* [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: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 127 additional inputs, on iter 1 have 129 / 256 * * * * [misc]points: Computing exacts on every 7 of 127 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 3 of 127 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 127 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 69 additional inputs, on iter 2 have 187 / 256 * * * * [misc]points: Computing exacts on every 4 of 69 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 2 of 69 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 69 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 46 additional inputs, on iter 3 have 210 / 256 * * * * [misc]points: Computing exacts on every 2 of 46 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 46 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 28 additional inputs, on iter 4 have 228 / 256 * * * * [misc]points: Computing exacts for 28 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 14 additional inputs, on iter 5 have 242 / 256 * * * * [misc]points: Computing exacts for 14 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 6 have 248 / 256 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 7 have 254 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * * [misc]simplify: iters left: 2 (429 enodes) * [exit]simplify: Simplified to (acos (/ (- 1 (* (* v v) 5)) (+ (* v v) -1))) * * [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 / 3 ] rewriting at (2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 1 2) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) in v * [misc]backup-simplify: Simplify (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) into (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) * [misc]taylor: Taking taylor expansion of (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) in v * [misc]backup-simplify: Simplify (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) into (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) * [misc]backup-simplify: Simplify (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) into (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) * [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 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) into (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) * [misc]approximate: Taking taylor expansion of (acos (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (acos (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) in v * [misc]backup-simplify: Simplify (acos (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) into (acos (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [misc]taylor: Taking taylor expansion of (acos (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) in v * [misc]backup-simplify: Simplify (acos (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) into (acos (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [misc]backup-simplify: Simplify (acos (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) into (acos (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [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 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (acos (/ (- 1 (* 5 (/ 1 (pow (/ 1 v) 2)))) (- (/ 1 (pow (/ 1 v) 2)) 1))) into (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) * [misc]approximate: Taking taylor expansion of (acos (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (acos (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) in v * [misc]backup-simplify: Simplify (acos (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) into (acos (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [misc]taylor: Taking taylor expansion of (acos (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) in v * [misc]backup-simplify: Simplify (acos (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) into (acos (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [misc]backup-simplify: Simplify (acos (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) into (acos (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [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 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (acos (/ (- 1 (* 5 (/ 1 (pow (/ 1 (- v)) 2)))) (- (/ 1 (pow (/ 1 (- v)) 2)) 1))) into (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 1 2) * [misc]approximate: Taking taylor expansion of (* 5 (* v v)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* 5 (* v v)) in v * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [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 (* v v)) in v * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [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 (* 5 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 5 1) (+ (* 0 0) (* 0 0))) 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 (+ (* 5 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 5 (pow v 2)) into (* 5 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* 5 (* (/ 1 v) (/ 1 v))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* 5 (* (/ 1 v) (/ 1 v))) in v * [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)) 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 (* (/ 1 v) (/ 1 v))) in v * [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)) 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 (* 5 1) 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 (+ (* 5 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 5 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 (* 5 (pow (/ 1 (/ 1 v)) 2)) into (* 5 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* 5 (* (/ 1 (- v)) (/ 1 (- v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* 5 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [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))) 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 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [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))) 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 (* 5 1) 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 (+ (* 5 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 5 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 (* 5 (pow (/ 1 (/ 1 (- v))) 2)) into (* 5 (pow v 2)) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) in v * [misc]taylor: Taking taylor expansion of (- 1 (* 5 (* 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 (* 5 (* v v)) in v * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [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) 1) 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 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 5 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) in v * [misc]taylor: Taking taylor expansion of (- 1 (* 5 (* 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 (* 5 (* v v)) in v * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [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) 1) 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 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 5 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)))) 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 (+ (* 5 1) (+ (* 0 0) (* 0 0))) into 5 * [misc]backup-simplify: Simplify (- 5) into -5 * [misc]backup-simplify: Simplify (+ 0 -5) into -5 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ -5 -1) (+ (* -1 (/ 1 -1)) (* 0 (/ 0 -1)))) into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* 0 (/ 1 -1)) (* 4 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 4 (/ 1 -1)) (* 0 (/ 0 -1)))) into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (+ (* 4 (pow v 4)) (+ (* 4 (pow v 2)) -1)) into (- (+ (* 4 (pow v 4)) (* 4 (pow v 2))) 1) * [misc]approximate: Taking taylor expansion of (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1)) in v * [misc]taylor: Taking taylor expansion of (- 1 (* 5 (* (/ 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 (* 5 (* (/ 1 v) (/ 1 v))) in v * [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)) 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)) 1) 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 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 5 1) into 5 * [misc]backup-simplify: Simplify (- 5) into -5 * [misc]backup-simplify: Simplify (+ 0 -5) into -5 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ -5 1) into -5 * [misc]taylor: Taking taylor expansion of (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1)) in v * [misc]taylor: Taking taylor expansion of (- 1 (* 5 (* (/ 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 (* 5 (* (/ 1 v) (/ 1 v))) in v * [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)) 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)) 1) 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 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 5 1) into 5 * [misc]backup-simplify: Simplify (- 5) into -5 * [misc]backup-simplify: Simplify (+ 0 -5) into -5 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ -5 1) 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 (+ (* 5 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 (/ 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -5 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 5 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 (/ 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) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* -5 (/ -1 1)) (* 0 (/ 0 1)))) into -4 * [misc]backup-simplify: Simplify -4 into -4 * [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 (+ (* 5 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -5 (/ 0 1)) (* 0 (/ -1 1)) (* -4 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 5 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -5 (/ 0 1)) (* 0 (/ 0 1)) (* -4 (/ -1 1)) (* 0 (/ 0 1)))) into -4 * [misc]backup-simplify: Simplify -4 into -4 * [misc]backup-simplify: Simplify (+ (* -4 (pow (/ 1 v) 4)) (+ (* -4 (pow (/ 1 v) 2)) -5)) into (- (+ (* 4 (/ 1 (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))) * [misc]approximate: Taking taylor expansion of (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1)) in v * [misc]taylor: Taking taylor expansion of (- 1 (* 5 (* (/ 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 (* 5 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [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))) 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))) 1) 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 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 5 1) into 5 * [misc]backup-simplify: Simplify (- 5) into -5 * [misc]backup-simplify: Simplify (+ 0 -5) into -5 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ -5 1) into -5 * [misc]taylor: Taking taylor expansion of (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1)) in v * [misc]taylor: Taking taylor expansion of (- 1 (* 5 (* (/ 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 (* 5 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [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))) 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))) 1) 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 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 5 1) into 5 * [misc]backup-simplify: Simplify (- 5) into -5 * [misc]backup-simplify: Simplify (+ 0 -5) into -5 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ -5 1) 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 (+ (* 5 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 (- 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -5 (/ 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 (+ (* 5 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 (- 1) into -1 * [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) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* -5 (/ -1 1)) (* 0 (/ 0 1)))) into -4 * [misc]backup-simplify: Simplify -4 into -4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [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 (+ (* 5 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -5 (/ 0 1)) (* 0 (/ -1 1)) (* -4 (/ 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 (+ (* 5 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -5 (/ 0 1)) (* 0 (/ 0 1)) (* -4 (/ -1 1)) (* 0 (/ 0 1)))) into -4 * [misc]backup-simplify: Simplify -4 into -4 * [misc]backup-simplify: Simplify (+ (* -4 (pow (/ 1 (- v)) 4)) (+ (* -4 (pow (/ 1 (- v)) 2)) -5)) into (- (+ (* 4 (/ 1 (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- 1 (* 5 (* v v)))) (log (- (* v v) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (- (log (+ (* v (* -5 v)) 1)) (log (+ (* v v) -1))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (acos (exp (- (log (+ (* v (* -5 v)) 1)) (log (+ (* v v) -1)))))) * * * * [misc]progress: [ 20 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- 1 (* 5 (* v v))) (- 1 (* 5 (* v v)))) (- 1 (* 5 (* v v)))) (* (* (- (* v v) 1) (- (* v v) 1)) (- (* v v) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (460 enodes) * [exit]simplify: Simplified to (pow (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)) 3) * [misc]simplify: Simplified (2 1 1) to (λ (v) (acos (cbrt (pow (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)) 3)))) * * * * [misc]progress: [ 23 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (* v v) 1)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (/ 1 (+ -1 (* v v))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (acos (- (/ 1 (+ -1 (* v v))) (/ (* 5 (* v v)) (- (* v v) 1))))) * * * * [misc]progress: [ 28 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 (* 5 (* v v)))) (cbrt (- 1 (* 5 (* v v))))) (* (cbrt (- (* v v) 1)) (cbrt (- (* v v) 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 (* (* v v) 5))) (cbrt (+ -1 (* v v)))) (/ (cbrt (- 1 (* (* v v) 5))) (cbrt (+ -1 (* v v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (acos (* (* (/ (cbrt (- 1 (* (* v v) 5))) (cbrt (+ -1 (* v v)))) (/ (cbrt (- 1 (* (* v v) 5))) (cbrt (+ -1 (* v v))))) (/ (cbrt (- 1 (* 5 (* v v)))) (cbrt (- (* v v) 1)))))) * [enter]simplify: Simplifying (/ (cbrt (- 1 (* 5 (* v v)))) (cbrt (- (* v v) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* (* v v) -5) 1)) (cbrt (- (* v v) 1))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (acos (* (/ (* (cbrt (- 1 (* 5 (* v v)))) (cbrt (- 1 (* 5 (* v v))))) (* (cbrt (- (* v v) 1)) (cbrt (- (* v v) 1)))) (/ (cbrt (+ (* (* v v) -5) 1)) (cbrt (- (* v v) 1)))))) * * * * [misc]progress: [ 29 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 (* 5 (* v v)))) (cbrt (- 1 (* 5 (* v v))))) (sqrt (- (* v v) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 (* (* v v) 5))) (/ (sqrt (- (* v v) 1)) (cbrt (- 1 (* (* v v) 5))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (acos (* (/ (cbrt (- 1 (* (* v v) 5))) (/ (sqrt (- (* v v) 1)) (cbrt (- 1 (* (* v v) 5))))) (/ (cbrt (- 1 (* 5 (* v v)))) (sqrt (- (* v v) 1)))))) * [enter]simplify: Simplifying (/ (cbrt (- 1 (* 5 (* v v)))) (sqrt (- (* v v) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* (* v v) -5) 1)) (sqrt (- (* v v) 1))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (acos (* (/ (* (cbrt (- 1 (* 5 (* v v)))) (cbrt (- 1 (* 5 (* v v))))) (sqrt (- (* v v) 1))) (/ (cbrt (+ (* (* v v) -5) 1)) (sqrt (- (* v v) 1)))))) * * * * [misc]progress: [ 30 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 (* 5 (* v v)))) (cbrt (- 1 (* 5 (* v v))))) 1) * * [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 (48 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 (* (* v 5) v))) (cbrt (- 1 (* (* v 5) v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (acos (* (* (cbrt (- 1 (* (* v 5) v))) (cbrt (- 1 (* (* v 5) v)))) (/ (cbrt (- 1 (* 5 (* v v)))) (- (* v v) 1))))) * [enter]simplify: Simplifying (/ (cbrt (- 1 (* 5 (* v v)))) (- (* v v) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 (* (* v v) 5))) (+ (* v v) -1)) * [misc]simplify: Simplified (2 1 2) to (λ (v) (acos (* (* (cbrt (- 1 (* (* v 5) v))) (cbrt (- 1 (* (* v 5) v)))) (/ (cbrt (- 1 (* (* v v) 5))) (+ (* v v) -1))))) * * * * [misc]progress: [ 31 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 (* 5 (* v v)))) (cbrt (- 1 (* 5 (* v v))))) (+ v 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 (* (* v v) 5))) (+ 1 v)) (cbrt (- 1 (* (* v v) 5)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (acos (* (* (/ (cbrt (- 1 (* (* v v) 5))) (+ 1 v)) (cbrt (- 1 (* (* v v) 5)))) (/ (cbrt (- 1 (* 5 (* v v)))) (- v 1))))) * [enter]simplify: Simplifying (/ (cbrt (- 1 (* 5 (* v v)))) (- v 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 (* (* v 5) v))) (- v 1)) * [misc]simplify: Simplified (2 1 2) to (λ (v) (acos (* (/ (* (cbrt (- 1 (* 5 (* v v)))) (cbrt (- 1 (* 5 (* v v))))) (+ v 1)) (/ (cbrt (- 1 (* (* v 5) v))) (- v 1))))) * * * * [misc]progress: [ 32 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 (* 5 (* v v)))) (* (cbrt (- (* v v) 1)) (cbrt (- (* v v) 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (* v v) 5))) (* (cbrt (- (* v v) 1)) (cbrt (- (* v v) 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (acos (* (/ (sqrt (- 1 (* (* v v) 5))) (* (cbrt (- (* v v) 1)) (cbrt (- (* v v) 1)))) (/ (sqrt (- 1 (* 5 (* v v)))) (cbrt (- (* v v) 1)))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* 5 (* v v)))) (cbrt (- (* v v) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* (* v v) -5) 1)) (cbrt (- (* v v) 1))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (acos (* (/ (sqrt (- 1 (* 5 (* v v)))) (* (cbrt (- (* v v) 1)) (cbrt (- (* v v) 1)))) (/ (sqrt (+ (* (* v v) -5) 1)) (cbrt (- (* v v) 1)))))) * * * * [misc]progress: [ 33 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 (* 5 (* v v)))) (sqrt (- (* v v) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* (* v v) -5) 1)) (sqrt (- (* v v) 1))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (acos (* (/ (sqrt (+ (* (* v v) -5) 1)) (sqrt (- (* v v) 1))) (/ (sqrt (- 1 (* 5 (* v v)))) (sqrt (- (* v v) 1)))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* 5 (* v v)))) (sqrt (- (* v v) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* (* v v) -5) 1)) (sqrt (- (* v v) 1))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (acos (* (/ (sqrt (- 1 (* 5 (* v v)))) (sqrt (- (* v v) 1))) (/ (sqrt (+ (* (* v v) -5) 1)) (sqrt (- (* v v) 1)))))) * * * * [misc]progress: [ 34 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 (* 5 (* v v)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* (* v v) 5))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (acos (* (sqrt (- 1 (* (* v v) 5))) (/ (sqrt (- 1 (* 5 (* v v)))) (- (* v v) 1))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* 5 (* v v)))) (- (* v v) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (* v v) 5))) (+ (* v v) -1)) * [misc]simplify: Simplified (2 1 2) to (λ (v) (acos (* (sqrt (- 1 (* (* v v) 5))) (/ (sqrt (- 1 (* (* v v) 5))) (+ (* v v) -1))))) * * * * [misc]progress: [ 35 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 (* 5 (* v v)))) (+ v 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (* v 5) v))) (+ 1 v)) * [misc]simplify: Simplified (2 1 1) to (λ (v) (acos (* (/ (sqrt (- 1 (* (* v 5) v))) (+ 1 v)) (/ (sqrt (- 1 (* 5 (* v v)))) (- v 1))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* 5 (* v v)))) (- v 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (* v 5) v))) (- v 1)) * [misc]simplify: Simplified (2 1 2) to (λ (v) (acos (* (/ (sqrt (- 1 (* 5 (* v v)))) (+ v 1)) (/ (sqrt (- 1 (* (* v 5) v))) (- v 1))))) * * * * [misc]progress: [ 36 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- (* v v) 1)) (cbrt (- (* v v) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ -1 (* v v)))) (cbrt (+ -1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (acos (* (/ (/ 1 (cbrt (+ -1 (* v v)))) (cbrt (+ -1 (* v v)))) (/ (- 1 (* 5 (* v v))) (cbrt (- (* v v) 1)))))) * [enter]simplify: Simplifying (/ (- 1 (* 5 (* v v))) (cbrt (- (* v v) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (259 enodes) * [exit]simplify: Simplified to (/ (- 1 (* (* v v) 5)) (cbrt (+ (* v v) -1))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (acos (* (/ 1 (* (cbrt (- (* v v) 1)) (cbrt (- (* v v) 1)))) (/ (- 1 (* (* v v) 5)) (cbrt (+ (* v v) -1)))))) * * * * [misc]progress: [ 37 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- (* v v) 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ -1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (acos (* (/ 1 (sqrt (+ -1 (* v v)))) (/ (- 1 (* 5 (* v v))) (sqrt (- (* v v) 1)))))) * [enter]simplify: Simplifying (/ (- 1 (* 5 (* v v))) (sqrt (- (* v v) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (259 enodes) * [exit]simplify: Simplified to (/ (- 1 (* (* v v) 5)) (sqrt (+ (* v v) -1))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (acos (* (/ 1 (sqrt (- (* v v) 1))) (/ (- 1 (* (* v v) 5)) (sqrt (+ (* v v) -1)))))) * * * * [misc]progress: [ 38 / 62 ] 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) (acos (* 1 (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))) * [enter]simplify: Simplifying (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * * [misc]simplify: iters left: 2 (433 enodes) * [exit]simplify: Simplified to (/ (+ (* (* v v) -5) 1) (- (* v v) 1)) * [misc]simplify: Simplified (2 1 2) to (λ (v) (acos (* 1 (/ (+ (* (* v v) -5) 1) (- (* v v) 1))))) * * * * [misc]progress: [ 39 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ v 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (+ v 1)) * [misc]simplify: Simplified (2 1 1) to (λ (v) (acos (* (/ 1 (+ v 1)) (/ (- 1 (* 5 (* v v))) (- v 1))))) * [enter]simplify: Simplifying (/ (- 1 (* 5 (* v v))) (- v 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (/ (- 1 (* (* v v) 5)) (- v 1)) * [misc]simplify: Simplified (2 1 2) to (λ (v) (acos (* (/ 1 (+ v 1)) (/ (- 1 (* (* v v) 5)) (- v 1))))) * * * * [misc]progress: [ 40 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* v v) 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (cbrt (+ -1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (acos (/ (/ (- 1 (* 5 (* v v))) (* (cbrt (- (* v v) 1)) (cbrt (- (* v v) 1)))) (cbrt (+ -1 (* v v)))))) * * * * [misc]progress: [ 44 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* v v) 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (sqrt (+ -1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (acos (/ (/ (- 1 (* 5 (* v v))) (sqrt (- (* v v) 1))) (sqrt (+ -1 (* v v)))))) * * * * [misc]progress: [ 45 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* v v) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (- (* v v) 1) * [misc]simplify: Simplified (2 1 2) to (λ (v) (acos (/ (/ (- 1 (* 5 (* v v))) 1) (- (* v v) 1)))) * * * * [misc]progress: [ 46 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (- v 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (+ v -1) * [misc]simplify: Simplified (2 1 2) to (λ (v) (acos (/ (/ (- 1 (* 5 (* v v))) (+ v 1)) (+ v -1)))) * * * * [misc]progress: [ 47 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- 1 (* 5 (* v v)))) (cbrt (- 1 (* 5 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 (* (* v v) 5))) (cbrt (- 1 (* (* v v) 5)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (acos (/ (* (cbrt (- 1 (* (* v v) 5))) (cbrt (- 1 (* (* v v) 5)))) (/ (- (* v v) 1) (cbrt (- 1 (* 5 (* v v)))))))) * * * * [misc]progress: [ 48 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 (* 5 (* v v)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (* (* v v) -5))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (acos (/ (sqrt (+ 1 (* (* v v) -5))) (/ (- (* v v) 1) (sqrt (- 1 (* 5 (* v v)))))))) * * * * [misc]progress: [ 49 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* v v) (* v v)) (+ (* 1 1) (* (* v v) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (+ 1 (+ (* v v) (pow v 4))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (acos (* (/ (- 1 (* 5 (* v v))) (- (pow (* v v) 3) (pow 1 3))) (+ 1 (+ (* v v) (pow v 4)))))) * * * * [misc]progress: [ 51 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* v v) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (+ (* v v) 1) * [misc]simplify: Simplified (2 1 2) to (λ (v) (acos (* (/ (- 1 (* 5 (* v v))) (- (* (* v v) (* v v)) (* 1 1))) (+ (* v v) 1)))) * * * * [misc]progress: [ 52 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow 1 3) (pow (* 5 (* v v)) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (255 enodes) * [exit]simplify: Simplified to (+ 1 (* (* (* v v) (* 25 v)) (* (* v -5) (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (acos (/ (+ 1 (* (* (* v v) (* 25 v)) (* (* v -5) (* v v)))) (* (- (* v v) 1) (+ (* 1 1) (+ (* (* 5 (* v v)) (* 5 (* v v))) (* 1 (* 5 (* v v))))))))) * * * * [misc]progress: [ 53 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1 1) (* (* 5 (* v v)) (* 5 (* v v)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (270 enodes) * * [misc]simplify: iters left: 1 (316 enodes) * [exit]simplify: Simplified to (- 1 (* (pow v 4) 25)) * [misc]simplify: Simplified (2 1 1) to (λ (v) (acos (/ (- 1 (* (pow v 4) 25)) (* (- (* v v) 1) (+ 1 (* 5 (* v v))))))) * * * * [misc]progress: [ 54 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (252 enodes) * [exit]simplify: Simplified to (acos (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) * [misc]simplify: Simplified (2) to (λ (v) (acos (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))) * * * * [misc]progress: [ 55 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (252 enodes) * [exit]simplify: Simplified to (acos (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) * [misc]simplify: Simplified (2) to (λ (v) (acos (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))) * * * * [misc]progress: [ 56 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (252 enodes) * [exit]simplify: Simplified to (acos (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) * [misc]simplify: Simplified (2) to (λ (v) (acos (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))) * * * * [misc]progress: [ 57 / 62 ] 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) (acos (/ (- 1 (* (* v v) 5)) (- (* v v) 1)))) * * * * [misc]progress: [ 58 / 62 ] 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) (acos (/ (- 1 (* (* v v) 5)) (- (* v v) 1)))) * * * * [misc]progress: [ 59 / 62 ] 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) (acos (/ (- 1 (* (* v v) 5)) (- (* v v) 1)))) * * * * [misc]progress: [ 60 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4 (pow v 4)) (* 4 (pow v 2))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (+ -1 (* (+ (* v v) (pow v 4)) 4)) * [misc]simplify: Simplified (2 1) to (λ (v) (acos (+ -1 (* (+ (* v v) (pow v 4)) 4)))) * * * * [misc]progress: [ 61 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4 (/ 1 (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (216 enodes) * [exit]simplify: Simplified to (- (- -5 (/ 4 (pow v 4))) (/ (/ 4 v) v)) * [misc]simplify: Simplified (2 1) to (λ (v) (acos (- (- -5 (/ 4 (pow v 4))) (/ (/ 4 v) v)))) * * * * [misc]progress: [ 62 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4 (/ 1 (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (216 enodes) * [exit]simplify: Simplified to (- (- -5 (/ 4 (pow v 4))) (/ (/ 4 v) v)) * [misc]simplify: Simplified (2 1) to (λ (v) (acos (- (- -5 (/ 4 (pow v 4))) (/ (/ 4 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 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) in v * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) into (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) * [misc]taylor: Taking taylor expansion of (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) in v * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) into (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) into (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) * [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 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) into (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) * [misc]approximate: Taking taylor expansion of (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) in v * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) into (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [misc]taylor: Taking taylor expansion of (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) in v * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) into (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) into (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [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 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (/ 1 (pow (/ 1 v) 2)))) (- (/ 1 (pow (/ 1 v) 2)) 1))) into (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) * [misc]approximate: Taking taylor expansion of (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) in v * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) into (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [misc]taylor: Taking taylor expansion of (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) in v * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) into (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) into (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [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 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (/ 1 (pow (/ 1 (- v)) 2)))) (- (/ 1 (pow (/ 1 (- v)) 2)) 1))) into (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 1 2) * [misc]approximate: Taking taylor expansion of (* 5 (* v v)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* 5 (* v v)) in v * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [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 (* v v)) in v * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [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 (* 5 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 5 1) (+ (* 0 0) (* 0 0))) 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 (+ (* 5 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 5 (pow v 