (* v v) 3)))) (- 1 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3)))))))) (* (cbrt (sqrt (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3))))) (* (cbrt (sqrt (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3))))) (/ (cbrt (sqrt (+ 1 (* (* v v) 3)))) (- 1 (* v v))))))) * * * * [misc]progress: [ 802 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (/ t (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2)))) (* (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))) (cbrt (sqrt (+ 2 (* (* 2 (* (* 3 v) (- v))) (* (* v (* 3 v)) (* v (* 3 v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (/ t (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2)))) (* (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2))) (cbrt (sqrt (+ 2 (* (* 2 (* (* 3 v) (- v))) (* (* v (* 3 v)) (* v (* 3 v))))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* v 3) v)))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* v 3) v)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (268 enodes) * * [misc]simplify: iters left: 2 (467 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (sqrt (+ 1 (* (* v v) 3)))) (- 1 (* v v))) (cbrt (sqrt (+ 1 (* (* v v) 3))))) (cbrt (sqrt (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v))))))))) (* (* (/ (cbrt (sqrt (+ 1 (* (* v v) 3)))) (- 1 (* v v))) (cbrt (sqrt (+ 1 (* (* v v) 3))))) (cbrt (sqrt (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3)))))))) * * * * [misc]progress: [ 803 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) 1) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (152 enodes) * * [misc]simplify: iters left: 3 (420 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (/ (* t (- 1 (* v v))) (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))) (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* (- 1 (* (* v 3) v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) 1) (/ (* (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (/ (* t (- 1 (* v v))) (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))) (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* (- 1 (* (* v 3) v)) 2)))))) * * * * [misc]progress: [ 804 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (* t (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (175 enodes) * * [misc]simplify: iters left: 3 (470 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (- t (* (* v v) t))) (cbrt (sqrt (- 2 (* (* (* v 2) (* 3 v)) (* v (* 3 v))))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (- t (* (* v v) t))) (cbrt (sqrt (- 2 (* (* (* v 2) (* 3 v)) (* v (* 3 v))))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ 1 (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ 1 (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * * [misc]simplify: iters left: 3 (453 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ 1 (* (* v v) 3)))) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (/ (cbrt (sqrt (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3))))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (* t (- 1 (* v v)))) (* (* (cbrt (sqrt (+ 1 (* (* v v) 3)))) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (/ (cbrt (sqrt (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3))))) (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))))))) * * * * [misc]progress: [ 805 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ (* t (- 1 (* v v))) (sqrt (/ (- 1 (* (* v v) 5)) PI)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (/ (* t (- 1 (* v v))) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (sqrt (+ 2 (* (* 2 (* (* v v) (- 3))) (* (* v (* 3 v)) (* v (* 3 v)))))))) (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (/ (* t (- 1 (* v v))) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (sqrt (+ 2 (* (* 2 (* (* v v) (- 3))) (* (* v (* 3 v)) (* v (* 3 v)))))))) (cbrt (sqrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) 2)))) (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (284 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 (* 3 (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ (* t (- 1 (* v v))) (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (* (/ (cbrt (sqrt (+ 1 (* 3 (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))))))) * * * * [misc]progress: [ 806 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (* (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (* (cbrt (sqrt (+ 2 (* (* (* 3 (* v v)) (* 3 (* v v))) (* (* 2 (* 3 v)) (- v)))))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))))) (* (cbrt (* (cbrt (sqrt (* 2 (- 1 (* 3 (* v v)))))) (/ (* t (- 1 (* v v))) (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* 3 (* v v)))))) (/ (* t (- 1 (* v v))) (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (* (cbrt (sqrt (+ 2 (* (* (* 3 (* v v)) (* 3 (* v v))) (* (* 2 (* 3 v)) (- v)))))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))))) (* (cbrt (* (cbrt (sqrt (* 2 (- 1 (* 3 (* v v)))))) (/ (* t (- 1 (* v v))) (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* 3 (* v v)))))) (/ (* t (- 1 (* v v))) (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * * [misc]simplify: iters left: 3 (407 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))))) (cbrt (sqrt (+ 1 (* 3 (* v v)))))) (cbrt (/ (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (/ (sqrt (- (/ 1 PI) (* (* v 5) (/ v PI)))) (- t (* v (* t v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (* (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (* (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))))) (cbrt (sqrt (+ 1 (* 3 (* v v)))))) (cbrt (/ (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (/ (sqrt (- (/ 1 PI) (* (* v 5) (/ v PI)))) (- t (* v (* t v))))))))) * * * * [misc]progress: [ 807 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (sqrt (* (cbrt (sqrt (* 2 (- 1 (* 3 (* v v)))))) (/ (* t (- 1 (* v v))) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))))) (* (cbrt (sqrt (+ 2 (* (* (* 3 (* v v)) (* 3 (* v v))) (* (* 2 v) (* v (- 3))))))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (sqrt (* (cbrt (sqrt (* 2 (- 1 (* 3 (* v v)))))) (/ (* t (- 1 (* v v))) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))))) (* (cbrt (sqrt (+ 2 (* (* (* 3 (* v v)) (* 3 (* v v))) (* (* 2 v) (* v (- 3))))))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * * [misc]simplify: iters left: 3 (407 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))))) (cbrt (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (/ (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (/ (sqrt (- (/ 1 PI) (* (* v 5) (/ v PI)))) (- t (* v (* t v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (* (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))))) (cbrt (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (/ (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (/ (sqrt (- (/ 1 PI) (* (* v 5) (/ v PI)))) (- t (* v (* t v))))))))) * * * * [misc]progress: [ 808 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (* (cbrt (sqrt (+ 2 (* (* (* 3 (* v v)) (* 3 (* v v))) (* (* 3 (- v)) (* v 2)))))) t)) (* (cbrt (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2))))) (cbrt (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (* (cbrt (sqrt (+ 2 (* (* (* 3 (* v v)) (* 3 (* v v))) (* (* 3 (- v)) (* v 2)))))) t)) (* (cbrt (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2))))) (cbrt (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * * [misc]simplify: iters left: 3 (401 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))))) (/ (cbrt (sqrt (+ 1 (* 3 (* v v))))) (- 1 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (* (cbrt (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))))) (/ (cbrt (sqrt (+ 1 (* 3 (* v v))))) (- 1 (* v v))))))) * * * * [misc]progress: [ 809 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * * [misc]simplify: iters left: 3 (496 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) t) (/ (sqrt (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) t) (/ (sqrt (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * * [misc]simplify: iters left: 3 (401 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))))) (/ (cbrt (sqrt (+ 1 (* 3 (* v v))))) (- 1 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (* (sqrt (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))))) (/ (cbrt (sqrt (+ 1 (* 3 (* v v))))) (- 1 (* v v))))))) * * * * [misc]progress: [ 810 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * [exit]simplify: Simplified to (* (/ (* (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* 3 (* v v)))))) (cbrt (sqrt (* 2 (- 1 (* 3 (* v v))))))))) (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (* (cbrt (sqrt (+ 2 (* (* (* 3 (* v v)) (* 3 (* v v))) (* (* 2 (- v)) (* 3 v)))))) t))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (* (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* 3 (* v v)))))) (cbrt (sqrt (* 2 (- 1 (* 3 (* v v))))))))) (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (* (cbrt (sqrt (+ 2 (* (* (* 3 (* v v)) (* 3 (* v v))) (* (* 2 (- v)) (* 3 v)))))) t))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* 3 v) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (* (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* 3 v) v)))))))) * * * * [misc]progress: [ 811 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (* (cbrt (sqrt 2)) t)) (* (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))))) (cbrt (sqrt (+ 2 (* (* 2 (* (* 3 v) (- v))) (* (* 3 (* v v)) (* 3 (* v v)))))))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (* (cbrt (sqrt 2)) t)) (* (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))))) (cbrt (sqrt (+ 2 (* (* 2 (* (* 3 v) (- v))) (* (* 3 (* v v)) (* 3 (* v v)))))))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * * [misc]simplify: iters left: 3 (435 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt 2))))) (/ (* (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))))))) * * * * [misc]progress: [ 812 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (* (* (cbrt (sqrt (sqrt (* 2 (- 1 (* 3 (* v v))))))) (/ t (* (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))))) (* (cbrt (sqrt (+ 2 (* (* 2 (* 3 (* v v))) (* (* (* v v) (* 3 v)) (- (* 3 v))))))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (* (* (cbrt (sqrt (sqrt (* 2 (- 1 (* 3 (* v v))))))) (/ t (* (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))))) (* (cbrt (sqrt (+ 2 (* (* 2 (* 3 (* v v))) (* (* (* v v) (* 3 v)) (- (* 3 v))))))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* 3 v) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (* (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* 3 v) v)))))))) * * * * [misc]progress: [ 813 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (* (cbrt (sqrt (+ 2 (* (* 2 (* (- v) (* 3 v))) (* (* 3 (* v v)) (* 3 (* v v))))))) (* (/ t (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (/ (cbrt 1) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (* (cbrt (sqrt (+ 2 (* (* 2 (* (- v) (* 3 v))) (* (* 3 (* v v)) (* 3 (* v v))))))) (* (/ t (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (/ (cbrt 1) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (/ (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))) (/ (- 1 (* v v)) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt 1)))) (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (/ (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))) (/ (- 1 (* v v)) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))))))) * * * * [misc]progress: [ 814 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (* (cbrt (sqrt (+ (* (* (* 3 (* v v)) (* 3 (* v v))) (* (- v) (* (* 3 v) 2))) 2))) t)) (* (/ (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* 3 (* v v)))))))) (/ (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* 3 (* v v)))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (* (cbrt (sqrt (+ (* (* (* 3 (* v v)) (* 3 (* v v))) (* (- v) (* (* 3 v) 2))) 2))) t)) (* (/ (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* 3 (* v v)))))))) (/ (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* 3 (* v v)))))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* 3 v) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (* (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* 3 v) v)))))))) * * * * [misc]progress: [ 815 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (* (* (sqrt (cbrt (sqrt (* 2 (- 1 (* 3 (* v v))))))) (/ t (* (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))))) (* (cbrt (sqrt (+ 2 (* (* 2 (* 3 (* v v))) (* (* (* v v) (* 3 v)) (- (* 3 v))))))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (* (* (sqrt (cbrt (sqrt (* 2 (- 1 (* 3 (* v v))))))) (/ t (* (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))))) (* (cbrt (sqrt (+ 2 (* (* 2 (* 3 (* v v))) (* (* (* v v) (* 3 v)) (- (* 3 v))))))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* 3 v) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (* (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* 3 v) v)))))))) * * * * [misc]progress: [ 816 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) 1))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) t) (* (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))) (cbrt (sqrt (+ (* (* 2 (* (* 3 v) (- v))) (* (* 3 (* v v)) (* 3 (* v v)))) 2)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) t) (* (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))) (cbrt (sqrt (+ (* (* 2 (* (* 3 v) (- v))) (* (* 3 (* v v)) (* 3 (* v v)))) 2)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (/ (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))) (/ (- 1 (* v v)) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) 1))) (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (/ (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))) (/ (- 1 (* v v)) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))))))) * * * * [misc]progress: [ 817 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (* (cbrt (* (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2))) (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2))))) (* (/ t (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (cbrt (sqrt (+ (* (* 2 (* 3 (* v v))) (* (* (- v) (* 3 v)) (* 3 (* v v)))) 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (* (cbrt (* (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2))) (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2))))) (* (/ t (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (cbrt (sqrt (+ (* (* 2 (* 3 (* v v))) (* (* (- v) (* 3 v)) (* 3 (* v v)))) 2)))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))) (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* 3 v) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (* (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))) (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* 3 v) v)))))))) * * * * [misc]progress: [ 818 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (* t (cbrt (sqrt 2)))) (fabs (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (cbrt (sqrt (+ 2 (* (* (* 3 (* v v)) (* 3 (* v v))) (* (* (* 3 v) (- v)) 2)))))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (* t (cbrt (sqrt 2)))) (fabs (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (cbrt (sqrt (+ 2 (* (* (* 3 (* v v)) (* 3 (* v v))) (* (* (* 3 v) (- v)) 2)))))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * * [misc]simplify: iters left: 3 (435 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt 2))))) (/ (* (/ (sqrt (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))))))) * * * * [misc]progress: [ 819 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (/ t (fabs (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))))) (cbrt (sqrt (sqrt (* (- 1 (* 3 (* v v))) 2))))) (* (cbrt (sqrt (+ 2 (* (* (* (* 3 v) (- v)) (* 3 (* v v))) (* (* 3 (* v v)) 2))))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (/ t (fabs (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))))) (cbrt (sqrt (sqrt (* (- 1 (* 3 (* v v))) 2))))) (* (cbrt (sqrt (+ 2 (* (* (* (* 3 v) (- v)) (* 3 (* v v))) (* (* 3 (* v v)) 2))))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))) (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* 3 v) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (* (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))) (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* 3 v) v)))))))) * * * * [misc]progress: [ 820 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (* (cbrt 1) t)) (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (cbrt (sqrt (+ 2 (* (* (* 3 (* v v)) (* 3 (* v v))) (* (* (- v) (* 3 v)) 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (* (cbrt 1) t)) (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (cbrt (sqrt (+ 2 (* (* (* 3 (* v v)) (* 3 (* v v))) (* (* (- v) (* 3 v)) 2)))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (/ (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))) (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt 1)))) (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (/ (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))) (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))))))) * * * * [misc]progress: [ 821 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (/ t (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))) (* (cbrt (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2)))) (cbrt (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2)))))) (* (cbrt (sqrt (+ 2 (* (* (* 3 (* v v)) (* 3 (* v v))) (* (* 2 (* 3 v)) (- v)))))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (/ t (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))) (* (cbrt (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2)))) (cbrt (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2)))))) (* (cbrt (sqrt (+ 2 (* (* (* 3 (* v v)) (* 3 (* v v))) (* (* 2 (* 3 v)) (- v)))))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))) (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* 3 v) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (* (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))) (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* 3 v) v)))))))) * * * * [misc]progress: [ 822 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (/ t (fabs (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))))) (sqrt (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2))))) (* (cbrt (sqrt (+ 2 (* (* (* (* 3 v) (- v)) (* 3 (* v v))) (* (* 3 (* v v)) 2))))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (/ t (fabs (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))))) (sqrt (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2))))) (* (cbrt (sqrt (+ 2 (* (* (* (* 3 v) (- v)) (* 3 (* v v))) (* (* 3 (* v v)) 2))))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))) (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* 3 v) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (* (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))) (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* 3 v) v)))))))) * * * * [misc]progress: [ 823 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) 1))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (493 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) t) (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) t) (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (/ (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))) (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) t) (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (/ (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))) (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))))))) * * * * [misc]progress: [ 824 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (* (cbrt (* (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2))) (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2))))) (* (/ t (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (sqrt (+ (* (* (* 3 (* v v)) (* 3 (* v v))) (* 2 (* (* 3 v) (- v)))) 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (* (cbrt (* (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2))) (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2))))) (* (/ t (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (sqrt (+ (* (* (* 3 (* v v)) (* 3 (* v v))) (* 2 (* (* 3 v) (- v)))) 2)))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* 3 v) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (* (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* 3 v) v)))))))) * * * * [misc]progress: [ 825 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (* (cbrt (sqrt 2)) t)) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (cbrt (sqrt (+ (* (* 2 (* (* 3 v) (- v))) (* (* 3 (* v v)) (* 3 (* v v)))) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (* (cbrt (sqrt 2)) t)) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (cbrt (sqrt (+ (* (* 2 (* (* 3 v) (- v))) (* (* 3 (* v v)) (* 3 (* v v)))) 2)))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * * [misc]simplify: iters left: 3 (435 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt 2))))) (/ (* (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))))))) * * * * [misc]progress: [ 826 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (/ t (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) (cbrt (sqrt (sqrt (* (- 1 (* 3 (* v v))) 2))))) (* (cbrt (sqrt (+ (* (* (- v) (* (* 3 v) 2)) (* (* 3 (* v v)) (* 3 (* v v)))) 2))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (/ t (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) (cbrt (sqrt (sqrt (* (- 1 (* 3 (* v v))) 2))))) (* (cbrt (sqrt (+ (* (* (- v) (* (* 3 v) 2)) (* (* 3 (* v v)) (* 3 (* v v)))) 2))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* 3 v) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (* (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* 3 v) v)))))))) * * * * [misc]progress: [ 827 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (176 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (* (cbrt 1) t)) (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (cbrt (sqrt (+ 2 (* (* (* (- v) (* 3 v)) (* 3 (* v v))) (* (* 3 (* v v)) 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (* (cbrt 1) t)) (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (cbrt (sqrt (+ 2 (* (* (* (- v) (* 3 v)) (* 3 (* v v))) (* (* 3 (* v v)) 2)))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (/ (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt 1)))) (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (/ (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))))))) * * * * [misc]progress: [ 828 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (* (cbrt (sqrt (+ 2 (* (* (* 3 v) (* (- v) 2)) (* (* 3 (* v v)) (* 3 (* v v))))))) t)) (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2))))) (cbrt (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (* (cbrt (sqrt (+ 2 (* (* (* 3 v) (* (- v) 2)) (* (* 3 (* v v)) (* 3 (* v v))))))) t)) (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2))))) (cbrt (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2)))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* 3 v) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (* (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* 3 v) v)))))))) * * * * [misc]progress: [ 829 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (/ t (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) (sqrt (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2))))) (* (cbrt (sqrt (+ (* (* (- v) (* (* 3 v) 2)) (* (* 3 (* v v)) (* 3 (* v v)))) 2))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (/ t (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) (sqrt (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2))))) (* (cbrt (sqrt (+ (* (* (- v) (* (* 3 v) 2)) (* (* 3 (* v v)) (* 3 (* v v)))) 2))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* 3 v) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (* (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* 3 v) v)))))))) * * * * [misc]progress: [ 830 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) 1))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (* (/ t (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (cbrt (sqrt (+ (* (* 2 (* (* 3 v) (- v))) (* (* 3 (* v v)) (* 3 (* v v)))) 2))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (* (/ t (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (cbrt (sqrt (+ (* (* 2 (* (* 3 v) (- v))) (* (* 3 (* v v)) (* 3 (* v v)))) 2))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (/ (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) 1))) (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (/ (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))))))) * * * * [misc]progress: [ 831 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt 1) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (* (cbrt (* (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2))) (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2))))) (* (/ t (sqrt 1)) (cbrt (sqrt (+ (* (* (* 3 (* v v)) (* 3 (* v v))) (* 2 (* (* 3 v) (- v)))) 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (* (cbrt (* (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2))) (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2))))) (* (/ t (sqrt 1)) (cbrt (sqrt (+ (* (* (* 3 (* v v)) (* 3 (* v v))) (* 2 (* (* 3 v) (- v)))) 2)))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))) (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt 1) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))) (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))))) * * * * [misc]progress: [ 832 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt 1) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (* (cbrt (sqrt 2)) (/ t (sqrt 1)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (cbrt (sqrt (+ (* (* 2 (* (* 3 v) (- v))) (* (* 3 (* v v)) (* 3 (* v v)))) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (* (cbrt (sqrt 2)) (/ t (sqrt 1)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (cbrt (sqrt (+ (* (* 2 (* (* 3 v) (- v))) (* (* 3 (* v v)) (* 3 (* v v)))) 2)))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * * [misc]simplify: iters left: 3 (436 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (/ (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt 1) (cbrt (sqrt 2))))) (* (/ (cbrt (sqrt (+ 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (/ (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))))) * * * * [misc]progress: [ 833 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt 1) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (/ t (sqrt 1))) (cbrt (sqrt (sqrt (* (- 1 (* 3 (* v v))) 2))))) (* (cbrt (sqrt (+ (* (* (- v) (* (* 3 v) 2)) (* (* 3 (* v v)) (* 3 (* v v)))) 2))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (/ t (sqrt 1))) (cbrt (sqrt (sqrt (* (- 1 (* 3 (* v v))) 2))))) (* (cbrt (sqrt (+ (* (* (- v) (* (* 3 v) 2)) (* (* 3 (* v v)) (* 3 (* v v)))) 2))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))) (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v)))))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt 1) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))) (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v)))))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))))) * * * * [misc]progress: [ 834 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt 1) (cbrt 1)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (176 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (* (cbrt 1) (/ t (sqrt 1)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (cbrt (sqrt (+ 2 (* (* (* (- v) (* 3 v)) (* 3 (* v v))) (* (* 3 (* v v)) 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (* (cbrt 1) (/ t (sqrt 1)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (cbrt (sqrt (+ 2 (* (* (* (- v) (* 3 v)) (* 3 (* v v))) (* (* 3 (* v v)) 2)))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (- 1 (* v v))) (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v)))))) (/ (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))) (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt 1) (cbrt 1)))) (/ (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (- 1 (* v v))) (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v)))))) (/ (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))) (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))))) * * * * [misc]progress: [ 835 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt 1) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (* (cbrt (sqrt (+ 2 (* (* (* 3 v) (* (- v) 2)) (* (* 3 (* v v)) (* 3 (* v v))))))) t)) (/ (/ (sqrt 1) (cbrt (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2))))) (cbrt (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (* (cbrt (sqrt (+ 2 (* (* (* 3 v) (* (- v) 2)) (* (* 3 (* v v)) (* 3 (* v v))))))) t)) (/ (/ (sqrt 1) (cbrt (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2))))) (cbrt (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2)))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))) (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt 1) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))) (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))))) * * * * [misc]progress: [ 836 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt 1) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (/ t (sqrt 1))) (sqrt (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2))))) (* (cbrt (sqrt (+ (* (* (- v) (* (* 3 v) 2)) (* (* 3 (* v v)) (* 3 (* v v)))) 2))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (/ t (sqrt 1))) (sqrt (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2))))) (* (cbrt (sqrt (+ (* (* (- v) (* (* 3 v) 2)) (* (* 3 (* v v)) (* 3 (* v v)))) 2))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))) (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v)))))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt 1) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))) (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v)))))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))))) * * * * [misc]progress: [ 837 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt 1) 1))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (* (/ t (sqrt 1)) (cbrt (sqrt (+ (* (* 2 (* (* 3 v) (- v))) (* (* 3 (* v v)) (* 3 (* v v)))) 2))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (* (/ t (sqrt 1)) (cbrt (sqrt (+ (* (* 2 (* (* 3 v) (- v))) (* (* 3 (* v v)) (* 3 (* v v)))) 2))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (- 1 (* v v))) (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v)))))) (/ (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))) (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt 1) 1))) (/ (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (- 1 (* v v))) (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v)))))) (/ (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))) (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))))) * * * * [misc]progress: [ 838 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (* (cbrt (* (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2))) (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2))))) (* (/ t (sqrt (- 1 (* (* 5 v) v)))) (cbrt (sqrt (+ (* (* (* 3 (* v v)) (* 3 (* v v))) (* 2 (* (* 3 v) (- v)))) 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (* (cbrt (* (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2))) (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2))))) (* (/ t (sqrt (- 1 (* (* 5 v) v)))) (cbrt (sqrt (+ (* (* (* 3 (* v v)) (* 3 (* v v))) (* 2 (* (* 3 v) (- v)))) 2)))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * * [misc]simplify: iters left: 3 (420 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (- 1 (* v v)))) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (* (* (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (- 1 (* v v)))) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))))))) * * * * [misc]progress: [ 839 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (/ (* (cbrt (sqrt 2)) t) (sqrt (- 1 (* (* v v) 5))))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (cbrt (sqrt (+ (* (* 2 (* (* 3 v) (- v))) (* (* 3 (* v v)) (* 3 (* v v)))) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (/ (* (cbrt (sqrt 2)) t) (sqrt (- 1 (* (* v v) 5))))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (cbrt (sqrt (+ (* (* 2 (* (* 3 v) (- v))) (* (* 3 (* v v)) (* 3 (* v v)))) 2)))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * * [misc]simplify: iters left: 3 (378 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))) (/ (cbrt (sqrt (- 1 (* (* 3 v) v)))) (/ (sqrt (/ 1 PI)) (- 1 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt 2))))) (* (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))) (/ (cbrt (sqrt (- 1 (* (* 3 v) v)))) (/ (sqrt (/ 1 PI)) (- 1 (* v v)))))))) * * * * [misc]progress: [ 840 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (/ t (sqrt (- 1 (* (* v v) 5))))) (cbrt (sqrt (sqrt (* (- 1 (* 3 (* v v))) 2))))) (* (cbrt (sqrt (+ (* (* (- v) (* (* 3 v) 2)) (* (* 3 (* v v)) (* 3 (* v v)))) 2))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (/ t (sqrt (- 1 (* (* v v) 5))))) (cbrt (sqrt (sqrt (* (- 1 (* 3 (* v v))) 2))))) (* (cbrt (sqrt (+ (* (* (- v) (* (* 3 v) 2)) (* (* 3 (* v v)) (* 3 (* v v)))) 2))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * * [misc]simplify: iters left: 3 (420 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (- 1 (* v v)))) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (* (* (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (- 1 (* v v)))) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))))))) * * * * [misc]progress: [ 841 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (176 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) t) (/ (sqrt (- 1 (* (* v v) 5))) (cbrt 1))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (cbrt (sqrt (+ 2 (* (* (* (- v) (* 3 v)) (* 3 (* v v))) (* (* 3 (* v v)) 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) t) (/ (sqrt (- 1 (* (* v v) 5))) (cbrt 1))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (cbrt (sqrt (+ 2 (* (* (* (- v) (* 3 v)) (* 3 (* v v))) (* (* 3 (* v v)) 2)))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * * [misc]simplify: iters left: 3 (419 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt 1)))) (/ (* (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))))))) * * * * [misc]progress: [ 842 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (* (cbrt (sqrt (+ 2 (* (* (* 3 v) (* (- v) 2)) (* (* 3 (* v v)) (* 3 (* v v))))))) t)) (/ (/ (sqrt (- 1 (* (* 5 v) v))) (cbrt (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2))))) (cbrt (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (* (cbrt (sqrt (+ 2 (* (* (* 3 v) (* (- v) 2)) (* (* 3 (* v v)) (* 3 (* v v))))))) t)) (/ (/ (sqrt (- 1 (* (* 5 v) v))) (cbrt (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2))))) (cbrt (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2)))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * * [misc]simplify: iters left: 3 (420 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (- 1 (* v v)))) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (* (* (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (- 1 (* v v)))) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))))))) * * * * [misc]progress: [ 843 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (/ t (sqrt (- 1 (* (* v v) 5))))) (sqrt (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2))))) (* (cbrt (sqrt (+ (* (* (- v) (* (* 3 v) 2)) (* (* 3 (* v v)) (* 3 (* v v)))) 2))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (/ t (sqrt (- 1 (* (* v v) 5))))) (sqrt (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2))))) (* (cbrt (sqrt (+ (* (* (- v) (* (* 3 v) 2)) (* (* 3 (* v v)) (* 3 (* v v)))) 2))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * * [misc]simplify: iters left: 3 (420 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (- 1 (* v v)))) (/ (sqrt (/ 1 PI)) (sqrt (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (* (* (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (- 1 (* v v)))) (/ (sqrt (/ 1 PI)) (sqrt (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v)))))))))) * * * * [misc]progress: [ 844 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) 1))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (* (/ t (sqrt (- 1 (* (* v v) 5)))) (cbrt (sqrt (+ (* (* 2 (* (* 3 v) (- v))) (* (* 3 (* v v)) (* 3 (* v v)))) 2))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (* (/ t (sqrt (- 1 (* (* v v) 5)))) (cbrt (sqrt (+ (* (* 2 (* (* 3 v) (- v))) (* (* 3 (* v v)) (* 3 (* v v)))) 2))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * * [misc]simplify: iters left: 3 (419 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) 1))) (/ (* (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))))))) * * * * [misc]progress: [ 845 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (* (cbrt (* (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2))) (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2))))) (* (/ t (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (sqrt (+ (* (* (* 3 (* v v)) (* 3 (* v v))) (* 2 (* (* 3 v) (- v)))) 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (* (cbrt (* (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2))) (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2))))) (* (/ t (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (sqrt (+ (* (* (* 3 (* v v)) (* 3 (* v v))) (* 2 (* (* 3 v) (- v)))) 2)))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* 3 v) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (* (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* 3 v) v)))))))) * * * * [misc]progress: [ 846 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (* (cbrt (sqrt 2)) t)) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (cbrt (sqrt (+ (* (* 2 (* (* 3 v) (- v))) (* (* 3 (* v v)) (* 3 (* v v)))) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (* (cbrt (sqrt 2)) t)) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (cbrt (sqrt (+ (* (* 2 (* (* 3 v) (- v))) (* (* 3 (* v v)) (* 3 (* v v)))) 2)))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * * [misc]simplify: iters left: 3 (435 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt 2))))) (/ (* (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))))))) * * * * [misc]progress: [ 847 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (/ t (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) (cbrt (sqrt (sqrt (* (- 1 (* 3 (* v v))) 2))))) (* (cbrt (sqrt (+ (* (* (- v) (* (* 3 v) 2)) (* (* 3 (* v v)) (* 3 (* v v)))) 2))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (/ t (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) (cbrt (sqrt (sqrt (* (- 1 (* 3 (* v v))) 2))))) (* (cbrt (sqrt (+ (* (* (- v) (* (* 3 v) 2)) (* (* 3 (* v v)) (* 3 (* v v)))) 2))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* 3 v) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (* (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* 3 v) v)))))))) * * * * [misc]progress: [ 848 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (176 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (* (cbrt 1) t)) (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (cbrt (sqrt (+ 2 (* (* (* (- v) (* 3 v)) (* 3 (* v v))) (* (* 3 (* v v)) 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (* (cbrt 1) t)) (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (cbrt (sqrt (+ 2 (* (* (* (- v) (* 3 v)) (* 3 (* v v))) (* (* 3 (* v v)) 2)))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (/ (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt 1)))) (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (/ (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))))))) * * * * [misc]progress: [ 849 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (* (cbrt (sqrt (+ 2 (* (* (* 3 v) (* (- v) 2)) (* (* 3 (* v v)) (* 3 (* v v))))))) t)) (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2))))) (cbrt (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (* (cbrt (sqrt (+ 2 (* (* (* 3 v) (* (- v) 2)) (* (* 3 (* v v)) (* 3 (* v v))))))) t)) (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2))))) (cbrt (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2)))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* 3 v) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (* (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* 3 v) v)))))))) * * * * [misc]progress: [ 850 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (/ t (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) (sqrt (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2))))) (* (cbrt (sqrt (+ (* (* (- v) (* (* 3 v) 2)) (* (* 3 (* v v)) (* 3 (* v v)))) 2))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (/ t (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) (sqrt (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2))))) (* (cbrt (sqrt (+ (* (* (- v) (* (* 3 v) 2)) (* (* 3 (* v v)) (* 3 (* v v)))) 2))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* 3 v) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (* (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* 3 v) v)))))))) * * * * [misc]progress: [ 851 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) 1))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (* (/ t (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (cbrt (sqrt (+ (* (* 2 (* (* 3 v) (- v))) (* (* 3 (* v v)) (* 3 (* v v)))) 2))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (* (/ t (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (cbrt (sqrt (+ (* (* 2 (* (* 3 v) (- v))) (* (* 3 (* v v)) (* 3 (* v v)))) 2))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (/ (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) 1))) (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (/ (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))))))) * * * * [misc]progress: [ 852 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ 1 (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (* (* (cbrt (sqrt (+ 2 (* (* (* 3 (* v v)) (* 3 (* v v))) (* (* 3 (- v)) (* v 2)))))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (cbrt (* (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2))) (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (* (* (cbrt (sqrt (+ 2 (* (* (* 3 (* v v)) (* 3 (* v v))) (* (* 3 (- v)) (* v 2)))))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (cbrt (* (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2))) (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))) (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ 1 (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))) (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))))) * * * * [misc]progress: [ 853 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ 1 (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (175 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (* (cbrt (sqrt 2)) t)) (* (cbrt (sqrt (+ 2 (* (* 2 (* 3 (* v v))) (* (* (- v) (* 3 v)) (* 3 (* v v))))))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (* (cbrt (sqrt 2)) t)) (* (cbrt (sqrt (+ 2 (* (* 2 (* 3 (* v v))) (* (* (- v) (* 3 v)) (* 3 (* v v))))))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * * [misc]simplify: iters left: 3 (436 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (/ (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ 1 (cbrt (sqrt 2))))) (* (/ (cbrt (sqrt (+ 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (/ (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))))) * * * * [misc]progress: [ 854 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ 1 (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) t) (cbrt (sqrt (sqrt (* (- 1 (* 3 (* v v))) 2))))) (* (cbrt (sqrt (+ (* (* (* 2 (- v)) (* 3 v)) (* (* 3 (* v v)) (* 3 (* v v)))) 2))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) t) (cbrt (sqrt (sqrt (* (- 1 (* 3 (* v v))) 2))))) (* (cbrt (sqrt (+ (* (* (* 2 (- v)) (* 3 v)) (* (* 3 (* v v)) (* 3 (* v v)))) 2))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))) (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v)))))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ 1 (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))) (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v)))))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))))) * * * * [misc]progress: [ 855 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ 1 (cbrt 1)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (174 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (* t (cbrt 1))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (cbrt (sqrt (+ (* (* 2 (* (* v v) (- 3))) (* (* 3 (* v v)) (* 3 (* v v)))) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (* t (cbrt 1))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (cbrt (sqrt (+ (* (* 2 (* (* v v) (- 3))) (* (* 3 (* v v)) (* 3 (* v v)))) 2)))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (- 1 (* v v))) (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v)))))) (/ (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))) (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ 1 (cbrt 1)))) (/ (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (- 1 (* v v))) (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v)))))) (/ (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))) (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))))) * * * * [misc]progress: [ 856 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ 1 (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (* (* (cbrt (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2)))) (cbrt (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2))))) (* (cbrt (sqrt (+ (* (* (* 3 v) (* (- v) 2)) (* (* 3 (* v v)) (* 3 (* v v)))) 2))) t))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (* (* (cbrt (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2)))) (cbrt (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2))))) (* (cbrt (sqrt (+ (* (* (* 3 v) (* (- v) 2)) (* (* 3 (* v v)) (* 3 (* v v)))) 2))) t))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))) (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ 1 (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))) (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))))) * * * * [misc]progress: [ 857 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ 1 (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) t) (sqrt (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2))))) (* (cbrt (sqrt (+ (* (* (* 2 (- v)) (* 3 v)) (* (* 3 (* v v)) (* 3 (* v v)))) 2))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) t) (sqrt (cbrt (sqrt (* (- 1 (* 3 (* v v))) 2))))) (* (cbrt (sqrt (+ (* (* (* 2 (- v)) (* 3 v)) (* (* 3 (* v v)) (* 3 (* v v)))) 2))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))) (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v)))))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ 1 (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))) (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v)))))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))))) * * * * [misc]progress: [ 858 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ 1 1))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (421 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (* (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (* (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))) t)) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (- 1 (* v v))) (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v)))))) (/ (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))) (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (* (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))) t)) (/ (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (- 1 (* v v))) (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v)))))) (/ (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))) (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))))) * * * * [misc]progress: [ 859 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t 1)) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (152 enodes) * * [misc]simplify: iters left: 3 (418 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (- 1 (* v v))) (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v)))))) (/ (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))) (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t 1)) (/ (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (- 1 (* v v))) (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v)))))) (/ (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))) (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))))) * * * * [misc]progress: [ 860 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (sqrt (/ (- 1 (* (* v v) 5)) PI)))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (463 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 PI) (/ (* v v) (/ PI 5))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (- (/ 1 PI) (/ (* v v) (/ PI 5))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) t)) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (174 enodes) * * [misc]simplify: iters left: 3 (444 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3))))) (/ (* (- 1 (* v v)) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (+ 1 (* (* v v) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (- (/ 1 PI) (/ (* v v) (/ PI 5))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) t)) (/ (cbrt (sqrt (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3))))) (/ (* (- 1 (* v v)) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 861 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3)))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (/ t (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (cbrt (sqrt (+ (* (* 2 (* 3 (* v v))) (* (* (* v v) (- 3)) (* 3 (* v v)))) 2)))) (* (cbrt (sqrt (+ (* (* 2 (* 3 (* v v))) (* (* (* v v) (- 3)) (* 3 (* v v)))) 2))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (/ t (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (cbrt (sqrt (+ (* (* 2 (* 3 (* v v))) (* (* (* v v) (- 3)) (* 3 (* v v)))) 2)))) (* (cbrt (sqrt (+ (* (* 2 (* 3 (* v v))) (* (* (* v v) (- 3)) (* 3 (* v v)))) 2))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (256 enodes) * * [misc]simplify: iters left: 2 (494 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (+ (* (* 3 v) v) 1) (* (* (* 3 v) v) (* (* 3 v) v))))) (cbrt (sqrt (+ (+ (* (* 3 v) v) 1) (* (* (* 3 v) v) (* (* 3 v) v)))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (* (* 3 v) v) 1))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3)))))))) (/ (* (cbrt (sqrt (+ (+ (* (* 3 v) v) 1) (* (* (* 3 v) v) (* (* 3 v) v))))) (cbrt (sqrt (+ (+ (* (* 3 v) v) 1) (* (* (* 3 v) v) (* (* 3 v) v)))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (* (* 3 v) v) 1))))))) * * * * [misc]progress: [ 862 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (/ t (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (* (cbrt (sqrt (+ (* (* 2 (* 3 (* v v))) (* (* 3 (* v v)) (* (* v v) (- 3)))) 2))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (/ t (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (* (cbrt (sqrt (+ (* (* 2 (* 3 (* v v))) (* (* 3 (* v v)) (* (* v v) (- 3)))) 2))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* v 3) v)))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* v 3) v)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (257 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* 3 v) v)))))) (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v))))))))) (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* 3 v) v)))))) (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v)))))))) * * * * [misc]progress: [ 863 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) 1) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (152 enodes) * * [misc]simplify: iters left: 3 (410 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (* t (- 1 (* v v)))) (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v)))))) (/ (cbrt (sqrt (* (- 1 (* (* 3 v) v)) 2))) (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) 1) (/ (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (* t (- 1 (* v v)))) (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v)))))) (/ (cbrt (sqrt (* (- 1 (* (* 3 v) v)) 2))) (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))))))) * * * * [misc]progress: [ 864 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (* t (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (175 enodes) * * [misc]simplify: iters left: 3 (474 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (- t (* (* v v) t))) (cbrt (sqrt (- 2 (* (* 3 (* v v)) (* (* v v) (* 3 2))))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (- t (* (* v v) t))) (cbrt (sqrt (- 2 (* (* 3 (* v v)) (* (* v v) (* 3 2))))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ 1 (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (/ 1 (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * * [misc]simplify: iters left: 3 (437 enodes) * [exit]simplify: Simplified to (* (* (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (+ 1 (* 3 (* v v)))))) (/ (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (* t (- 1 (* v v)))) (* (* (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (+ 1 (* 3 (* v v)))))) (/ (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))))) * * * * [misc]progress: [ 865 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ (* t (- 1 (* v v))) (sqrt (/ (- 1 (* (* v v) 5)) PI)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (* (/ (* t (- 1 (* v v))) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (+ (* (* (* 3 (* v v)) (* 3 (* v v))) (* (* (* 3 v) (- v)) 2)) 2))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (* (/ (* t (- 1 (* v v))) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (+ (* (* (* 3 (* v v)) (* 3 (* v v))) (* (* (* 3 v) (- v)) 2)) 2))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v))))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (276 enodes) * * [misc]simplify: iters left: 2 (483 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ (* t (- 1 (* v v))) (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (* (cbrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v))))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (- 2 (* (* 3 2) (* v v))))))))) * * * * [misc]progress: [ 866 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (* (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (153 enodes) * * [misc]simplify: iters left: 3 (330 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (* (cbrt (* (/ (- t (* (* t v) v)) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (cbrt (* (/ (- t (* (* t v) v)) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (* (cbrt (* (/ (- t (* (* t v) v)) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (cbrt (* (/ (- t (* (* t v) v)) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (390 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (cbrt (/ (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))) (- t (* v (* v t))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (* (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (* (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (cbrt (/ (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))) (- t (* v (* v t))))))))) * * * * [misc]progress: [ 867 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (145 enodes) * * [misc]simplify: iters left: 3 (312 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (* (sqrt (* (/ (- t (* (* t v) v)) (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (* (cbrt (sqrt (- 2 (* (* (* 2 3) (* v v)) (* 3 (* v v)))))) (cbrt (sqrt (- 2 (* (* (* 2 3) (* v v)) (* 3 (* v v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (* (sqrt (* (/ (- t (* (* t v) v)) (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (* (cbrt (sqrt (- 2 (* (* (* 2 3) (* v v)) (* 3 (* v v)))))) (cbrt (sqrt (- 2 (* (* (* 2 3) (* v v)) (* 3 (* v v))))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (390 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (sqrt (/ (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))) (- t (* v (* v t))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (* (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (sqrt (/ (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))) (- t (* v (* v t))))))))) * * * * [misc]progress: [ 868 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * * [misc]simplify: iters left: 3 (316 enodes) * [exit]simplify: Simplified to (* (* (cbrt (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (cbrt (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) t) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (* (cbrt (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (cbrt (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) t) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (181 enodes) * * [misc]simplify: iters left: 2 (323 enodes) * * [misc]simplify: iters left: 1 (469 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (* (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (* (cbrt (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (* (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 869 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (286 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (/ (sqrt (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (/ (sqrt (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) t)) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (181 enodes) * * [misc]simplify: iters left: 2 (323 enodes) * * [misc]simplify: iters left: 1 (469 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (* (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (* (sqrt (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (* (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 870 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * * [misc]simplify: iters left: 3 (392 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (* (/ t (* (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (* (/ t (* (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (- 1 (* v v))) (/ (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (* (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (- 1 (* v v))) (/ (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))))) * * * * [misc]progress: [ 871 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (368 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (* (cbrt (sqrt 2)) t)) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (/ (* (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (* (cbrt (sqrt 2)) t)) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (/ (* (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (446 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (- 1 (* v v))) (/ (cbrt (sqrt (- 1 (* (* 3 v) v)))) (* (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt 2))))) (/ (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (- 1 (* v v))) (/ (cbrt (sqrt (- 1 (* (* 3 v) v)))) (* (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))))))) * * * * [misc]progress: [ 872 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (391 enodes) * [exit]simplify: Simplified to (* (/ (/ (* (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (cbrt (sqrt (- 2 (* (* (* 2 3) (* v v)) (* 3 (* v v))))))) (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* (* 2 3) (* v v)) (* 3 (* v v))))))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (* (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (cbrt (sqrt (- 2 (* (* (* 2 3) (* v v)) (* 3 (* v v))))))) (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* (* 2 3) (* v v)) (* 3 (* v v))))))) t)) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (- 1 (* v v))) (/ (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (* (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (- 1 (* v v))) (/ (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))))) * * * * [misc]progress: [ 873 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (369 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (* t (cbrt 1)))) (* (cbrt (sqrt (- 2 (* (* (* v v) (* 3 2)) (* 3 (* v v)))))) (cbrt (sqrt (- 2 (* (* (* v v) (* 3 2)) (* 3 (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (* (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (* t (cbrt 1)))) (* (cbrt (sqrt (- 2 (* (* (* v v) (* 3 2)) (* 3 (* v v)))))) (cbrt (sqrt (- 2 (* (* (* v v) (* 3 2)) (* 3 (* v v)))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt 1)))) (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))))))) * * * * [misc]progress: [ 874 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * * [misc]simplify: iters left: 3 (486 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) t) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) (* (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) t) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) (* (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (- 1 (* v v))) (/ (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (* (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (- 1 (* v v))) (/ (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))))) * * * * [misc]progress: [ 875 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (391 enodes) * [exit]simplify: Simplified to (* (/ (/ (* (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (sqrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (cbrt (sqrt (- 2 (* (* (* 2 3) (* v v)) (* 3 (* v v))))))) (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* (* 2 3) (* v v)) (* 3 (* v v))))))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (* (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (sqrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (cbrt (sqrt (- 2 (* (* (* 2 3) (* v v)) (* 3 (* v v))))))) (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* (* 2 3) (* v v)) (* 3 (* v v))))))) t)) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (- 1 (* v v))) (/ (sqrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (* (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (- 1 (* v v))) (/ (sqrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))))) * * * * [misc]progress: [ 876 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) 1))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (323 enodes) * [exit]simplify: Simplified to (/ (* (* (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) t) (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (* (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) t) (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) 1))) (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))))))) * * * * [misc]progress: [ 877 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * * [misc]simplify: iters left: 3 (349 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) (/ (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) (/ (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (- 1 (* v v))) (/ (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (sqrt (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) (/ (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))))) (/ (/ (* (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (- 1 (* v v))) (/ (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (sqrt (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))))) * * * * [misc]progress: [ 878 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (322 enodes) * [exit]simplify: Simplified to (/ (/ (* (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (* t (cbrt (sqrt 2))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (* t (cbrt (sqrt 2))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (446 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (- 1 (* v v))) (/ (cbrt (sqrt (- 1 (* (* 3 v) v)))) (* (sqrt (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (* t (cbrt (sqrt 2))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (/ (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (- 1 (* v v))) (/ (cbrt (sqrt (- 1 (* (* 3 v) v)))) (* (sqrt (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))))))) * * * * [misc]progress: [ 879 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * * [misc]simplify: iters left: 3 (344 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) t) (fabs (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) t) (fabs (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (- 1 (* v v))) (/ (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (sqrt (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) t) (fabs (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) (/ (/ (* (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (- 1 (* v v))) (/ (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (sqrt (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))))) * * * * [misc]progress: [ 880 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (324 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (* (cbrt 1) t)) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (* (cbrt 1) t)) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (* (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (* (cbrt 1) t)) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (/ (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))))))) * * * * [misc]progress: [ 881 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * * [misc]simplify: iters left: 3 (391 enodes) * [exit]simplify: Simplified to (/ (/ (/ (* (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (* (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (* (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) t))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (* (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (* (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (* (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) t))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (- 1 (* v v))) (/ (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (sqrt (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (* (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (* (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (* (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) t))) (/ (/ (* (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (- 1 (* v v))) (/ (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (sqrt (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))))) * * * * [misc]progress: [ 882 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * * [misc]simplify: iters left: 3 (344 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) t) (fabs (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) t) (fabs (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (- 1 (* v v))) (/ (sqrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (sqrt (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) t) (fabs (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) (/ (/ (* (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (- 1 (* v v))) (/ (sqrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (sqrt (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))))) * * * * [misc]progress: [ 883 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) 1))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (287 enodes) * [exit]simplify: Simplified to (/ (/ (* (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (- 2 (* (* (* 2 3) (* v v)) (* 3 (* v v))))))) (* (cbrt (sqrt (- 2 (* (* (* 2 3) (* v v)) (* 3 (* v v)))))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (- 2 (* (* (* 2 3) (* v v)) (* 3 (* v v))))))) (* (cbrt (sqrt (- 2 (* (* (* 2 3) (* v v)) (* 3 (* v v)))))) t)) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (- 2 (* (* (* 2 3) (* v v)) (* 3 (* v v))))))) (* (cbrt (sqrt (- 2 (* (* (* 2 3) (* v v)) (* 3 (* v v)))))) t)) (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))))))) * * * * [misc]progress: [ 884 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (342 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (* (/ t (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (* (/ t (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (- 1 (* v v))) (/ (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (* (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (- 1 (* v v))) (/ (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))))) * * * * [misc]progress: [ 885 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (322 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (* t (cbrt (sqrt 2)))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (* t (cbrt (sqrt 2)))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (446 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (- 1 (* v v))) (/ (cbrt (sqrt (- 1 (* (* 3 v) v)))) (* (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt 2))))) (/ (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (- 1 (* v v))) (/ (cbrt (sqrt (- 1 (* (* 3 v) v)))) (* (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))))))) * * * * [misc]progress: [ 886 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (341 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) t) (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) t) (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (- 1 (* v v))) (/ (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (* (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (- 1 (* v v))) (/ (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))))) * * * * [misc]progress: [ 887 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * * [misc]simplify: iters left: 3 (319 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (* (cbrt 1) t)) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (* (cbrt 1) t)) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt 1)))) (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))))))) * * * * [misc]progress: [ 888 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (385 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (* (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (/ (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) t) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (* (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (/ (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) t) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (- 1 (* v v))) (/ (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (* (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (- 1 (* v v))) (/ (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))))) * * * * [misc]progress: [ 889 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (341 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) t) (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) (sqrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) t) (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) (sqrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (- 1 (* v v))) (/ (sqrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (* (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (- 1 (* v v))) (/ (sqrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))))) * * * * [misc]progress: [ 890 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) 1))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (291 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) t) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) t) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) t) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))))))) * * * * [misc]progress: [ 891 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt 1) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (342 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (* (/ t (sqrt 1)) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (* (/ t (sqrt 1)) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (* (/ t (sqrt 1)) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))))) (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))))) * * * * [misc]progress: [ 892 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt 1) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (322 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (/ (sqrt 1) (cbrt (sqrt 2)))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (/ (sqrt 1) (cbrt (sqrt 2)))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) t)) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (212 enodes) * * [misc]simplify: iters left: 2 (446 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (/ (sqrt 1) (cbrt (sqrt 2)))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) t)) (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))))) * * * * [misc]progress: [ 893 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt 1) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (341 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (/ t (sqrt 1))) (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (/ t (sqrt 1))) (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (/ t (sqrt 1))) (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))))) * * * * [misc]progress: [ 894 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt 1) (cbrt 1)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * * [misc]simplify: iters left: 3 (319 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (* (cbrt 1) t)) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (/ (sqrt 1) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (* (cbrt 1) t)) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (/ (sqrt 1) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (240 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (* (cbrt 1) t)) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (/ (sqrt 1) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) (/ (* (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 895 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt 1) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (385 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 1) (* (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (/ (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) t) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt 1) (* (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (/ (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) t) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt 1) (* (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (/ (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) t) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))))) (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))))) * * * * [misc]progress: [ 896 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt 1) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (341 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (/ t (sqrt 1))) (sqrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (/ t (sqrt 1))) (sqrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (sqrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (/ t (sqrt 1))) (sqrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (sqrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))))) * * * * [misc]progress: [ 897 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt 1) 1))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (291 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (/ t (sqrt 1))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (/ t (sqrt 1))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (240 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (/ t (sqrt 1))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) (/ (* (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 898 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (342 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (* (/ t (sqrt (- 1 (* (* v v) 5)))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (* (/ t (sqrt (- 1 (* (* v v) 5)))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (440 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (/ 1 PI)))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (* (/ t (sqrt (- 1 (* (* v v) 5)))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))))) (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (/ 1 PI)))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))))) * * * * [misc]progress: [ 899 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (322 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt 2)))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt 2)))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) t)) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * * [misc]simplify: iters left: 2 (353 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (/ 1 PI)))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (- 1 (* (* 3 v) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt 2)))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) t)) (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (/ 1 PI)))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (- 1 (* (* 3 v) v)))))))) * * * * [misc]progress: [ 900 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (341 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (/ t (sqrt (- 1 (* (* 5 v) v))))) (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (/ t (sqrt (- 1 (* (* 5 v) v))))) (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (440 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (/ 1 PI)))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (/ t (sqrt (- 1 (* (* 5 v) v))))) (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (/ 1 PI)))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))))) * * * * [misc]progress: [ 901 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * * [misc]simplify: iters left: 3 (319 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (* (cbrt 1) t)) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (* (cbrt 1) t)) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (188 enodes) * * [misc]simplify: iters left: 2 (447 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (/ 1 PI))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (* (cbrt 1) t)) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (/ 1 PI))))))) * * * * [misc]progress: [ 902 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (385 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 (* (* v v) 5))) (* (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (/ (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) t) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- 1 (* (* v v) 5))) (* (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (/ (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) t) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (440 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (/ 1 PI)))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- 1 (* (* v v) 5))) (* (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (/ (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) t) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))))) (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (/ 1 PI)))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))))) * * * * [misc]progress: [ 903 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (341 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (/ t (sqrt (- 1 (* (* 5 v) v))))) (sqrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (/ t (sqrt (- 1 (* (* 5 v) v))))) (sqrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (440 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (/ 1 PI)))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (/ t (sqrt (- 1 (* (* 5 v) v))))) (sqrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (/ 1 PI)))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))))) * * * * [misc]progress: [ 904 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) 1))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (291 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) t) (sqrt (- 1 (* (* v v) 5)))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) t) (sqrt (- 1 (* (* v v) 5)))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (188 enodes) * * [misc]simplify: iters left: 2 (447 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (/ 1 PI))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) t) (sqrt (- 1 (* (* v v) 5)))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (/ 1 PI))))))) * * * * [misc]progress: [ 905 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (342 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (* (/ t (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (* (/ t (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (- 1 (* v v))) (/ (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (* (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (- 1 (* v v))) (/ (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))))) * * * * [misc]progress: [ 906 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (322 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (* t (cbrt (sqrt 2)))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (* t (cbrt (sqrt 2)))) (sqrt (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (446 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (- 1 (* v v))) (/ (cbrt (sqrt (- 1 (* (* 3 v) v)))) (* (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt 2))))) (/ (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (- 1 (* v v))) (/ (cbrt (sqrt (- 1 (* (* 3 v) v)))) (* (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))))))) * * * * [misc]progress: [ 907 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (341 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) t) (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) t) (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (- 1 (* v v))) (/ (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (* (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (- 1 (* v v))) (/ (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))))) * * * * [misc]progress: [ 908 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * * [misc]simplify: iters left: 3 (319 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (* (cbrt 1) t)) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (* (cbrt 1) t)) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt 1)))) (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))))))) * * * * [misc]progress: [ 909 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (385 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (* (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (/ (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) t) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (* (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (/ (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) t) (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (- 1 (* v v))) (/ (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (* (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (- 1 (* v v))) (/ (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))))) * * * * [misc]progress: [ 910 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (341 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) t) (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) (sqrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) t) (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) (sqrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (- 1 (* v v))) (/ (sqrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (* (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (- 1 (* v v))) (/ (sqrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))))) * * * * [misc]progress: [ 911 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) 1))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (291 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) t) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) t) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) t) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))))))) * * * * [misc]progress: [ 912 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ 1 (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * * [misc]simplify: iters left: 3 (327 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) (* (cbrt (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) (* (cbrt (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) t)) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) (* (cbrt (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) t)) (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))))) * * * * [misc]progress: [ 913 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ 1 (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (304 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (* (* t (cbrt (sqrt 2))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (* (* t (cbrt (sqrt 2))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (212 enodes) * * [misc]simplify: iters left: 2 (446 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (* (* t (cbrt (sqrt 2))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))))))) * * * * [misc]progress: [ 914 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ 1 (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (137 enodes) * * [misc]simplify: iters left: 3 (327 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) t) (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) t) (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) t) (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))))) * * * * [misc]progress: [ 915 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ 1 (cbrt 1)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * * [misc]simplify: iters left: 3 (302 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (* t (cbrt 1))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (* t (cbrt 1))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (240 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (* t (cbrt 1))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (/ (* (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 916 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ 1 (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (364 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) t) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) (* (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) t) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) (* (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) t) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) (* (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))))) * * * * [misc]progress: [ 917 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ 1 (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (137 enodes) * * [misc]simplify: iters left: 3 (327 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) t) (sqrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) t) (sqrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (sqrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) t) (sqrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (sqrt (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))))) * * * * [misc]progress: [ 918 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ 1 1))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) t)) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (240 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) t)) (/ (* (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 919 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t 1)) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (225 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) t)) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (240 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) t)) (/ (* (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))))) * * * * [misc]progress: [ 920 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (sqrt (/ (- 1 (* (* v v) 5)) PI)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (257 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 PI) (/ (* 5 v) (/ PI v))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (- (/ 1 PI) (/ (* 5 v) (/ PI v))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) t)) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (209 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (- (/ 1 PI) (/ (* 5 v) (/ PI v))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) t)) (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (- 1 (* v v)))))) * * * * [misc]progress: [ 921 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3)))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (/ t (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (sqrt (+ (* (* 2 (* (* 3 v) (- v))) (* (* 3 (* v v)) (* 3 (* v v)))) 2)))) (* (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (/ t (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (sqrt (+ (* (* 2 (* (* 3 v) (- v))) (* (* 3 (* v v)) (* 3 (* v v)))) 2)))) (* (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))) (cbrt (sqrt (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * * [misc]simplify: iters left: 3 (312 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ (* (* 3 v) v) 1)))) (cbrt (sqrt (+ (* (* 3 v) v) 1)))) (/ (cbrt (sqrt (+ (* (* 3 v) v) 1))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3)))))))) (* (* (cbrt (sqrt (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ (* (* 3 v) v) 1)))) (cbrt (sqrt (+ (* (* 3 v) v) 1)))) (/ (cbrt (sqrt (+ (* (* 3 v) v) 1))) (- 1 (* v v)))))) * * * * [misc]progress: [ 922 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (301 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (* (/ t (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (* (/ t (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* v 3) v)))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* v 3) v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 (* (* 3 v) v))) (- 1 (* v v))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (* (/ t (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (/ (sqrt (+ 1 (* (* 3 v) v))) (- 1 (* v v))))) * * * * [misc]progress: [ 923 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) 1) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (319 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (* (/ (- t (* (* v t) v)) (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) (/ (* (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (* (/ (- t (* (* v t) v)) (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))))) * * * * [misc]progress: [ 924 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (* t (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (275 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (* (- t (* (* t v) v)) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (* (- t (* (* t v) v)) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ 1 (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (/ 1 (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (* (- t (* (* t v) v)) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) (* (* (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))))))) * * * * [misc]progress: [ 925 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ (* t (- 1 (* v v))) (sqrt (/ (- 1 (* (* v v) 5)) PI)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (345 enodes) * [exit]simplify: Simplified to (/ (/ (/ (- (/ 1 PI) (* (* v v) (/ 5 PI))) (- t (* (* t v) v))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (- (/ 1 PI) (* (* v v) (/ 5 PI))) (- t (* (* t v) v))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (sqrt (+ 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (183 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (- (/ 1 PI) (* (* v v) (/ 5 PI))) (- t (* (* t v) v))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (/ (* (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (+ 1 (* (* 3 v) v))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * * * * [misc]progress: [ 926 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (* (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (176 enodes) * * [misc]simplify: iters left: 3 (465 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (* (/ (- t (* t (* v v))) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) (* (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (* (/ (- t (* t (* v v))) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (* (/ (- t (* t (* v v))) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) (* (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (* (/ (- t (* t (* v v))) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))))) (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * * [misc]simplify: iters left: 3 (399 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v))))) (cbrt (* (/ (- t (* v (* v t))) (sqrt (- (/ 1 PI) (* (* v 5) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (* (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (cbrt (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v))))) (cbrt (* (/ (- t (* v (* v t))) (sqrt (- (/ 1 PI) (* (* v 5) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))))))) * * * * [misc]progress: [ 927 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * * [misc]simplify: iters left: 3 (463 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (sqrt (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (/ (- t (* v (* v t))) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (sqrt (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (/ (- t (* v (* v t))) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))))) (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * * [misc]simplify: iters left: 3 (399 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v))))) (sqrt (* (/ (- t (* v (* v t))) (sqrt (- (/ 1 PI) (* (* v 5) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (cbrt (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v))))) (sqrt (* (/ (- t (* v (* v t))) (sqrt (- (/ 1 PI) (* (* v 5) (/ v PI))))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))))))) * * * * [misc]progress: [ 928 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * * [misc]simplify: iters left: 3 (470 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (cbrt (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ t (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (cbrt (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (cbrt (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ t (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))))) (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (175 enodes) * * [misc]simplify: iters left: 3 (369 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (* (* (* v v) 3) (* (* v v) 3)) (+ 1 (* (* v v) 3))))) (- 1 (* v v))) (cbrt (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (* (/ (cbrt (sqrt (+ (* (* (* v v) 3) (* (* v v) 3)) (+ 1 (* (* v v) 3))))) (- 1 (* v v))) (cbrt (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))))))) * * * * [misc]progress: [ 929 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (432 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (/ (* t (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))) (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (/ (* t (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))) (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))) (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (175 enodes) * * [misc]simplify: iters left: 3 (369 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (* (* (* v v) 3) (* (* v v) 3)) (+ 1 (* (* v v) 3))))) (- 1 (* v v))) (sqrt (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (* (/ (cbrt (sqrt (+ (* (* (* v v) 3) (* (* v v) 3)) (+ 1 (* (* v v) 3))))) (- 1 (* v v))) (sqrt (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))))))) * * * * [misc]progress: [ 930 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (* t (cbrt (sqrt (+ (* (* (* 2 (* 3 v)) (- v)) (* (* (* 3 v) v) (* (* 3 v) v))) 2))))) (/ (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (* t (cbrt (sqrt (+ (* (* (* 2 (* 3 v)) (- v)) (* (* (* 3 v) v) (* (* 3 v) v))) 2))))) (/ (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * * [misc]simplify: iters left: 3 (413 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (- 1 (* v v))) (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (* (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (- 1 (* v v))) (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))))))) * * * * [misc]progress: [ 931 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (/ (* (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (cbrt (sqrt 2)))) (* (* t (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (cbrt (sqrt (+ (* (* (* 2 (* 3 v)) (- v)) (* (* (* 3 v) v) (* (* 3 v) v))) 2))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (/ (* (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (cbrt (sqrt 2)))) (* (* t (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (cbrt (sqrt (+ (* (* (* 2 (* 3 v)) (- v)) (* (* (* 3 v) v) (* (* 3 v) v))) 2))))) (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * * [misc]simplify: iters left: 3 (372 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (/ (- 1 (* v v)) (cbrt (sqrt (- (/ 1 PI) (/ (* v 5) (/ PI v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt 2))))) (/ (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (/ (- 1 (* v v)) (cbrt (sqrt (- (/ 1 PI) (/ (* v 5) (/ PI v))))))))) * * * * [misc]progress: [ 932 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (cbrt (sqrt (+ (* (* (* 2 (* 3 v)) (- v)) (* (* (* 3 v) v) (* (* 3 v) v))) 2)))) (* (cbrt (sqrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (/ (/ t (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (cbrt (sqrt (+ (* (* (* 2 (* 3 v)) (- v)) (* (* (* 3 v) v) (* (* 3 v) v))) 2)))) (* (cbrt (sqrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (/ (/ t (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))))) (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * * [misc]simplify: iters left: 3 (413 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (- 1 (* v v))) (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (sqrt (- 2 (* (* v 3) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (* (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (- 1 (* v v))) (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (sqrt (- 2 (* (* v 3) (* v 2)))))))))) * * * * [misc]progress: [ 933 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (172 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (* (cbrt (sqrt (+ 2 (* (* (* (- v) (* 3 v)) (* (* 3 v) v)) (* (* (* 3 v) v) 2))))) (/ (/ (* (cbrt 1) t) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (* (cbrt (sqrt (+ 2 (* (* (* (- v) (* 3 v)) (* (* 3 v) v)) (* (* (* 3 v) v) 2))))) (/ (/ (* (cbrt 1) t) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))))) (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * * [misc]simplify: iters left: 3 (393 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5))))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (/ (cbrt (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt 1)))) (* (/ (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5))))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (/ (cbrt (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 934 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (/ (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))))) (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (* t (cbrt (sqrt (+ 2 (* (* (* 2 (* 3 v)) (- v)) (* (* (* 3 v) v) (* (* 3 v) v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (* (/ (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (/ (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))))) (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (* t (cbrt (sqrt (+ 2 (* (* (* 2 (* 3 v)) (- v)) (* (* (* 3 v) v) (* (* 3 v) v))))))))) (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * * [misc]simplify: iters left: 3 (413 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (- 1 (* v v))) (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (* (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (- 1 (* v v))) (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))))))) * * * * [misc]progress: [ 935 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (172 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (cbrt (sqrt (+ 2 (* (* (* (- v) (* 3 v)) (* (* 3 v) v)) (* (* (* 3 v) v) 2)))))) (* (sqrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (/ (/ t (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (cbrt (sqrt (+ 2 (* (* (* (- v) (* 3 v)) (* (* 3 v) v)) (* (* (* 3 v) v) 2)))))) (* (sqrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (/ (/ t (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))))) (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * * [misc]simplify: iters left: 3 (413 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (- 1 (* v v))) (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (sqrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (* (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (- 1 (* v v))) (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (sqrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))))))) * * * * [misc]progress: [ 936 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) 1))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) t) (* (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (cbrt (sqrt (+ (* (* (* (* 3 v) v) (* (* 3 v) (- v))) (* (* (* 3 v) v) 2)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) t) (* (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (cbrt (sqrt (+ (* (* (* (* 3 v) v) (* (* 3 v) (- v))) (* (* (* 3 v) v) 2)) 2)))) (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * * [misc]simplify: iters left: 3 (393 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5))))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (/ (cbrt (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) 1))) (* (/ (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5))))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (/ (cbrt (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 937 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * * [misc]simplify: iters left: 3 (495 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (* (cbrt (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (/ t (fabs (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (* (cbrt (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (/ t (fabs (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))))) (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * * [misc]simplify: iters left: 3 (413 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (- 1 (* v v))) (/ (sqrt (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (* (cbrt (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (/ t (fabs (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))))) (* (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (- 1 (* v v))) (/ (sqrt (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))))))) * * * * [misc]progress: [ 938 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * * [misc]simplify: iters left: 3 (495 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (* (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))) (/ (* t (cbrt (sqrt 2))) (fabs (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (* (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))) (/ (* t (cbrt (sqrt 2))) (fabs (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))))) (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * * [misc]simplify: iters left: 3 (372 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (/ (* v 5) (/ PI v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (* (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))) (/ (* t (cbrt (sqrt 2))) (fabs (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))))) (/ (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (/ (* v 5) (/ PI v))))))))) * * * * [misc]progress: [ 939 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * * [misc]simplify: iters left: 3 (495 enodes) * [exit]simplify: Simplified to (/ (/ (* (fabs (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (* t (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (fabs (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (* t (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))))) (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * * [misc]simplify: iters left: 3 (413 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (- 1 (* v v))) (/ (sqrt (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (sqrt (- 2 (* (* v 3) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (fabs (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))) (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (* t (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))))) (* (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (- 1 (* v v))) (/ (sqrt (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (sqrt (- 2 (* (* v 3) (* v 2)))))))))) * * * * [misc]progress: [ 940 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (* t (cbrt 1))) (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (cbrt (sqrt (+ 2 (* (* (* 2 v) (- (* 3 v))) (* (* (* 3 v) v) (* (* 3 v) v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (* t (cbrt 1))) (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (cbrt (sqrt (+ 2 (* (* (* 2 v) (- (* 3 v))) (* (* (* 3 v) v) (* (* 3 v) v))))))) (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * * [misc]simplify: iters left: 3 (393 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* v 5))))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (/ (cbrt (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt 1)))) (* (/ (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* v 5))))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (/ (cbrt (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 941 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * [exit]simplify: Simplified to (* (/ (/ (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (* (cbrt (sqrt (+ (* (* (* (* 3 v) v) (* (* 3 v) v)) (* (* 2 v) (- (* 3 v)))) 2))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (* (cbrt (sqrt (+ (* (* (* (* 3 v) v) (* (* 3 v) v)) (* (* 2 v) (- (* 3 v)))) 2))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))))) (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * * [misc]simplify: iters left: 3 (413 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (- 1 (* v v))) (/ (sqrt (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (* (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (- 1 (* v v))) (/ (sqrt (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))))))) * * * * [misc]progress: [ 942 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (/ t (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (* (cbrt (sqrt (+ 2 (* (* (* 2 v) (- (* 3 v))) (* (* (* 3 v) v) (* (* 3 v) v)))))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (/ t (fabs (cbrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (* (cbrt (sqrt (+ 2 (* (* (* 2 v) (- (* 3 v))) (* (* (* 3 v) v) (* (* 3 v) v)))))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * * [misc]simplify: iters left: 3 (413 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (- 1 (* v v))) (/ (sqrt (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (sqrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (* (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (- 1 (* v v))) (/ (sqrt (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (sqrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))))))) * * * * [misc]progress: [ 943 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) 1))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (158 enodes) * * [misc]simplify: iters left: 3 (462 enodes) * [exit]simplify: Simplified to (/ (* (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (* (* t (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (* (* t (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))))) (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * * [misc]simplify: iters left: 3 (393 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* v 5))))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (/ (cbrt (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (fabs (cbrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI))))) (* (* t (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))))) (* (/ (sqrt (cbrt (- (/ 1 PI) (* (/ v PI) (* v 5))))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (/ (cbrt (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 944 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (496 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) t) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) (* (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) t) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) (* (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * * [misc]simplify: iters left: 3 (413 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (- 1 (* v v))) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (* (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (- 1 (* v v))) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))))))) * * * * [misc]progress: [ 945 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (496 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (* (cbrt (sqrt 2)) t)) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (* (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (* (cbrt (sqrt 2)) t)) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (* (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * * [misc]simplify: iters left: 3 (372 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (/ (* v 5) (/ PI v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt 2))))) (/ (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (/ (* v 5) (/ PI v))))))))) * * * * [misc]progress: [ 946 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (496 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) t) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (* (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) t) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (* (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * * [misc]simplify: iters left: 3 (413 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (- 1 (* v v))) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (sqrt (- 2 (* (* v 3) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (* (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (- 1 (* v v))) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (sqrt (- 2 (* (* v 3) (* v 2)))))))))) * * * * [misc]progress: [ 947 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (163 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (* (cbrt 1) t)) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (cbrt (sqrt (+ (* (* 2 (* (* 3 v) v)) (* (* (- v) (* 3 v)) (* (* 3 v) v))) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (* (cbrt 1) t)) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (cbrt (sqrt (+ (* (* 2 (* (* 3 v) v)) (* (* (- v) (* 3 v)) (* (* 3 v) v))) 2)))) (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * * [misc]simplify: iters left: 3 (393 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5))))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (/ (cbrt (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt 1)))) (* (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5))))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (/ (cbrt (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 948 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (170 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (* t (cbrt (sqrt (+ 2 (* (* 2 (* (* 3 v) v)) (* (* (- v) (* 3 v)) (* (* 3 v) v)))))))) (/ (cbrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (* t (cbrt (sqrt (+ 2 (* (* 2 (* (* 3 v) v)) (* (* (- v) (* 3 v)) (* (* 3 v) v)))))))) (/ (cbrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))))) (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * * [misc]simplify: iters left: 3 (413 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (- 1 (* v v))) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (* (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (- 1 (* v v))) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))))))) * * * * [misc]progress: [ 949 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (163 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (/ t (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (* (cbrt (sqrt (+ (* (* 2 (* (* 3 v) v)) (* (* (- v) (* 3 v)) (* (* 3 v) v))) 2))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (/ t (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (* (cbrt (sqrt (+ (* (* 2 (* (* 3 v) v)) (* (* (- v) (* 3 v)) (* (* 3 v) v))) 2))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * * [misc]simplify: iters left: 3 (413 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (- 1 (* v v))) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (sqrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (* (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (- 1 (* v v))) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (sqrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))))))) * * * * [misc]progress: [ 950 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) 1))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * * [misc]simplify: iters left: 3 (468 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) t) (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) t) (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * * [misc]simplify: iters left: 3 (393 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5))))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (/ (cbrt (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) 1))) (* (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5))))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (/ (cbrt (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 951 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt 1) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (496 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (* (* (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (/ t (sqrt 1)))) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (* (* (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (/ t (sqrt 1)))) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))))) (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * * [misc]simplify: iters left: 3 (393 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (cbrt (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt 1) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (* (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (cbrt (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 952 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt 1) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (496 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (* (cbrt (sqrt 2)) (/ t (sqrt 1)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (* (cbrt (sqrt 2)) (/ t (sqrt 1)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))) (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * * [misc]simplify: iters left: 3 (368 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5))))) (cbrt (sqrt (- 1 (* 3 (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt 1) (cbrt (sqrt 2))))) (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5))))) (cbrt (sqrt (- 1 (* 3 (* v v))))))))) * * * * [misc]progress: [ 953 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt 1) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (496 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (/ t (sqrt 1))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (* (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (/ t (sqrt 1))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (* (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * * [misc]simplify: iters left: 3 (393 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (cbrt (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt 1) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (* (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (cbrt (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 954 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt 1) (cbrt 1)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (163 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (* (/ t (sqrt 1)) (cbrt 1))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (cbrt (sqrt (+ (* (* 2 (* (* 3 v) v)) (* (* (- v) (* 3 v)) (* (* 3 v) v))) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (* (/ t (sqrt 1)) (cbrt 1))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (cbrt (sqrt (+ (* (* 2 (* (* 3 v) v)) (* (* (- v) (* 3 v)) (* (* 3 v) v))) 2)))) (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * * [misc]simplify: iters left: 3 (406 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v))))) (/ (cbrt (sqrt (- 2 (* (* v 2) (* v 3))))) (/ (sqrt (- (/ 1 PI) (/ (* v 5) (/ PI v)))) (- 1 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt 1) (cbrt 1)))) (/ (cbrt (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v))))) (/ (cbrt (sqrt (- 2 (* (* v 2) (* v 3))))) (/ (sqrt (- (/ 1 PI) (/ (* v 5) (/ PI v)))) (- 1 (* v v))))))) * * * * [misc]progress: [ 955 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt 1) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (170 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (* t (cbrt (sqrt (+ 2 (* (* 2 (* (* 3 v) v)) (* (* (- v) (* 3 v)) (* (* 3 v) v)))))))) (/ (cbrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (/ (sqrt 1) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (* t (cbrt (sqrt (+ 2 (* (* 2 (* (* 3 v) v)) (* (* (- v) (* 3 v)) (* (* 3 v) v)))))))) (/ (cbrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (/ (sqrt 1) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))))) (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * * [misc]simplify: iters left: 3 (393 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (cbrt (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt 1) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (* (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (cbrt (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 956 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt 1) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (163 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (/ t (sqrt 1))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (* (cbrt (sqrt (+ (* (* 2 (* (* 3 v) v)) (* (* (- v) (* 3 v)) (* (* 3 v) v))) 2))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (/ t (sqrt 1))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (* (cbrt (sqrt (+ (* (* 2 (* (* 3 v) v)) (* (* (- v) (* 3 v)) (* (* 3 v) v))) 2))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * * [misc]simplify: iters left: 3 (393 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (cbrt (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt 1) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (* (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (cbrt (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 957 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt 1) 1))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * * [misc]simplify: iters left: 3 (468 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (/ t (sqrt 1))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (/ t (sqrt 1))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * * [misc]simplify: iters left: 3 (406 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v))))) (/ (cbrt (sqrt (- 2 (* (* v 2) (* v 3))))) (/ (sqrt (- (/ 1 PI) (/ (* v 5) (/ PI v)))) (- 1 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt 1) 1))) (/ (cbrt (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v))))) (/ (cbrt (sqrt (- 2 (* (* v 2) (* v 3))))) (/ (sqrt (- (/ 1 PI) (/ (* v 5) (/ PI v)))) (- 1 (* v v))))))) * * * * [misc]progress: [ 958 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (496 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (* (* (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (/ t (sqrt (- 1 (* (* 5 v) v)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (* (* (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (/ t (sqrt (- 1 (* (* 5 v) v)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))))) (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * * [misc]simplify: iters left: 3 (336 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (/ (- 1 (* v v)) (sqrt (/ 1 PI)))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (/ (- 1 (* v v)) (sqrt (/ 1 PI)))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))))) * * * * [misc]progress: [ 959 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (496 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (* (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (/ (* (cbrt (sqrt 2)) t) (sqrt (- 1 (* (* 5 v) v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (* (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))) (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (/ (* (cbrt (sqrt 2)) t) (sqrt (- 1 (* (* 5 v) v))))))) (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (287 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))))) (* (/ (- 1 (* v v)) (sqrt (/ 1 PI))) (cbrt (sqrt (- 1 (* 3 (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt 2))))) (/ (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))))) (* (/ (- 1 (* v v)) (sqrt (/ 1 PI))) (cbrt (sqrt (- 1 (* 3 (* v v))))))))) * * * * [misc]progress: [ 960 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (496 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (/ t (sqrt (- 1 (* (* 5 v) v))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (* (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (/ t (sqrt (- 1 (* (* 5 v) v))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (* (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * * [misc]simplify: iters left: 3 (336 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (/ (- 1 (* v v)) (sqrt (/ 1 PI)))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (/ (- 1 (* v v)) (sqrt (/ 1 PI)))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))))) * * * * [misc]progress: [ 961 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (163 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (* (cbrt 1) t)) (sqrt (- 1 (* (* v v) 5)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (cbrt (sqrt (+ (* (* 2 (* (* 3 v) v)) (* (* (- v) (* 3 v)) (* (* 3 v) v))) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (* (cbrt 1) t)) (sqrt (- 1 (* (* v v) 5)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (cbrt (sqrt (+ (* (* 2 (* (* 3 v) v)) (* (* (- v) (* 3 v)) (* (* 3 v) v))) 2)))) (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (158 enodes) * * [misc]simplify: iters left: 3 (363 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))))) (* (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))) (/ (- 1 (* v v)) (sqrt (/ 1 PI))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (cbrt 1)))) (/ (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))))) (* (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))) (/ (- 1 (* v v)) (sqrt (/ 1 PI))))))) * * * * [misc]progress: [ 962 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (170 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (* t (cbrt (sqrt (+ 2 (* (* 2 (* (* 3 v) v)) (* (* (- v) (* 3 v)) (* (* 3 v) v)))))))) (/ (cbrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (/ (sqrt (- 1 (* (* 5 v) v))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (* t (cbrt (sqrt (+ 2 (* (* 2 (* (* 3 v) v)) (* (* (- v) (* 3 v)) (* (* 3 v) v)))))))) (/ (cbrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (/ (sqrt (- 1 (* (* 5 v) v))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))))) (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * * [misc]simplify: iters left: 3 (336 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (/ (- 1 (* v v)) (sqrt (/ 1 PI)))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (/ (- 1 (* v v)) (sqrt (/ 1 PI)))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))))) * * * * [misc]progress: [ 963 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (163 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (/ t (sqrt (- 1 (* (* v v) 5))))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (* (cbrt (sqrt (+ (* (* 2 (* (* 3 v) v)) (* (* (- v) (* 3 v)) (* (* 3 v) v))) 2))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (/ t (sqrt (- 1 (* (* v v) 5))))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (* (cbrt (sqrt (+ (* (* 2 (* (* 3 v) v)) (* (* (- v) (* 3 v)) (* (* 3 v) v))) 2))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * * [misc]simplify: iters left: 3 (336 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (/ (- 1 (* v v)) (sqrt (/ 1 PI)))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (/ (- 1 (* v v)) (sqrt (/ 1 PI)))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))))) * * * * [misc]progress: [ 964 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) 1))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * * [misc]simplify: iters left: 3 (468 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) t) (sqrt (- 1 (* (* v v) 5)))) (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) t) (sqrt (- 1 (* (* v v) 5)))) (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ 1 PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (158 enodes) * * [misc]simplify: iters left: 3 (363 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))))) (* (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))) (/ (- 1 (* v v)) (sqrt (/ 1 PI))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (- 1 (* (* v v) 5))) 1))) (/ (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))))) (* (cbrt (sqrt (- 2 (* (* v 3) (* 2 v))))) (/ (- 1 (* v v)) (sqrt (/ 1 PI))))))) * * * * [misc]progress: [ 965 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (496 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) t) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) (* (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) t) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) (* (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * * [misc]simplify: iters left: 3 (413 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (- 1 (* v v))) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (* (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (- 1 (* v v))) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))))))) * * * * [misc]progress: [ 966 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (496 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (* (cbrt (sqrt 2)) t)) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (* (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (* (cbrt (sqrt 2)) t)) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (* (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * * [misc]simplify: iters left: 3 (372 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (/ (* v 5) (/ PI v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt 2))))) (/ (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (/ (* v 5) (/ PI v))))))))) * * * * [misc]progress: [ 967 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (496 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) t) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (* (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) t) (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (* (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * * [misc]simplify: iters left: 3 (413 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (- 1 (* v v))) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (sqrt (- 2 (* (* v 3) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (* (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (- 1 (* v v))) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (sqrt (- 2 (* (* v 3) (* v 2)))))))))) * * * * [misc]progress: [ 968 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (163 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (* (cbrt 1) t)) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (cbrt (sqrt (+ (* (* 2 (* (* 3 v) v)) (* (* (- v) (* 3 v)) (* (* 3 v) v))) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (* (cbrt 1) t)) (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (cbrt (sqrt (+ (* (* 2 (* (* 3 v) v)) (* (* (- v) (* 3 v)) (* (* 3 v) v))) 2)))) (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * * [misc]simplify: iters left: 3 (393 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5))))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (/ (cbrt (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt 1)))) (* (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5))))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (/ (cbrt (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 969 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (170 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (* t (cbrt (sqrt (+ 2 (* (* 2 (* (* 3 v) v)) (* (* (- v) (* 3 v)) (* (* 3 v) v)))))))) (/ (cbrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (* t (cbrt (sqrt (+ 2 (* (* 2 (* (* 3 v) v)) (* (* (- v) (* 3 v)) (* (* 3 v) v)))))))) (/ (cbrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))))) (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * * [misc]simplify: iters left: 3 (413 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (- 1 (* v v))) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (* (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (- 1 (* v v))) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))))))) * * * * [misc]progress: [ 970 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (163 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (/ t (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (* (cbrt (sqrt (+ (* (* 2 (* (* 3 v) v)) (* (* (- v) (* 3 v)) (* (* 3 v) v))) 2))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (/ t (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (* (cbrt (sqrt (+ (* (* 2 (* (* 3 v) v)) (* (* (- v) (* 3 v)) (* (* 3 v) v))) 2))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * * [misc]simplify: iters left: 3 (413 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (- 1 (* v v))) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (sqrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (* (/ (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (- 1 (* v v))) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (sqrt (cbrt (sqrt (- 2 (* (* v 3) (* v 2)))))))))) * * * * [misc]progress: [ 971 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) 1))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * * [misc]simplify: iters left: 3 (468 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) t) (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) t) (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (* (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * * [misc]simplify: iters left: 3 (393 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5))))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (/ (cbrt (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) 1))) (* (/ (sqrt (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5))))) (cbrt (sqrt (- 2 (* (* v 2) (* v 3)))))) (/ (cbrt (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 972 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ 1 (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (484 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) t) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) t) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * * [misc]simplify: iters left: 3 (393 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (cbrt (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ 1 (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (* (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (cbrt (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 973 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ 1 (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (484 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (* (cbrt (sqrt 2)) t)) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (* (cbrt (sqrt 2)) t)) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))) (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * * [misc]simplify: iters left: 3 (368 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5))))) (cbrt (sqrt (- 1 (* 3 (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ 1 (cbrt (sqrt 2))))) (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5))))) (cbrt (sqrt (- 1 (* 3 (* v v))))))))) * * * * [misc]progress: [ 974 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ 1 (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (484 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) t) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (* (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) t) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (* (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * * [misc]simplify: iters left: 3 (393 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (cbrt (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ 1 (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (* (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))) (cbrt (sqrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (cbrt (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 975 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ 1 (cbrt 1)))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * * [misc]simplify: iters left: 3 (482 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (* t (cbrt 1))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (* t (cbrt 1))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))) (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * * [misc]simplify: iters left: 3 (406 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v))))) (/ (cbrt (sqrt (- 2 (* (* v 2) (* v 3))))) (/ (sqrt (- (/ 1 PI) (/ (* v 5) (/ PI v)))) (- 1 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ 1 (cbrt 1)))) (/ (cbrt (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v))))) (/ (cbrt (sqrt (- 2 (* (* v 2) (* v 3))))) (/ (sqrt (- (/ 1 PI) (/ (* v 5) (/ PI v)))) (- 1 (* v v))))))) * * * * [misc]progress: [ 976 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ 1 (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (* (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (* (cbrt (sqrt (+ (* (* (* (* 3 v) v) (* (* 3 v) (- v))) (* (* (* 3 v) v) 2)) 2))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (* (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (* (cbrt (sqrt (+ (* (* (* (* 3 v) v) (* (* 3 v) (- v))) (* (* (* 3 v) v) 2)) 2))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))))) (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * * [misc]simplify: iters left: 3 (393 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (cbrt (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ 1 (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (* (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))) (cbrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (cbrt (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 977 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ 1 (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * * [misc]simplify: iters left: 3 (482 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) t) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))) (sqrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) t) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* (* v v) (* v 2)) (pow (* 3 v) 3)))))) (sqrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * * [misc]simplify: iters left: 3 (393 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (cbrt (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v))))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ 1 (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (* (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* v 5)))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (cbrt (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 978 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ 1 1))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * * [misc]simplify: iters left: 3 (392 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) t) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) t) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * * [misc]simplify: iters left: 3 (406 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v))))) (/ (cbrt (sqrt (- 2 (* (* v 2) (* v 3))))) (/ (sqrt (- (/ 1 PI) (/ (* v 5) (/ PI v)))) (- 1 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ 1 1))) (/ (cbrt (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v))))) (/ (cbrt (sqrt (- 2 (* (* v 2) (* v 3))))) (/ (sqrt (- (/ 1 PI) (/ (* v 5) (/ PI v)))) (- 1 (* v v))))))) * * * * [misc]progress: [ 979 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t 1)) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (382 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * * [misc]simplify: iters left: 3 (406 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v))))) (/ (cbrt (sqrt (- 2 (* (* v 2) (* v 3))))) (/ (sqrt (- (/ 1 PI) (/ (* v 5) (/ PI v)))) (- 1 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t 1)) (/ (cbrt (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v))))) (/ (cbrt (sqrt (- 2 (* (* v 2) (* v 3))))) (/ (sqrt (- (/ 1 PI) (/ (* v 5) (/ PI v)))) (- 1 (* v v))))))) * * * * [misc]progress: [ 980 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (sqrt (/ (- 1 (* (* v v) 5)) PI)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * * [misc]simplify: iters left: 3 (413 enodes) * [exit]simplify: Simplified to (/ (/ (/ (- (/ 1 PI) (* (* v v) (/ 5 PI))) t) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (- (/ 1 PI) (* (* v v) (/ 5 PI))) t) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (/ 1 (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * * [misc]simplify: iters left: 3 (351 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3))))) (* (- 1 (* v v)) (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (- (/ 1 PI) (* (* v v) (/ 5 PI))) t) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (/ (cbrt (sqrt (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3))))) (* (- 1 (* v v)) (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))))))) * * * * [misc]progress: [ 981 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3)))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (160 enodes) * * [misc]simplify: iters left: 3 (495 enodes) * [exit]simplify: Simplified to (/ (/ (/ (- (/ 1 PI) (* (/ v PI) (* 5 v))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (* t (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (- (/ 1 PI) (* (/ v PI) (* 5 v))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (* t (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))))) (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (356 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v)))))) (- 1 (* v v))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (/ (- (/ 1 PI) (* (/ v PI) (* 5 v))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (* t (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2)))))))) (/ (* (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v))))) (cbrt (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v)))))) (- 1 (* v v))))) * * * * [misc]progress: [ 982 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (/ t (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (cbrt (sqrt (* (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) 2)))) (* (cbrt (sqrt (+ (* (* (* (* 3 v) v) (* (* 3 v) v)) (* (* 2 v) (- (* 3 v)))) 2))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))) (/ t (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5)))))) (cbrt (sqrt (* (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) 2)))) (* (cbrt (sqrt (+ (* (* (* (* 3 v) v) (* (* 3 v) v)) (* (* 2 v) (- (* 3 v)))) 2))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* v 3) v)))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* v 3) v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (223 enodes) * * [misc]simplify: iters left: 2 (400 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* 3 (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ t (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v))))))))) (/ (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* 3 (* v v))))))))) * * * * [misc]progress: [ 983 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) 1) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (393 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * * [misc]simplify: iters left: 3 (448 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (* (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))) (/ (- t (* t (* v v))) (sqrt (- (/ 1 PI) (/ (* v 5) (/ PI v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) 1) (/ (cbrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (* (cbrt (sqrt (- 2 (* (* v 3) (* v 2))))) (/ (- t (* t (* v v))) (sqrt (- (/ 1 PI) (/ (* v 5) (/ PI v))))))))) * * * * [misc]progress: [ 984 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (* t (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (455 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (- t (* t (* v v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (- t (* t (* v v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (pow (* 3 v) 3) (* (* v v) (* v 2))))))) (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ 1 (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (/ 1 (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (387 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- (/ 1 PI) (* (* v 5) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (sqrt (+ (* (* (* v v) 3) (* (* v v) 3)) (+ 1 (* (* v v) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (* t (- 1 (* v v)))) (* (/ (sqrt (- (/ 1 PI) (* (* v 5) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (sqrt (+ (* (* (* v v) 3) (* (* v v) 3)) (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 985 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ (* t (- 1 (* v v))) (sqrt (/ (- 1 (* (* v v) 5)) PI)))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (* t (- 1 (* v v)))) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (cbrt (sqrt (+ (* (* 2 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) (- v)))) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (* t (- 1 (* v v)))) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v)))))) (cbrt (sqrt (+ (* (* 2 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) (- v)))) 2)))) (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* 1 1) (+ (* (* (* v 3) v) (* (* v 3) v)) (* 1 (* (* v 3) v)))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (245 enodes) * * [misc]simplify: iters left: 2 (463 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (pow 1 3) (pow (* (* v 3) v) 3))))))) (/ (* t (- 1 (* v v))) (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (/ (cbrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))))) (cbrt (sqrt (- 2 (* (* v v) (* 2 3)))))))) * * * * [misc]progress: [ 986 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (* (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (336 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (/ (- t (* v (* v t))) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (/ (- t (* v (* v t))) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (/ (- t (* v (* v t))) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (/ (- t (* v (* v t))) (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))))))) (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (197 enodes) * * [misc]simplify: iters left: 2 (387 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (/ (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (/ (sqrt (- (/ 1 PI) (* (* v 5) (/ v PI)))) (- t (* (* t v) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (* (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) (cbrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (/ (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (/ (sqrt (- (/ 1 PI) (* (* v 5) (/ v PI)))) (- t (* (* t v) v)))))))) * * * * [misc]progress: [ 987 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * * [misc]simplify: iters left: 3 (317 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* (* 3 v) v) (* (* 3 v) (* v 2))))))) (sqrt (* (/ (- t (* t (* v v))) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* (* 3 v) v) (* (* 3 v) (* v 2))))))) (sqrt (* (/ (- t (* t (* v v))) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (197 enodes) * * [misc]simplify: iters left: 2 (387 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (sqrt (/ (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (/ (sqrt (- (/ 1 PI) (* (* v 5) (/ v PI)))) (- t (* (* t v) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (sqrt (/ (* t (- 1 (* v v))) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (sqrt (/ (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (/ (sqrt (- (/ 1 PI) (* (* v 5) (/ v PI)))) (- t (* (* t v) v)))))))) * * * * [misc]progress: [ 988 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * * [misc]simplify: iters left: 3 (334 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* (* 3 v) 2) (* (* 3 v) (* v v))))))) (cbrt (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))) (/ t (cbrt (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* (* 3 v) 2) (* (* 3 v) (* v v))))))) (cbrt (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))) (/ t (cbrt (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))))) (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (/ (- 1 (* v v)) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (/ (- 1 (* v v)) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (264 enodes) * * [misc]simplify: iters left: 1 (359 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (- 1 (* v v))) (cbrt (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (* (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))) (cbrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (- 1 (* v v))) (cbrt (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))))) * * * * [misc]progress: [ 989 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (129 enodes) * * [misc]simplify: iters left: 3 (295 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (/ (sqrt (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) t)) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v))))))) (/ (sqrt (/ (sqrt (- (/ 1 PI) (* (* 5 v) (/ v PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) t)) (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (/ (- 1 (* v v)) (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (/ (- 1 (* v v)) (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (264 enodes) * * [misc]simplify: iters left: 1 (359 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (- 1 (* v v))) (sqrt (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (sqrt (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (- 1 (* v v))) (sqrt (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))))))) * * * * [misc]progress: [ 990 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (152 enodes) * * [misc]simplify: iters left: 3 (411 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* (* 3 v) 2) (* (* 3 v) (* v v))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (/ t (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* (* 3 v) 2) (* (* 3 v) (* v v))))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))))) (/ (/ t (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))) (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (400 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* 3 v) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* 3 v) v)))))))) * * * * [misc]progress: [ 991 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (152 enodes) * * [misc]simplify: iters left: 3 (411 enodes) * [exit]simplify: Simplified to (/ (* (* (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (* t (cbrt (sqrt 2)))) (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) (* (cbrt (sqrt (- 2 (* (* (* 3 v) 2) (* (* 3 v) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (* (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (* t (cbrt (sqrt 2)))) (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) (* (cbrt (sqrt (- 2 (* (* (* 3 v) 2) (* (* 3 v) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (308 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (/ (- 1 (* v v)) (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt 2))))) (/ (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (/ (- 1 (* v v)) (cbrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))))))) * * * * [misc]progress: [ 992 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (152 enodes) * * [misc]simplify: iters left: 3 (411 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* (* 3 v) 2) (* (* 3 v) (* v v))))))) (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (/ t (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* (* 3 v) 2) (* (* 3 v) (* v v))))))) (cbrt (sqrt (sqrt (- 2 (* (* 2 3) (* v v))))))) (/ (/ t (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) (cbrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))))) (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (400 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* 3 v) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* 3 v) v)))))))) * * * * [misc]progress: [ 993 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (151 enodes) * * [misc]simplify: iters left: 3 (411 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) t) (* (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))))) (* (* (cbrt 1) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (sqrt (- 2 (* (* (* 3 v) 2) (* (* 3 v) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) t) (* (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))))) (* (* (cbrt 1) (cbrt (sqrt (- 2 (* (* v v) (* 3 2)))))) (cbrt (sqrt (- 2 (* (* (* 3 v) 2) (* (* 3 v) (* v v)))))))) (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (191 enodes) * * [misc]simplify: iters left: 2 (396 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (- 1 (* v v))) (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt 1)))) (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (- 1 (* v v))) (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))))))) * * * * [misc]progress: [ 994 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (* (cbrt (sqrt (* (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) 2))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (* (/ (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v)))) t) (* (cbrt (sqrt (* (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) 2))) (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (* (/ (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))) (/ (cbrt (sqrt (- (/ 1 PI) (* (/ v PI) (* 5 v))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* 3 v) v))))))))) (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (400 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* 3 v) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* 3 v) v)))))))) * * * * [misc]progress: [ 995 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (151 enodes) * * [misc]simplify: iters left: 3 (411 enodes) * [exit]simplify: Simplified to (* (/ (/ (* (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (* t (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* (* 3 v) 2) (* (* 3 v) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (* (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (* t (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* (* 3 v) 2) (* (* 3 v) (* v v)))))))) (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (400 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* 3 v) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* 3 v) v)))))))) * * * * [misc]progress: [ 996 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) 1))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (152 enodes) * * [misc]simplify: iters left: 3 (395 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (* (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))))) (* (* t (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (* (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))))) (* (* t (cbrt (sqrt (- 2 (* (* 2 3) (* v v)))))) (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))))) (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (/ (- 1 (* v v)) (/ (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (191 enodes) * * [misc]simplify: iters left: 2 (396 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (- 1 (* v v))) (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (* (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (/ (- 1 (* (* v v) 5)) PI)))) 1))) (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (- 1 (* v v))) (/ (cbrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))))))) * * * * [misc]progress: [ 997 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (368 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (* t (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (cbrt (sqrt (- 2 (* (* (* 3 v) (* v 2)) (* (* 3 v) v)))))) (/ (fabs (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (* t (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (cbrt (sqrt (- 2 (* (* (* 3 v) (* v 2)) (* (* 3 v) v)))))) (/ (fabs (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))))) (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (400 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* 3 v) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (* (/ (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (* t (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (cbrt (sqrt (- 2 (* (* (* 3 v) (* v 2)) (* (* 3 v) v)))))) (/ (fabs (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (* (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))))) (/ (/ (sqrt (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* 3 v) v)))))))) * * * * [misc]progress: [ 998 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (368 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (/ (fabs (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt 2)))) (* (* t (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* (* 3 v) (* v 2)) (* (* 3 v) v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (/ (fabs (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt 2)))) (* (* t (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* (* 3 v) (* v 2)) (* (* 3 v) v))))))) (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (308 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (* (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (/ (fabs (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt 2)))) (* (* t (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* (* 3 v) (* v 2)) (* (* 3 v) v))))))) (/ (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (/ (- 1 (* v v)) (sqrt (cbrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))))))) * * * * [misc]progress: [ 999 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (368 enodes) * [exit]simplify: Simplified to (/ (/ (* (fabs (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (* t (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* (* 3 v) (* v 2)) (* (* 3 v) v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (fabs (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (* t (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* (* 3 v) (* v 2)) (* (* 3 v) v))))))) (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (400 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* 3 v) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (fabs (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (* t (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* (* 3 v) (* v 2)) (* (* 3 v) v))))))) (/ (/ (sqrt (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* 3 v) v)))))))) * * * * [misc]progress: [ 1000 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (145 enodes) * * [misc]simplify: iters left: 3 (367 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (* t (cbrt 1))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (/ (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* (* 3 v) v) (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (* t (cbrt 1))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (/ (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* (* 3 v) v) (* (* 3 v) (* v 2)))))))) (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (191 enodes) * * [misc]simplify: iters left: 2 (396 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (- 1 (* v v))) (/ (sqrt (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (* (/ (/ (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))) (* t (cbrt 1))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (/ (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* (* 3 v) v) (* (* 3 v) (* v 2)))))))) (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (- 1 (* v v))) (/ (sqrt (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))))))) * * * * [misc]progress: [ 1001 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (152 enodes) * * [misc]simplify: iters left: 3 (411 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* (* v 2) (* 3 v)) (* (* 3 v) v)))))) (* (* (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (/ (* t (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* (* v 2) (* 3 v)) (* (* 3 v) v)))))) (* (* (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (/ (* t (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))))) (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (400 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* 3 v) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* (* v 2) (* 3 v)) (* (* 3 v) v)))))) (* (* (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (/ (* t (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (fabs (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))))) (/ (/ (sqrt (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* 3 v) v)))))))) * * * * [misc]progress: [ 1002 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (145 enodes) * * [misc]simplify: iters left: 3 (367 enodes) * [exit]simplify: Simplified to (/ (/ (* (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (* (* 3 v) v) (* (* 3 v) (* v 2)))))) (* t (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (* (* 3 v) v) (* (* 3 v) (* v 2)))))) (* t (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (400 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* 3 v) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (fabs (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (cbrt (sqrt (- 2 (* (* (* 3 v) v) (* (* 3 v) (* v 2)))))) (* t (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))))) (/ (/ (sqrt (cbrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* 3 v) v)))))))) * * * * [misc]progress: [ 1003 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (* (cbrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (/ (- 1 (* (* v v) 5)) PI)))) 1))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (137 enodes) * * [misc]simplify: iters left: 3 (329 enodes) * [exit]simplify: Simplified to (/ (/ (* (fabs (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) t) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (fabs (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) t) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (/ (- 1 (* v v)) (/ (sqrt (cbrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (191 enodes) * * [misc]simplify: iters left: 2 (396 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (- 1 (* v v))) (/ (sqrt (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (* (fabs (cbrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) t) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (- 1 (* v v))) (/ (sqrt (cbrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))))))) * * * * [misc]progress: [ 1004 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * * [misc]simplify: iters left: 3 (365 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))) (/ t (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* (* 3 v) v) (* (* v 2) (* 3 v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))) (/ t (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* (* 3 v) v) (* (* v 2) (* 3 v))))))))) (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (400 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* 3 v) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* 3 v) v)))))))) * * * * [misc]progress: [ 1005 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * * [misc]simplify: iters left: 3 (365 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt 2))) (cbrt (sqrt (- 2 (* (* (* 3 v) v) (* (* v 2) (* 3 v))))))) (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (* t (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (* (/ (/ (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt 2))) (cbrt (sqrt (- 2 (* (* (* 3 v) v) (* (* v 2) (* 3 v))))))) (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (* t (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))) (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (308 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt 2))))) (/ (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (cbrt (sqrt (- 1 (* (* 3 v) v))))) (/ (- 1 (* v v)) (sqrt (sqrt (- (/ 1 PI) (/ (* v v) (/ PI 5))))))))) * * * * [misc]progress: [ 1006 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * * [misc]simplify: iters left: 3 (365 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) t) (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (cbrt (sqrt (- 2 (* (* (* 3 v) v) (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) t) (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) (cbrt (sqrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (* (cbrt (sqrt (- 2 (* (* (* 3 v) v) (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))))) (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (400 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* 3 v) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (sqrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* 3 v) v)))))))) * * * * [misc]progress: [ 1007 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt 1)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * * [misc]simplify: iters left: 3 (362 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (* (cbrt 1) t)) (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) (* (cbrt 1) t)) (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (191 enodes) * * [misc]simplify: iters left: 2 (396 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (- 1 (* v v))) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt 1)))) (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (- 1 (* v v))) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))))))) * * * * [misc]progress: [ 1008 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * * [misc]simplify: iters left: 3 (408 enodes) * [exit]simplify: Simplified to (/ (/ (/ (* (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) t) (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* (* 3 v) v) (* (* 3 v) (* v 2)))))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (* (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) t) (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (* (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (cbrt (sqrt (- 2 (* (* (* 3 v) v) (* (* 3 v) (* v 2)))))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2)))))) (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (400 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* 3 v) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (* (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* 3 v) v)))))))) * * * * [misc]progress: [ 1009 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * * [misc]simplify: iters left: 3 (362 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) t) (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (* (/ (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))) t) (sqrt (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI)))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (* (cbrt (sqrt (- 2 (* (* 2 (* v v)) (* (* 3 v) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* v v) (* 3 2))))))) (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (400 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* 3 v) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (sqrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) (/ (/ (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (sqrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) (/ (- 1 (* v v)) (cbrt (sqrt (+ 1 (* (* 3 v) v)))))))) * * * * [misc]progress: [ 1010 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) 1))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (331 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) t)) (* (cbrt (sqrt (- 2 (* (* (* 3 v) (* v 2)) (* (* 3 v) v))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (* (sqrt (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v))))) (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) t)) (* (cbrt (sqrt (- 2 (* (* (* 3 v) (* v 2)) (* (* 3 v) v))))) (cbrt (sqrt (- 2 (* (* 3 v) (* v 2))))))) (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (/ (- 1 (* v v)) (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (191 enodes) * * [misc]simplify: iters left: 2 (396 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (- 1 (* v v))) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt (sqrt (/ (- 1 (* (* v v) 5)) PI))) 1))) (* (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (- 1 (* v v))) (/ (sqrt (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v))))) (cbrt (sqrt (- 2 (* (* 2 v) (* 3 v))))))))) * * * * [misc]progress: [ 1011 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt 1) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * * [misc]simplify: iters left: 3 (365 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 1) (cbrt (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))) (/ t (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* (* 3 v) v) (* (* v 2) (* 3 v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (sqrt 1) (cbrt (* (cbrt (sqrt (- 2 (* (* v 2) (* 3 v))))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))))) (/ t (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* (* 3 v) v) (* (* v 2) (* 3 v))))))))) (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (191 enodes) * * [misc]simplify: iters left: 2 (399 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt 1) (cbrt (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- 1 (* (* v 3) v)))))))))) (/ (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (/ 5 PI) (* v v)))))) (cbrt (cbrt (sqrt (- 2 (* (* 3 v) (* 2 v))))))))) * * * * [misc]progress: [ 1012 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt 1) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * * [misc]simplify: iters left: 3 (365 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (* (cbrt (sqrt 2)) (/ t (sqrt 1)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* (* 3 v) v) (* (* v 2) (* 3 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v t) (* (/ (/ (/ (sqrt (- (/ 1 PI) (/ (* 5 v) (/ PI v)))) (* (cbrt (sqrt 2)) (/ t (sqrt 1)))) (cbrt (sqrt (- 2 (* (* v 2) (* 3 v)))))) (cbrt (sqrt (- 2 (* (* (* 3 v) v) (* (* v 2) (* 3 v))))))) (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 (* (* v 3) v)))) (/ (- 1 (* v v)) (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (cbrt (sqrt (- 1 (* (* v 3) v))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (307 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 1 (* (* 3 v) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v t) (* (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt 1) (cbrt (sqrt 2))))) (/ (cbrt (sqrt (+ 1 (* (* 3 v) v)))) (* (/ (- 1 (* v v)) (sqrt (- (/ 1 PI) (* (* v v) (/ 5 PI))))) (cbrt (sqrt (- 1 (* (* 3 v) v)))))))) * * * * [misc]progress: [ 1013 / 1288 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- 1 (* (* v v) 5)) PI)) (* (cbrt (sqrt (* 2 (- 1 (* (* v 3) v))))) (cbrt (sqrt (* 2 (- (* 1 1) (* (* (* v 3) v) (* (* v 3) v)))))))) (/ t (/ (sqrt 1) (cbrt (sqrt (sqrt (* 2 (- 1 (* (* v 3) v))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * * [misc]simplify: iters left: 3 (365 enodes)