2)) into (* 5 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* 5 (* (/ 1 v) (/ 1 v))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* 5 (* (/ 1 v) (/ 1 v))) in v * [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)) 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 (* (/ 1 v) (/ 1 v))) in v * [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)) 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 (* 5 1) 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 (+ (* 5 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 5 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 (* 5 (pow (/ 1 (/ 1 v)) 2)) into (* 5 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* 5 (* (/ 1 (- v)) (/ 1 (- v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* 5 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [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))) 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 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [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))) 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 (* 5 1) 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 (+ (* 5 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 5 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 (* 5 (pow (/ 1 (/ 1 (- v))) 2)) into (* 5 (pow v 2)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (- (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) in v * [misc]taylor: Taking taylor expansion of (/ PI 2) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) in v * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) into (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) * [misc]taylor: Taking taylor expansion of (- (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) in v * [misc]taylor: Taking taylor expansion of (/ PI 2) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) in v * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) into (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) * [misc]backup-simplify: Simplify (- (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) into (- (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (- (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) into (- (* 1/2 PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) * [misc]backup-simplify: Simplify (- (* 1/2 PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) into (- (* 1/2 PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) 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 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) 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 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (* 1/2 PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) into (- (* 1/2 PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) * [misc]approximate: Taking taylor expansion of (- (/ PI 2) (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (- (/ PI 2) (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1)))) in v * [misc]taylor: Taking taylor expansion of (/ PI 2) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) in v * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) into (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [misc]taylor: Taking taylor expansion of (- (/ PI 2) (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1)))) in v * [misc]taylor: Taking taylor expansion of (/ PI 2) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) in v * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) into (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [misc]backup-simplify: Simplify (- (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))) into (- (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (- (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) into (- (* 1/2 PI) (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))) * [misc]backup-simplify: Simplify (- (* 1/2 PI) (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))) into (- (* 1/2 PI) (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) 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 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) 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 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (* 1/2 PI) (asin (/ (- 1 (* 5 (/ 1 (pow (/ 1 v) 2)))) (- (/ 1 (pow (/ 1 v) 2)) 1)))) into (- (* 1/2 PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) * [misc]approximate: Taking taylor expansion of (- (/ PI 2) (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (- (/ PI 2) (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1)))) in v * [misc]taylor: Taking taylor expansion of (/ PI 2) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) in v * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) into (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [misc]taylor: Taking taylor expansion of (- (/ PI 2) (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1)))) in v * [misc]taylor: Taking taylor expansion of (/ PI 2) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) in v * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) into (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [misc]backup-simplify: Simplify (- (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))) into (- (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (- (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) into (- (* 1/2 PI) (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))) * [misc]backup-simplify: Simplify (- (* 1/2 PI) (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))) into (- (* 1/2 PI) (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) 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 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) 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 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (* 1/2 PI) (asin (/ (- 1 (* 5 (/ 1 (pow (/ 1 (- v)) 2)))) (- (/ 1 (pow (/ 1 (- v)) 2)) 1)))) into (- (* 1/2 PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) in v * [misc]taylor: Taking taylor expansion of (- 1 (* 5 (* 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 (* 5 (* v v)) in v * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [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) 1) 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 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 5 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) in v * [misc]taylor: Taking taylor expansion of (- 1 (* 5 (* 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 (* 5 (* v v)) in v * [misc]taylor: Taking taylor expansion of 5 in v * [misc]backup-simplify: Simplify 5 into 5 * [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) 1) 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 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 5 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)))) 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 (+ (* 5 1) (+ (* 0 0) (* 0 0))) into 5 * [misc]backup-simplify: Simplify (- 5) into -5 * [misc]backup-simplify: Simplify (+ 0 -5) into -5 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ -5 -1) (+ (* -1 (/ 1 -1)) (* 0 (/ 0 -1)))) into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* 0 (/ 1 -1)) (* 4 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 4 (/ 1 -1)) (* 0 (/ 0 -1)))) into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (+ (* 4 (pow v 4)) (+ (* 4 (pow v 2)) -1)) into (- (+ (* 4 (pow v 4)) (* 4 (pow v 2))) 1) * [misc]approximate: Taking taylor expansion of (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1)) in v * [misc]taylor: Taking taylor expansion of (- 1 (* 5 (* (/ 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 (* 5 (* (/ 1 v) (/ 1 v))) in v * [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)) 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)) 1) 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 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 5 1) into 5 * [misc]backup-simplify: Simplify (- 5) into -5 * [misc]backup-simplify: Simplify (+ 0 -5) into -5 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ -5 1) into -5 * [misc]taylor: Taking taylor expansion of (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1)) in v * [misc]taylor: Taking taylor expansion of (- 1 (* 5 (* (/ 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 (* 5 (* (/ 1 v) (/ 1 v))) in v * [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)) 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)) 1) 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 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 5 1) into 5 * [misc]backup-simplify: Simplify (- 5) into -5 * [misc]backup-simplify: Simplify (+ 0 -5) into -5 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ -5 1) 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 (+ (* 5 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 (/ 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -5 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 5 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 (/ 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) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* -5 (/ -1 1)) (* 0 (/ 0 1)))) into -4 * [misc]backup-simplify: Simplify -4 into -4 * [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 (+ (* 5 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -5 (/ 0 1)) (* 0 (/ -1 1)) (* -4 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 5 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -5 (/ 0 1)) (* 0 (/ 0 1)) (* -4 (/ -1 1)) (* 0 (/ 0 1)))) into -4 * [misc]backup-simplify: Simplify -4 into -4 * [misc]backup-simplify: Simplify (+ (* -4 (pow (/ 1 v) 4)) (+ (* -4 (pow (/ 1 v) 2)) -5)) into (- (+ (* 4 (/ 1 (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))) * [misc]approximate: Taking taylor expansion of (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1)) in v * [misc]taylor: Taking taylor expansion of (- 1 (* 5 (* (/ 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 (* 5 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [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))) 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))) 1) 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 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 5 1) into 5 * [misc]backup-simplify: Simplify (- 5) into -5 * [misc]backup-simplify: Simplify (+ 0 -5) into -5 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ -5 1) into -5 * [misc]taylor: Taking taylor expansion of (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1)) in v * [misc]taylor: Taking taylor expansion of (- 1 (* 5 (* (/ 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 (* 5 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [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))) 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))) 1) 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 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 5 1) into 5 * [misc]backup-simplify: Simplify (- 5) into -5 * [misc]backup-simplify: Simplify (+ 0 -5) into -5 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ -5 1) 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 (+ (* 5 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 (- 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -5 (/ 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 (+ (* 5 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 (- 1) into -1 * [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) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* -5 (/ -1 1)) (* 0 (/ 0 1)))) into -4 * [misc]backup-simplify: Simplify -4 into -4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [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 (+ (* 5 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -5 (/ 0 1)) (* 0 (/ -1 1)) (* -4 (/ 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 (+ (* 5 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -5 (/ 0 1)) (* 0 (/ 0 1)) (* -4 (/ -1 1)) (* 0 (/ 0 1)))) into -4 * [misc]backup-simplify: Simplify -4 into -4 * [misc]backup-simplify: Simplify (+ (* -4 (pow (/ 1 (- v)) 4)) (+ (* -4 (pow (/ 1 (- v)) 2)) -5)) into (- (+ (* 4 (/ 1 (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (/ PI 2)) (exp (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * * [misc]simplify: iters left: 2 (446 enodes) * [exit]simplify: Simplified to (exp (- (/ PI 2) (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1))))) * [misc]simplify: Simplified (2 1) to (λ (v) (log (exp (- (/ PI 2) (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1))))))) * * * * [misc]progress: [ 19 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (/ PI 2)) (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * * [misc]simplify: iters left: 2 (441 enodes) * [exit]simplify: Simplified to (+ (sqrt (/ PI 2)) (sqrt (asin (- (/ 1 (- (* v v) 1)) (/ (* (* v v) 5) (- (* v v) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (+ (sqrt (/ PI 2)) (sqrt (asin (- (/ 1 (- (* v v) 1)) (/ (* (* v v) 5) (- (* v v) 1)))))) (- (sqrt (/ PI 2)) (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))) * [enter]simplify: Simplifying (- (sqrt (/ PI 2)) (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (180 enodes) * * [misc]simplify: iters left: 2 (440 enodes) * [exit]simplify: Simplified to (- (sqrt (/ PI 2)) (sqrt (asin (- (/ 1 (+ (* v v) -1)) (/ (* (* v v) 5) (+ (* v v) -1)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (+ (sqrt (/ PI 2)) (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))) (- (sqrt (/ PI 2)) (sqrt (asin (- (/ 1 (+ (* v v) -1)) (/ (* (* v v) 5) (+ (* v v) -1)))))))) * * * * [misc]progress: [ 30 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (433 enodes) * [exit]simplify: Simplified to (- (/ PI 2) (asin (/ (+ 1 (* -5 (* v v))) (- (* v v) 1)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* 1 (- (/ PI 2) (asin (/ (+ 1 (* -5 (* v v))) (- (* v v) 1)))))) * * * * [misc]progress: [ 31 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * * [misc]simplify: iters left: 2 (429 enodes) * [exit]simplify: Simplified to (acos (/ (- 1 (* (* v v) 5)) (+ (* v v) -1))) * [misc]simplify: Simplified (2 2) to (λ (v) (+ (- (/ PI 2) (/ PI 2)) (acos (/ (- 1 (* (* v v) 5)) (+ (* v v) -1))))) * * * * [misc]progress: [ 32 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- 1 (* 5 (* v v)))) (log (- (* v v) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (- (log (+ (* v (* -5 v)) 1)) (log (+ (* v v) -1))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (- (/ PI 2) (asin (exp (- (log (+ (* v (* -5 v)) 1)) (log (+ (* v v) -1))))))) * * * * [misc]progress: [ 35 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- 1 (* 5 (* v v))) (- 1 (* 5 (* v v)))) (- 1 (* 5 (* v v)))) (* (* (- (* v v) 1) (- (* v v) 1)) (- (* v v) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (460 enodes) * [exit]simplify: Simplified to (pow (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)) 3) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (- (/ PI 2) (asin (cbrt (pow (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)) 3))))) * * * * [misc]progress: [ 38 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (* v v) 1)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (/ 1 (+ -1 (* v v))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (- (/ PI 2) (asin (- (/ 1 (+ -1 (* v v))) (/ (* 5 (* v v)) (- (* v v) 1)))))) * * * * [misc]progress: [ 43 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 (* 5 (* v v)))) (cbrt (- 1 (* 5 (* v v))))) (* (cbrt (- (* v v) 1)) (cbrt (- (* v v) 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 (* (* v v) 5))) (cbrt (+ -1 (* v v)))) (/ (cbrt (- 1 (* (* v v) 5))) (cbrt (+ -1 (* v v))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (- (/ PI 2) (asin (* (* (/ (cbrt (- 1 (* (* v v) 5))) (cbrt (+ -1 (* v v)))) (/ (cbrt (- 1 (* (* v v) 5))) (cbrt (+ -1 (* v v))))) (/ (cbrt (- 1 (* 5 (* v v)))) (cbrt (- (* v v) 1))))))) * [enter]simplify: Simplifying (/ (cbrt (- 1 (* 5 (* v v)))) (cbrt (- (* v v) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* (* v v) -5) 1)) (cbrt (- (* v v) 1))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (- (/ PI 2) (asin (* (/ (* (cbrt (- 1 (* 5 (* v v)))) (cbrt (- 1 (* 5 (* v v))))) (* (cbrt (- (* v v) 1)) (cbrt (- (* v v) 1)))) (/ (cbrt (+ (* (* v v) -5) 1)) (cbrt (- (* v v) 1))))))) * * * * [misc]progress: [ 44 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 (* 5 (* v v)))) (cbrt (- 1 (* 5 (* v v))))) (sqrt (- (* v v) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 (* (* v v) 5))) (/ (sqrt (- (* v v) 1)) (cbrt (- 1 (* (* v v) 5))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (- (/ PI 2) (asin (* (/ (cbrt (- 1 (* (* v v) 5))) (/ (sqrt (- (* v v) 1)) (cbrt (- 1 (* (* v v) 5))))) (/ (cbrt (- 1 (* 5 (* v v)))) (sqrt (- (* v v) 1))))))) * [enter]simplify: Simplifying (/ (cbrt (- 1 (* 5 (* v v)))) (sqrt (- (* v v) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* (* v v) -5) 1)) (sqrt (- (* v v) 1))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (- (/ PI 2) (asin (* (/ (* (cbrt (- 1 (* 5 (* v v)))) (cbrt (- 1 (* 5 (* v v))))) (sqrt (- (* v v) 1))) (/ (cbrt (+ (* (* v v) -5) 1)) (sqrt (- (* v v) 1))))))) * * * * [misc]progress: [ 45 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 (* 5 (* v v)))) (cbrt (- 1 (* 5 (* v v))))) 1) * * [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 (48 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 (* (* v 5) v))) (cbrt (- 1 (* (* v 5) v)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (- (/ PI 2) (asin (* (* (cbrt (- 1 (* (* v 5) v))) (cbrt (- 1 (* (* v 5) v)))) (/ (cbrt (- 1 (* 5 (* v v)))) (- (* v v) 1)))))) * [enter]simplify: Simplifying (/ (cbrt (- 1 (* 5 (* v v)))) (- (* v v) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 (* (* v v) 5))) (+ (* v v) -1)) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (- (/ PI 2) (asin (* (* (cbrt (- 1 (* (* v 5) v))) (cbrt (- 1 (* (* v 5) v)))) (/ (cbrt (- 1 (* (* v v) 5))) (+ (* v v) -1)))))) * * * * [misc]progress: [ 46 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 (* 5 (* v v)))) (cbrt (- 1 (* 5 (* v v))))) (+ v 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 (* (* v v) 5))) (+ 1 v)) (cbrt (- 1 (* (* v v) 5)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (- (/ PI 2) (asin (* (* (/ (cbrt (- 1 (* (* v v) 5))) (+ 1 v)) (cbrt (- 1 (* (* v v) 5)))) (/ (cbrt (- 1 (* 5 (* v v)))) (- v 1)))))) * [enter]simplify: Simplifying (/ (cbrt (- 1 (* 5 (* v v)))) (- v 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 (* (* v 5) v))) (- v 1)) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (- (/ PI 2) (asin (* (/ (* (cbrt (- 1 (* 5 (* v v)))) (cbrt (- 1 (* 5 (* v v))))) (+ v 1)) (/ (cbrt (- 1 (* (* v 5) v))) (- v 1)))))) * * * * [misc]progress: [ 47 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 (* 5 (* v v)))) (* (cbrt (- (* v v) 1)) (cbrt (- (* v v) 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (* v v) 5))) (* (cbrt (- (* v v) 1)) (cbrt (- (* v v) 1)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (- (/ PI 2) (asin (* (/ (sqrt (- 1 (* (* v v) 5))) (* (cbrt (- (* v v) 1)) (cbrt (- (* v v) 1)))) (/ (sqrt (- 1 (* 5 (* v v)))) (cbrt (- (* v v) 1))))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* 5 (* v v)))) (cbrt (- (* v v) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* (* v v) -5) 1)) (cbrt (- (* v v) 1))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (- (/ PI 2) (asin (* (/ (sqrt (- 1 (* 5 (* v v)))) (* (cbrt (- (* v v) 1)) (cbrt (- (* v v) 1)))) (/ (sqrt (+ (* (* v v) -5) 1)) (cbrt (- (* v v) 1))))))) * * * * [misc]progress: [ 48 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 (* 5 (* v v)))) (sqrt (- (* v v) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* (* v v) -5) 1)) (sqrt (- (* v v) 1))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (- (/ PI 2) (asin (* (/ (sqrt (+ (* (* v v) -5) 1)) (sqrt (- (* v v) 1))) (/ (sqrt (- 1 (* 5 (* v v)))) (sqrt (- (* v v) 1))))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* 5 (* v v)))) (sqrt (- (* v v) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* (* v v) -5) 1)) (sqrt (- (* v v) 1))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (- (/ PI 2) (asin (* (/ (sqrt (- 1 (* 5 (* v v)))) (sqrt (- (* v v) 1))) (/ (sqrt (+ (* (* v v) -5) 1)) (sqrt (- (* v v) 1))))))) * * * * [misc]progress: [ 49 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 (* 5 (* v v)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* (* v v) 5))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (- (/ PI 2) (asin (* (sqrt (- 1 (* (* v v) 5))) (/ (sqrt (- 1 (* 5 (* v v)))) (- (* v v) 1)))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* 5 (* v v)))) (- (* v v) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (* v v) 5))) (+ (* v v) -1)) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (- (/ PI 2) (asin (* (sqrt (- 1 (* (* v v) 5))) (/ (sqrt (- 1 (* (* v v) 5))) (+ (* v v) -1)))))) * * * * [misc]progress: [ 50 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 (* 5 (* v v)))) (+ v 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (* v 5) v))) (+ 1 v)) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (- (/ PI 2) (asin (* (/ (sqrt (- 1 (* (* v 5) v))) (+ 1 v)) (/ (sqrt (- 1 (* 5 (* v v)))) (- v 1)))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* 5 (* v v)))) (- v 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (* v 5) v))) (- v 1)) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (- (/ PI 2) (asin (* (/ (sqrt (- 1 (* 5 (* v v)))) (+ v 1)) (/ (sqrt (- 1 (* (* v 5) v))) (- v 1)))))) * * * * [misc]progress: [ 51 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- (* v v) 1)) (cbrt (- (* v v) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ -1 (* v v)))) (cbrt (+ -1 (* v v)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (- (/ PI 2) (asin (* (/ (/ 1 (cbrt (+ -1 (* v v)))) (cbrt (+ -1 (* v v)))) (/ (- 1 (* 5 (* v v))) (cbrt (- (* v v) 1))))))) * [enter]simplify: Simplifying (/ (- 1 (* 5 (* v v))) (cbrt (- (* v v) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (259 enodes) * [exit]simplify: Simplified to (/ (- 1 (* (* v v) 5)) (cbrt (+ (* v v) -1))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (- (/ PI 2) (asin (* (/ 1 (* (cbrt (- (* v v) 1)) (cbrt (- (* v v) 1)))) (/ (- 1 (* (* v v) 5)) (cbrt (+ (* v v) -1))))))) * * * * [misc]progress: [ 52 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- (* v v) 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ -1 (* v v)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (- (/ PI 2) (asin (* (/ 1 (sqrt (+ -1 (* v v)))) (/ (- 1 (* 5 (* v v))) (sqrt (- (* v v) 1))))))) * [enter]simplify: Simplifying (/ (- 1 (* 5 (* v v))) (sqrt (- (* v v) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (259 enodes) * [exit]simplify: Simplified to (/ (- 1 (* (* v v) 5)) (sqrt (+ (* v v) -1))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (- (/ PI 2) (asin (* (/ 1 (sqrt (- (* v v) 1))) (/ (- 1 (* (* v v) 5)) (sqrt (+ (* v v) -1))))))) * * * * [misc]progress: [ 53 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (- (/ PI 2) (asin (* 1 (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))) * [enter]simplify: Simplifying (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * * [misc]simplify: iters left: 2 (433 enodes) * [exit]simplify: Simplified to (/ (+ (* (* v v) -5) 1) (- (* v v) 1)) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (- (/ PI 2) (asin (* 1 (/ (+ (* (* v v) -5) 1) (- (* v v) 1)))))) * * * * [misc]progress: [ 54 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ v 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (+ v 1)) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (- (/ PI 2) (asin (* (/ 1 (+ v 1)) (/ (- 1 (* 5 (* v v))) (- v 1)))))) * [enter]simplify: Simplifying (/ (- 1 (* 5 (* v v))) (- v 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (/ (- 1 (* (* v v) 5)) (- v 1)) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (- (/ PI 2) (asin (* (/ 1 (+ v 1)) (/ (- 1 (* (* v v) 5)) (- v 1)))))) * * * * [misc]progress: [ 55 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* v v) 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (cbrt (+ -1 (* v v))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (- (/ PI 2) (asin (/ (/ (- 1 (* 5 (* v v))) (* (cbrt (- (* v v) 1)) (cbrt (- (* v v) 1)))) (cbrt (+ -1 (* v v))))))) * * * * [misc]progress: [ 59 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* v v) 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (sqrt (+ -1 (* v v))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (- (/ PI 2) (asin (/ (/ (- 1 (* 5 (* v v))) (sqrt (- (* v v) 1))) (sqrt (+ -1 (* v v))))))) * * * * [misc]progress: [ 60 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* v v) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (- (* v v) 1) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (- (/ PI 2) (asin (/ (/ (- 1 (* 5 (* v v))) 1) (- (* v v) 1))))) * * * * [misc]progress: [ 61 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- v 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (+ v -1) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (- (/ PI 2) (asin (/ (/ (- 1 (* 5 (* v v))) (+ v 1)) (+ v -1))))) * * * * [misc]progress: [ 62 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- 1 (* 5 (* v v)))) (cbrt (- 1 (* 5 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 (* (* v v) 5))) (cbrt (- 1 (* (* v v) 5)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (- (/ PI 2) (asin (/ (* (cbrt (- 1 (* (* v v) 5))) (cbrt (- 1 (* (* v v) 5)))) (/ (- (* v v) 1) (cbrt (- 1 (* 5 (* v v))))))))) * * * * [misc]progress: [ 63 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 (* 5 (* v v)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (* (* v v) -5))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (- (/ PI 2) (asin (/ (sqrt (+ 1 (* (* v v) -5))) (/ (- (* v v) 1) (sqrt (- 1 (* 5 (* v v))))))))) * * * * [misc]progress: [ 64 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* v v) (* v v)) (+ (* 1 1) (* (* v v) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (+ 1 (+ (* v v) (pow v 4))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (- (/ PI 2) (asin (* (/ (- 1 (* 5 (* v v))) (- (pow (* v v) 3) (pow 1 3))) (+ 1 (+ (* v v) (pow v 4))))))) * * * * [misc]progress: [ 66 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* v v) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (+ (* v v) 1) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (- (/ PI 2) (asin (* (/ (- 1 (* 5 (* v v))) (- (* (* v v) (* v v)) (* 1 1))) (+ (* v v) 1))))) * * * * [misc]progress: [ 67 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow 1 3) (pow (* 5 (* v v)) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (255 enodes) * [exit]simplify: Simplified to (+ 1 (* (* (* v v) (* 25 v)) (* (* v -5) (* v v)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (- (/ PI 2) (asin (/ (+ 1 (* (* (* v v) (* 25 v)) (* (* v -5) (* v v)))) (* (- (* v v) 1) (+ (* 1 1) (+ (* (* 5 (* v v)) (* 5 (* v v))) (* 1 (* 5 (* v v)))))))))) * * * * [misc]progress: [ 68 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1 1) (* (* 5 (* v v)) (* 5 (* v v)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (270 enodes) * * [misc]simplify: iters left: 1 (316 enodes) * [exit]simplify: Simplified to (- 1 (* (pow v 4) 25)) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (- (/ PI 2) (asin (/ (- 1 (* (pow v 4) 25)) (* (- (* v v) 1) (+ 1 (* 5 (* v v)))))))) * * * * [misc]progress: [ 69 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (252 enodes) * [exit]simplify: Simplified to (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) * [misc]simplify: Simplified (2 2) to (λ (v) (- (/ PI 2) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))))) * * * * [misc]progress: [ 70 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (252 enodes) * [exit]simplify: Simplified to (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) * [misc]simplify: Simplified (2 2) to (λ (v) (- (/ PI 2) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))))) * * * * [misc]progress: [ 71 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (252 enodes) * [exit]simplify: Simplified to (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) * [misc]simplify: Simplified (2 2) to (λ (v) (- (/ PI 2) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))))) * * * * [misc]progress: [ 72 / 80 ] 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 2 1 1 2) to (λ (v) (- (/ PI 2) (asin (/ (- 1 (* (* v v) 5)) (- (* v v) 1))))) * * * * [misc]progress: [ 73 / 80 ] 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 2 1 1 2) to (λ (v) (- (/ PI 2) (asin (/ (- 1 (* (* v v) 5)) (- (* v v) 1))))) * * * * [misc]progress: [ 74 / 80 ] 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 2 1 1 2) to (λ (v) (- (/ PI 2) (asin (/ (- 1 (* (* v v) 5)) (- (* v v) 1))))) * * * * [misc]progress: [ 75 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/2 PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * [exit]simplify: Simplified to (- (* 1/2 PI) (asin (/ (- 1 (* (* v v) 5)) (- (* v v) 1)))) * [misc]simplify: Simplified (2) to (λ (v) (- (* 1/2 PI) (asin (/ (- 1 (* (* v v) 5)) (- (* v v) 1))))) * * * * [misc]progress: [ 76 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/2 PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * [exit]simplify: Simplified to (- (* 1/2 PI) (asin (/ (- 1 (* (* v v) 5)) (- (* v v) 1)))) * [misc]simplify: Simplified (2) to (λ (v) (- (* 1/2 PI) (asin (/ (- 1 (* (* v v) 5)) (- (* v v) 1))))) * * * * [misc]progress: [ 77 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/2 PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * [exit]simplify: Simplified to (- (* 1/2 PI) (asin (/ (- 1 (* (* v v) 5)) (- (* v v) 1)))) * [misc]simplify: Simplified (2) to (λ (v) (- (* 1/2 PI) (asin (/ (- 1 (* (* v v) 5)) (- (* v v) 1))))) * * * * [misc]progress: [ 78 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4 (pow v 4)) (* 4 (pow v 2))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (+ -1 (* (+ (* v v) (pow v 4)) 4)) * [misc]simplify: Simplified (2 2 1) to (λ (v) (- (/ PI 2) (asin (+ -1 (* (+ (* v v) (pow v 4)) 4))))) * * * * [misc]progress: [ 79 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4 (/ 1 (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (216 enodes) * [exit]simplify: Simplified to (- (- -5 (/ 4 (pow v 4))) (/ (/ 4 v) v)) * [misc]simplify: Simplified (2 2 1) to (λ (v) (- (/ PI 2) (asin (- (- -5 (/ 4 (pow v 4))) (/ (/ 4 v) v))))) * * * * [misc]progress: [ 80 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4 (/ 1 (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (216 enodes) * [exit]simplify: Simplified to (- (- -5 (/ 4 (pow v 4))) (/ (/ 4 v) v)) * [misc]simplify: Simplified (2 2 1) to (λ (v) (- (/ PI 2) (asin (- (- -5 (/ 4 (pow v 4))) (/ (/ 4 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 2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))) in v * [misc]taylor: Taking taylor expansion of (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) in v * [misc]taylor: Taking taylor expansion of (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) in v * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) into (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) * [misc]taylor: Taking taylor expansion of (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) in v * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) into (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) in v * [misc]taylor: Taking taylor expansion of (/ PI 2) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) in v * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) into (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) * [misc]taylor: Taking taylor expansion of (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))) in v * [misc]taylor: Taking taylor expansion of (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) in v * [misc]taylor: Taking taylor expansion of (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) in v * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) into (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) * [misc]taylor: Taking taylor expansion of (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) in v * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) into (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) in v * [misc]taylor: Taking taylor expansion of (/ PI 2) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) in v * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) into (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) * [misc]backup-simplify: Simplify (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) into (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) * [misc]backup-simplify: Simplify (* (* 1/2 PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) into (* 1/2 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) PI)) * [misc]backup-simplify: Simplify (+ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (* 1/2 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) PI))) into (+ (* 1/2 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) PI)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) * [misc]backup-simplify: Simplify (+ (* 1/2 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) PI)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) into (+ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (* 1/2 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) PI))) * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 0) (* 0 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (* 0 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (* 1/2 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) PI))) into (+ (* 1/2 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) PI)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) * [misc]approximate: Taking taylor expansion of (+ (* (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))))) in v * [misc]taylor: Taking taylor expansion of (* (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1)))) in v * [misc]taylor: Taking taylor expansion of (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) in v * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) into (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [misc]taylor: Taking taylor expansion of (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) in v * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) into (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1)))) in v * [misc]taylor: Taking taylor expansion of (/ PI 2) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) in v * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) into (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [misc]taylor: Taking taylor expansion of (+ (* (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))))) in v * [misc]taylor: Taking taylor expansion of (* (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1)))) in v * [misc]taylor: Taking taylor expansion of (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) in v * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) into (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [misc]taylor: Taking taylor expansion of (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) in v * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) into (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1)))) in v * [misc]taylor: Taking taylor expansion of (/ PI 2) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) in v * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) into (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [misc]backup-simplify: Simplify (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))) into (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) * [misc]backup-simplify: Simplify (* (* 1/2 PI) (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))) into (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) * [misc]backup-simplify: Simplify (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))))) into (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2)) * [misc]backup-simplify: Simplify (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2)) into (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2)) * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow (/ 1 v) 2)))) (- (/ 1 (pow (/ 1 v) 2)) 1))))) (pow (asin (/ (- 1 (* 5 (/ 1 (pow (/ 1 v) 2)))) (- (/ 1 (pow (/ 1 v) 2)) 1))) 2)) into (+ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (* 1/2 (* PI (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))) * [misc]approximate: Taking taylor expansion of (+ (* (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))))) in v * [misc]taylor: Taking taylor expansion of (* (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1)))) in v * [misc]taylor: Taking taylor expansion of (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) in v * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) into (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [misc]taylor: Taking taylor expansion of (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) in v * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) into (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1)))) in v * [misc]taylor: Taking taylor expansion of (/ PI 2) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) in v * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) into (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [misc]taylor: Taking taylor expansion of (+ (* (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))))) in v * [misc]taylor: Taking taylor expansion of (* (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1)))) in v * [misc]taylor: Taking taylor expansion of (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) in v * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) into (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [misc]taylor: Taking taylor expansion of (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) in v * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) into (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1)))) in v * [misc]taylor: Taking taylor expansion of (/ PI 2) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) in v * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) into (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [misc]backup-simplify: Simplify (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))) into (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) * [misc]backup-simplify: Simplify (* (* 1/2 PI) (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))) into (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) * [misc]backup-simplify: Simplify (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))))) into (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2)) * [misc]backup-simplify: Simplify (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2)) into (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2)) * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow (/ 1 (- v)) 2)))) (- (/ 1 (pow (/ 1 (- v)) 2)) 1))))) (pow (asin (/ (- 1 (* 5 (/ 1 (pow (/ 1 (- v)) 2)))) (- (/ 1 (pow (/ 1 (- v)) 2)) 1))) 2)) into (+ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (* 1/2 (* PI (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3) in (v) around 0 * [misc]taylor: Taking taylor expansion of (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3) in v * [misc]taylor: Taking taylor expansion of (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) in v * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) into (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) * [misc]taylor: Taking taylor expansion of (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3) in v * [misc]taylor: Taking taylor expansion of (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) in v * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) into (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) * [misc]backup-simplify: Simplify (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) into (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) * [misc]backup-simplify: Simplify (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) into (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) * [misc]backup-simplify: Simplify (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) into (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 0) (* 0 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 0) (* 0 (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 0) (+ (* 0 0) (* 0 (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) into (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) * [misc]approximate: Taking taylor expansion of (pow (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) 3) in (v) around 0 * [misc]taylor: Taking taylor expansion of (pow (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) 3) in v * [misc]taylor: Taking taylor expansion of (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) in v * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) into (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [misc]taylor: Taking taylor expansion of (pow (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) 3) in v * [misc]taylor: Taking taylor expansion of (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) in v * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) into (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [misc]backup-simplify: Simplify (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))) into (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) * [misc]backup-simplify: Simplify (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2)) into (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 3) * [misc]backup-simplify: Simplify (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 3) into (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 3) * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (* 0 (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (+ (* 0 0) (* 0 (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (asin (/ (- 1 (* 5 (/ 1 (pow (/ 1 v) 2)))) (- (/ 1 (pow (/ 1 v) 2)) 1))) 3) into (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) * [misc]approximate: Taking taylor expansion of (pow (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) 3) in (v) around 0 * [misc]taylor: Taking taylor expansion of (pow (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) 3) in v * [misc]taylor: Taking taylor expansion of (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) in v * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) into (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [misc]taylor: Taking taylor expansion of (pow (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) 3) in v * [misc]taylor: Taking taylor expansion of (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) in v * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) into (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [misc]backup-simplify: Simplify (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))) into (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) * [misc]backup-simplify: Simplify (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2)) into (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 3) * [misc]backup-simplify: Simplify (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 3) into (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 3) * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (* 0 (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (+ (* 0 0) (* 0 (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (asin (/ (- 1 (* 5 (/ 1 (pow (/ 1 (- v)) 2)))) (- (/ 1 (pow (/ 1 (- v)) 2)) 1))) 3) into (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))) in v * [misc]taylor: Taking taylor expansion of (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) in v * [misc]taylor: Taking taylor expansion of (pow (/ PI 2) 3) in v * [misc]taylor: Taking taylor expansion of (/ PI 2) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3) in v * [misc]taylor: Taking taylor expansion of (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) in v * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) into (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) * [misc]taylor: Taking taylor expansion of (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))) in v * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ PI 2)) in v * [misc]taylor: Taking taylor expansion of (/ PI 2) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ PI 2) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))) in v * [misc]taylor: Taking taylor expansion of (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) in v * [misc]taylor: Taking taylor expansion of (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) in v * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) into (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) * [misc]taylor: Taking taylor expansion of (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) in v * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) into (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) in v * [misc]taylor: Taking taylor expansion of (/ PI 2) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) in v * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) into (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) * [misc]backup-simplify: Simplify (* (* 1/2 PI) (* 1/2 PI)) into (* 1/4 (pow PI 2)) * [misc]backup-simplify: Simplify (* (* 1/2 PI) (* 1/4 (pow PI 2))) into (* 1/8 (pow PI 3)) * [misc]backup-simplify: Simplify (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) into (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) * [misc]backup-simplify: Simplify (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) into (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) * [misc]backup-simplify: Simplify (- (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) into (- (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) * [misc]backup-simplify: Simplify (+ (* 1/8 (pow PI 3)) (- (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))) into (- (* 1/8 (pow PI 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) * [misc]backup-simplify: Simplify (* (* 1/2 PI) (* 1/2 PI)) into (* 1/4 (pow PI 2)) * [misc]backup-simplify: Simplify (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) into (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) * [misc]backup-simplify: Simplify (* (* 1/2 PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) into (* 1/2 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) PI)) * [misc]backup-simplify: Simplify (+ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (* 1/2 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) PI))) into (+ (* 1/2 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) PI)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) * [misc]backup-simplify: Simplify (+ (* 1/4 (pow PI 2)) (+ (* 1/2 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) PI)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))) into (+ (* 1/2 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) PI)) (+ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (* 1/4 (pow PI 2)))) * [misc]backup-simplify: Simplify (/ (- (* 1/8 (pow PI 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/2 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) PI)) (+ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (* 1/4 (pow PI 2))))) into (/ (- (* 1/8 (pow PI 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (* 1/2 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) PI)) (* 1/4 (pow PI 2))))) * [misc]taylor: Taking taylor expansion of (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))) in v * [misc]taylor: Taking taylor expansion of (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) in v * [misc]taylor: Taking taylor expansion of (pow (/ PI 2) 3) in v * [misc]taylor: Taking taylor expansion of (/ PI 2) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3) in v * [misc]taylor: Taking taylor expansion of (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) in v * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) into (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) * [misc]taylor: Taking taylor expansion of (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))) in v * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ PI 2)) in v * [misc]taylor: Taking taylor expansion of (/ PI 2) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ PI 2) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))) in v * [misc]taylor: Taking taylor expansion of (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) in v * [misc]taylor: Taking taylor expansion of (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) in v * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) into (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) * [misc]taylor: Taking taylor expansion of (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) in v * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) into (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) in v * [misc]taylor: Taking taylor expansion of (/ PI 2) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) in v * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) into (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) * [misc]backup-simplify: Simplify (* (* 1/2 PI) (* 1/2 PI)) into (* 1/4 (pow PI 2)) * [misc]backup-simplify: Simplify (* (* 1/2 PI) (* 1/4 (pow PI 2))) into (* 1/8 (pow PI 3)) * [misc]backup-simplify: Simplify (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) into (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) * [misc]backup-simplify: Simplify (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) into (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) * [misc]backup-simplify: Simplify (- (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) into (- (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) * [misc]backup-simplify: Simplify (+ (* 1/8 (pow PI 3)) (- (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))) into (- (* 1/8 (pow PI 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) * [misc]backup-simplify: Simplify (* (* 1/2 PI) (* 1/2 PI)) into (* 1/4 (pow PI 2)) * [misc]backup-simplify: Simplify (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) into (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) * [misc]backup-simplify: Simplify (* (* 1/2 PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) into (* 1/2 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) PI)) * [misc]backup-simplify: Simplify (+ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (* 1/2 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) PI))) into (+ (* 1/2 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) PI)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) * [misc]backup-simplify: Simplify (+ (* 1/4 (pow PI 2)) (+ (* 1/2 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) PI)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))) into (+ (* 1/2 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) PI)) (+ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (* 1/4 (pow PI 2)))) * [misc]backup-simplify: Simplify (/ (- (* 1/8 (pow PI 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/2 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) PI)) (+ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (* 1/4 (pow PI 2))))) into (/ (- (* 1/8 (pow PI 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (* 1/2 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) PI)) (* 1/4 (pow PI 2))))) * [misc]backup-simplify: Simplify (/ (- (* 1/8 (pow PI 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (* 1/2 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) PI)) (* 1/4 (pow PI 2))))) into (/ (- (* 1/8 (pow PI 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/2 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) PI)) (+ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (* 1/4 (pow PI 2))))) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (* 0 (* 1/2 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (* 0 (* 1/4 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 0) (* 0 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 0) (* 0 (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (* 0 (* 1/2 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 0) (* 0 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (* 0 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (* 1/2 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) PI)) (+ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (* 1/4 (pow PI 2))))) (+ (* (/ (- (* 1/8 (pow PI 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (* 1/2 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) PI)) (* 1/4 (pow PI 2))))) (/ 0 (+ (* 1/2 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) PI)) (+ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (* 1/4 (pow PI 2)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (* 0 (* 1/2 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (* 0 (* 1/4 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 0) (+ (* 0 0) (* 0 (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (* 0 (* 1/2 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (* 1/2 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) PI)) (+ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (* 1/4 (pow PI 2))))) (+ (* (/ (- (* 1/8 (pow PI 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (* 1/2 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) PI)) (* 1/4 (pow PI 2))))) (/ 0 (+ (* 1/2 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) PI)) (+ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (* 1/4 (pow PI 2)))))) (* 0 (/ 0 (+ (* 1/2 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) PI)) (+ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (* 1/4 (pow PI 2)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/4 (pow PI 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (* 1/2 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) PI)) (+ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (* 1/4 (pow PI 2))))) (+ (* (/ (- (* 1/8 (pow PI 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (* 1/2 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) PI)) (* 1/4 (pow PI 2))))) (/ 0 (+ (* 1/2 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) PI)) (+ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (* 1/4 (pow PI 2)))))) (* 0 (/ 0 (+ (* 1/2 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) PI)) (+ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (* 1/4 (pow PI 2)))))) (* 0 (/ 0 (+ (* 1/2 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) PI)) (+ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (* 1/4 (pow PI 2)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/4 (pow PI 2))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (* 1/2 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) PI)) (+ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (* 1/4 (pow PI 2))))) (+ (* (/ (- (* 1/8 (pow PI 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (* 1/2 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) PI)) (* 1/4 (pow PI 2))))) (/ 0 (+ (* 1/2 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) PI)) (+ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (* 1/4 (pow PI 2)))))) (* 0 (/ 0 (+ (* 1/2 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) PI)) (+ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (* 1/4 (pow PI 2)))))) (* 0 (/ 0 (+ (* 1/2 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) PI)) (+ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (* 1/4 (pow PI 2)))))) (* 0 (/ 0 (+ (* 1/2 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) PI)) (+ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (* 1/4 (pow PI 2)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 PI))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/4 (pow PI 2)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 PI))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (* 1/2 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) PI)) (+ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (* 1/4 (pow PI 2))))) (+ (* (/ (- (* 1/8 (pow PI 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (* 1/2 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) PI)) (* 1/4 (pow PI 2))))) (/ 0 (+ (* 1/2 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) PI)) (+ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (* 1/4 (pow PI 2)))))) (* 0 (/ 0 (+ (* 1/2 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) PI)) (+ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (* 1/4 (pow PI 2)))))) (* 0 (/ 0 (+ (* 1/2 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) PI)) (+ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (* 1/4 (pow PI 2)))))) (* 0 (/ 0 (+ (* 1/2 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) PI)) (+ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (* 1/4 (pow PI 2)))))) (* 0 (/ 0 (+ (* 1/2 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) PI)) (+ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (* 1/4 (pow PI 2)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 PI)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/4 (pow PI 2))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 PI)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (* 1/2 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) PI)) (+ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (* 1/4 (pow PI 2))))) (+ (* (/ (- (* 1/8 (pow PI 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (* 1/2 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) PI)) (* 1/4 (pow PI 2))))) (/ 0 (+ (* 1/2 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) PI)) (+ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (* 1/4 (pow PI 2)))))) (* 0 (/ 0 (+ (* 1/2 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) PI)) (+ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (* 1/4 (pow PI 2)))))) (* 0 (/ 0 (+ (* 1/2 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) PI)) (+ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (* 1/4 (pow PI 2)))))) (* 0 (/ 0 (+ (* 1/2 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) PI)) (+ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (* 1/4 (pow PI 2)))))) (* 0 (/ 0 (+ (* 1/2 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) PI)) (+ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (* 1/4 (pow PI 2)))))) (* 0 (/ 0 (+ (* 1/2 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) PI)) (+ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (* 1/4 (pow PI 2)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- (* 1/8 (pow PI 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/2 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) PI)) (+ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (* 1/4 (pow PI 2))))) into (/ (- (* 1/8 (pow PI 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (* 1/2 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) PI)) (* 1/4 (pow PI 2))))) * [misc]approximate: Taking taylor expansion of (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))))))) in v * [misc]taylor: Taking taylor expansion of (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) 3)) in v * [misc]taylor: Taking taylor expansion of (pow (/ PI 2) 3) in v * [misc]taylor: Taking taylor expansion of (/ PI 2) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (pow (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) 3) in v * [misc]taylor: Taking taylor expansion of (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) in v * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) into (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [misc]taylor: Taking taylor expansion of (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1)))))) in v * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ PI 2)) in v * [misc]taylor: Taking taylor expansion of (/ PI 2) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ PI 2) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ (* (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))))) in v * [misc]taylor: Taking taylor expansion of (* (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1)))) in v * [misc]taylor: Taking taylor expansion of (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) in v * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) into (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [misc]taylor: Taking taylor expansion of (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) in v * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) into (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1)))) in v * [misc]taylor: Taking taylor expansion of (/ PI 2) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) in v * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) into (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [misc]backup-simplify: Simplify (* (* 1/2 PI) (* 1/2 PI)) into (* 1/4 (pow PI 2)) * [misc]backup-simplify: Simplify (* (* 1/2 PI) (* 1/4 (pow PI 2))) into (* 1/8 (pow PI 3)) * [misc]backup-simplify: Simplify (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))) into (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) * [misc]backup-simplify: Simplify (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2)) into (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 3) * [misc]backup-simplify: Simplify (- (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 3)) into (- (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 3)) * [misc]backup-simplify: Simplify (+ (* 1/8 (pow PI 3)) (- (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 3))) into (- (* 1/8 (pow PI 3)) (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 3)) * [misc]backup-simplify: Simplify (* (* 1/2 PI) (* 1/2 PI)) into (* 1/4 (pow PI 2)) * [misc]backup-simplify: Simplify (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))) into (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) * [misc]backup-simplify: Simplify (* (* 1/2 PI) (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))) into (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) * [misc]backup-simplify: Simplify (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))))) into (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2)) * [misc]backup-simplify: Simplify (+ (* 1/4 (pow PI 2)) (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2))) into (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2)))) * [misc]backup-simplify: Simplify (/ (- (* 1/8 (pow PI 3)) (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 3)) (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2))))) into (/ (- (* 1/8 (pow PI 3)) (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 3)) (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2))))) * [misc]taylor: Taking taylor expansion of (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))))))) in v * [misc]taylor: Taking taylor expansion of (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) 3)) in v * [misc]taylor: Taking taylor expansion of (pow (/ PI 2) 3) in v * [misc]taylor: Taking taylor expansion of (/ PI 2) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (pow (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) 3) in v * [misc]taylor: Taking taylor expansion of (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) in v * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) into (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [misc]taylor: Taking taylor expansion of (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1)))))) in v * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ PI 2)) in v * [misc]taylor: Taking taylor expansion of (/ PI 2) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ PI 2) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ (* (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))))) in v * [misc]taylor: Taking taylor expansion of (* (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1)))) in v * [misc]taylor: Taking taylor expansion of (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) in v * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) into (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [misc]taylor: Taking taylor expansion of (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) in v * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) into (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1)))) in v * [misc]taylor: Taking taylor expansion of (/ PI 2) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) in v * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (* (/ 1 v) (/ 1 v)))) (- (* (/ 1 v) (/ 1 v)) 1))) into (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [misc]backup-simplify: Simplify (* (* 1/2 PI) (* 1/2 PI)) into (* 1/4 (pow PI 2)) * [misc]backup-simplify: Simplify (* (* 1/2 PI) (* 1/4 (pow PI 2))) into (* 1/8 (pow PI 3)) * [misc]backup-simplify: Simplify (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))) into (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) * [misc]backup-simplify: Simplify (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2)) into (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 3) * [misc]backup-simplify: Simplify (- (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 3)) into (- (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 3)) * [misc]backup-simplify: Simplify (+ (* 1/8 (pow PI 3)) (- (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 3))) into (- (* 1/8 (pow PI 3)) (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 3)) * [misc]backup-simplify: Simplify (* (* 1/2 PI) (* 1/2 PI)) into (* 1/4 (pow PI 2)) * [misc]backup-simplify: Simplify (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))) into (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) * [misc]backup-simplify: Simplify (* (* 1/2 PI) (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))) into (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) * [misc]backup-simplify: Simplify (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))))) into (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2)) * [misc]backup-simplify: Simplify (+ (* 1/4 (pow PI 2)) (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2))) into (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2)))) * [misc]backup-simplify: Simplify (/ (- (* 1/8 (pow PI 3)) (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 3)) (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2))))) into (/ (- (* 1/8 (pow PI 3)) (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 3)) (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2))))) * [misc]backup-simplify: Simplify (/ (- (* 1/8 (pow PI 3)) (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 3)) (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2))))) into (/ (- (* 1/8 (pow PI 3)) (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 3)) (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2))))) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (* 0 (* 1/2 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (* 0 (* 1/4 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (* 0 (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (* 0 (* 1/2 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2))))) (+ (* (/ (- (* 1/8 (pow PI 3)) (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 3)) (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2))))) (/ 0 (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (* 0 (* 1/2 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (* 0 (* 1/4 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (+ (* 0 0) (* 0 (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (* 0 (* 1/2 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2))))) (+ (* (/ (- (* 1/8 (pow PI 3)) (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 3)) (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2))))) (/ 0 (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2)))))) (* 0 (/ 0 (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/4 (pow PI 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2))))) (+ (* (/ (- (* 1/8 (pow PI 3)) (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 3)) (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2))))) (/ 0 (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2)))))) (* 0 (/ 0 (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2)))))) (* 0 (/ 0 (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/4 (pow PI 2))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2))))) (+ (* (/ (- (* 1/8 (pow PI 3)) (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 3)) (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2))))) (/ 0 (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2)))))) (* 0 (/ 0 (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2)))))) (* 0 (/ 0 (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2)))))) (* 0 (/ 0 (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 PI))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/4 (pow PI 2)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 PI))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2))))) (+ (* (/ (- (* 1/8 (pow PI 3)) (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 3)) (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2))))) (/ 0 (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2)))))) (* 0 (/ 0 (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2)))))) (* 0 (/ 0 (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2)))))) (* 0 (/ 0 (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2)))))) (* 0 (/ 0 (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 PI)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/4 (pow PI 2))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 PI)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2))))) (+ (* (/ (- (* 1/8 (pow PI 3)) (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 3)) (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2))))) (/ 0 (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2)))))) (* 0 (/ 0 (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2)))))) (* 0 (/ 0 (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2)))))) (* 0 (/ 0 (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2)))))) (* 0 (/ 0 (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2)))))) (* 0 (/ 0 (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- (* 1/8 (pow PI 3)) (pow (asin (/ (- 1 (* 5 (/ 1 (pow (/ 1 v) 2)))) (- (/ 1 (pow (/ 1 v) 2)) 1))) 3)) (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow (/ 1 v) 2)))) (- (/ 1 (pow (/ 1 v) 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow (/ 1 v) 2)))) (- (/ 1 (pow (/ 1 v) 2)) 1))) 2) (* 1/4 (pow PI 2))))) into (/ (- (* 1/8 (pow PI 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow PI 2)) (+ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (* 1/2 (* PI (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))) * [misc]approximate: Taking taylor expansion of (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))))))) in v * [misc]taylor: Taking taylor expansion of (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) 3)) in v * [misc]taylor: Taking taylor expansion of (pow (/ PI 2) 3) in v * [misc]taylor: Taking taylor expansion of (/ PI 2) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (pow (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) 3) in v * [misc]taylor: Taking taylor expansion of (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) in v * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) into (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [misc]taylor: Taking taylor expansion of (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1)))))) in v * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ PI 2)) in v * [misc]taylor: Taking taylor expansion of (/ PI 2) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ PI 2) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ (* (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))))) in v * [misc]taylor: Taking taylor expansion of (* (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1)))) in v * [misc]taylor: Taking taylor expansion of (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) in v * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) into (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [misc]taylor: Taking taylor expansion of (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) in v * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) into (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1)))) in v * [misc]taylor: Taking taylor expansion of (/ PI 2) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) in v * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) into (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [misc]backup-simplify: Simplify (* (* 1/2 PI) (* 1/2 PI)) into (* 1/4 (pow PI 2)) * [misc]backup-simplify: Simplify (* (* 1/2 PI) (* 1/4 (pow PI 2))) into (* 1/8 (pow PI 3)) * [misc]backup-simplify: Simplify (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))) into (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) * [misc]backup-simplify: Simplify (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2)) into (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 3) * [misc]backup-simplify: Simplify (- (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 3)) into (- (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 3)) * [misc]backup-simplify: Simplify (+ (* 1/8 (pow PI 3)) (- (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 3))) into (- (* 1/8 (pow PI 3)) (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 3)) * [misc]backup-simplify: Simplify (* (* 1/2 PI) (* 1/2 PI)) into (* 1/4 (pow PI 2)) * [misc]backup-simplify: Simplify (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))) into (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) * [misc]backup-simplify: Simplify (* (* 1/2 PI) (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))) into (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) * [misc]backup-simplify: Simplify (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))))) into (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2)) * [misc]backup-simplify: Simplify (+ (* 1/4 (pow PI 2)) (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2))) into (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2)))) * [misc]backup-simplify: Simplify (/ (- (* 1/8 (pow PI 3)) (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 3)) (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2))))) into (/ (- (* 1/8 (pow PI 3)) (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 3)) (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2))))) * [misc]taylor: Taking taylor expansion of (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))))))) in v * [misc]taylor: Taking taylor expansion of (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) 3)) in v * [misc]taylor: Taking taylor expansion of (pow (/ PI 2) 3) in v * [misc]taylor: Taking taylor expansion of (/ PI 2) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (pow (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) 3) in v * [misc]taylor: Taking taylor expansion of (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) in v * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) into (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [misc]taylor: Taking taylor expansion of (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1)))))) in v * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ PI 2)) in v * [misc]taylor: Taking taylor expansion of (/ PI 2) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ PI 2) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ (* (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))))) in v * [misc]taylor: Taking taylor expansion of (* (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1)))) in v * [misc]taylor: Taking taylor expansion of (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) in v * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) into (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [misc]taylor: Taking taylor expansion of (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) in v * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) into (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1)))) in v * [misc]taylor: Taking taylor expansion of (/ PI 2) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) in v * [misc]backup-simplify: Simplify (asin (/ (- 1 (* 5 (* (/ 1 (- v)) (/ 1 (- v))))) (- (* (/ 1 (- v)) (/ 1 (- v))) 1))) into (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [misc]backup-simplify: Simplify (* (* 1/2 PI) (* 1/2 PI)) into (* 1/4 (pow PI 2)) * [misc]backup-simplify: Simplify (* (* 1/2 PI) (* 1/4 (pow PI 2))) into (* 1/8 (pow PI 3)) * [misc]backup-simplify: Simplify (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))) into (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) * [misc]backup-simplify: Simplify (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2)) into (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 3) * [misc]backup-simplify: Simplify (- (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 3)) into (- (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 3)) * [misc]backup-simplify: Simplify (+ (* 1/8 (pow PI 3)) (- (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 3))) into (- (* 1/8 (pow PI 3)) (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 3)) * [misc]backup-simplify: Simplify (* (* 1/2 PI) (* 1/2 PI)) into (* 1/4 (pow PI 2)) * [misc]backup-simplify: Simplify (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))) into (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) * [misc]backup-simplify: Simplify (* (* 1/2 PI) (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))) into (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) * [misc]backup-simplify: Simplify (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))))) into (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2)) * [misc]backup-simplify: Simplify (+ (* 1/4 (pow PI 2)) (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2))) into (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2)))) * [misc]backup-simplify: Simplify (/ (- (* 1/8 (pow PI 3)) (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 3)) (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2))))) into (/ (- (* 1/8 (pow PI 3)) (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 3)) (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2))))) * [misc]backup-simplify: Simplify (/ (- (* 1/8 (pow PI 3)) (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 3)) (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2))))) into (/ (- (* 1/8 (pow PI 3)) (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 3)) (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2))))) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (* 0 (* 1/2 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (* 0 (* 1/4 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (* 0 (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (* 0 (* 1/2 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2))))) (+ (* (/ (- (* 1/8 (pow PI 3)) (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 3)) (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2))))) (/ 0 (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (* 0 (* 1/2 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (* 0 (* 1/4 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (+ (* 0 0) (* 0 (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (* 0 (* 1/2 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2))))) (+ (* (/ (- (* 1/8 (pow PI 3)) (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 3)) (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2))))) (/ 0 (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2)))))) (* 0 (/ 0 (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/4 (pow PI 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2))))) (+ (* (/ (- (* 1/8 (pow PI 3)) (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 3)) (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2))))) (/ 0 (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2)))))) (* 0 (/ 0 (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2)))))) (* 0 (/ 0 (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/4 (pow PI 2))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2))))) (+ (* (/ (- (* 1/8 (pow PI 3)) (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 3)) (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2))))) (/ 0 (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2)))))) (* 0 (/ 0 (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2)))))) (* 0 (/ 0 (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2)))))) (* 0 (/ 0 (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 PI))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/4 (pow PI 2)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 PI))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2))))) (+ (* (/ (- (* 1/8 (pow PI 3)) (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 3)) (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2))))) (/ 0 (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2)))))) (* 0 (/ 0 (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2)))))) (* 0 (/ 0 (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2)))))) (* 0 (/ 0 (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2)))))) (* 0 (/ 0 (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 PI)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/4 (pow PI 2))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 PI)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2))))) (+ (* (/ (- (* 1/8 (pow PI 3)) (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 3)) (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2))))) (/ 0 (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2)))))) (* 0 (/ 0 (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2)))))) (* 0 (/ 0 (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2)))))) (* 0 (/ 0 (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2)))))) (* 0 (/ 0 (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2)))))) (* 0 (/ 0 (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) 2) (* 1/4 (pow PI 2)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- (* 1/8 (pow PI 3)) (pow (asin (/ (- 1 (* 5 (/ 1 (pow (/ 1 (- v)) 2)))) (- (/ 1 (pow (/ 1 (- v)) 2)) 1))) 3)) (+ (* 1/2 (* PI (asin (/ (- 1 (* 5 (/ 1 (pow (/ 1 (- v)) 2)))) (- (/ 1 (pow (/ 1 (- v)) 2)) 1))))) (+ (pow (asin (/ (- 1 (* 5 (/ 1 (pow (/ 1 (- v)) 2)))) (- (/ 1 (pow (/ 1 (- v)) 2)) 1))) 2) (* 1/4 (pow PI 2))))) into (/ (- (* 1/8 (pow PI 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow PI 2)) (+ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (* 1/2 (* PI (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))) (exp (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (209 enodes) * * [misc]simplify: iters left: 2 (471 enodes) * [exit]simplify: Simplified to (pow (exp (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))) (+ (/ PI 2) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))))) * [misc]simplify: Simplified (2 2 2 1) to (λ (v) (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (+ (* (/ PI 2) (/ PI 2)) (log (pow (exp (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))) (+ (/ PI 2) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))))))))) * * * * [misc]progress: [ 2 / 161 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 161 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 161 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 161 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 161 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 161 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 161 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 161 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 161 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * * [misc]simplify: iters left: 2 (429 enodes) * [exit]simplify: Simplified to (asin (/ (- 1 (* (* v v) 5)) (+ (* v v) -1))) * [misc]simplify: Simplified (2 2 2 1) to (λ (v) (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (+ (* (/ PI 2) (/ PI 2)) (* (asin (/ (- 1 (* (* v v) 5)) (+ (* v v) -1))) (+ (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ PI 2)))))) * [enter]simplify: Simplifying (+ (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ PI 2)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (439 enodes) * [exit]simplify: Simplified to (+ (asin (/ (- 1 (* (* v v) 5)) (- (* v v) 1))) (/ PI 2)) * [misc]simplify: Simplified (2 2 2 2) to (λ (v) (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (+ (* (/ PI 2) (/ PI 2)) (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (+ (asin (/ (- 1 (* (* v v) 5)) (- (* v v) 1))) (/ PI 2)))))) * * * * [misc]progress: [ 12 / 161 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ PI 2)) 3) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (* (log (/ PI 2)) 3) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (- (exp (* (log (/ PI 2)) 3)) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * * * [misc]progress: [ 14 / 161 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 2) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI 2) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (- (pow (/ PI 2) (* 1 3)) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * * * [misc]progress: [ 16 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) 3) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (* PI (/ PI 4)) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (- (* (* PI (/ PI 4)) (pow (cbrt (/ PI 2)) 3)) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * * * [misc]progress: [ 17 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (/ PI 2)) 3) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (* (sqrt (/ PI 2)) (/ PI 2)) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (- (* (* (sqrt (/ PI 2)) (/ PI 2)) (pow (sqrt (/ PI 2)) 3)) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * * * [misc]progress: [ 18 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (- (* 1 (pow (/ PI 2) 3)) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * * * [misc]progress: [ 19 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (pow PI 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (pow PI 3) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (- (* (pow PI 3) (pow (/ 1 2) 3)) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * * * [misc]progress: [ 20 / 161 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 161 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 161 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 161 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 161 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 161 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) 3) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (* PI (/ PI 4)) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (- (* (* PI (/ PI 4)) (pow (cbrt (/ PI 2)) 3)) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * * * [misc]progress: [ 27 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (/ PI 2)) 3) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (* (sqrt (/ PI 2)) (/ PI 2)) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (- (* (* (sqrt (/ PI 2)) (/ PI 2)) (pow (sqrt (/ PI 2)) 3)) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * * * [misc]progress: [ 28 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (- (* 1 (pow (/ PI 2) 3)) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * * * [misc]progress: [ 29 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (pow PI 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (pow PI 3) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (- (* (pow PI 3) (pow (/ 1 2) 3)) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * * * [misc]progress: [ 30 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (pow PI 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (pow PI 3) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (- (/ (pow PI 3) (pow 2 3)) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * * * [misc]progress: [ 31 / 161 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ PI 2) (/ PI 2)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (/ (* PI PI) 4) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (- (* (/ (* PI PI) 4) (/ PI 2)) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * * * [misc]progress: [ 33 / 161 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 161 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * * [misc]simplify: iters left: 2 (438 enodes) * [exit]simplify: Simplified to (* (log (asin (- (/ 1 (+ (* v v) -1)) (/ (* (* v v) 5) (+ (* v v) -1))))) 3) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (/ (- (pow (/ PI 2) 3) (exp (* (log (asin (- (/ 1 (+ (* v v) -1)) (/ (* (* v v) 5) (+ (* v v) -1))))) 3))) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * * * [misc]progress: [ 36 / 161 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * * [misc]simplify: iters left: 2 (429 enodes) * [exit]simplify: Simplified to (asin (/ (- 1 (* (* v v) 5)) (+ (* v v) -1))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* (* v v) 5)) (+ (* v v) -1))) (* 1 3))) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * * * [misc]progress: [ 38 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (cbrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))) 3) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * * [misc]simplify: iters left: 2 (455 enodes) * [exit]simplify: Simplified to (* (asin (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1))) (asin (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (/ (- (pow (/ PI 2) 3) (* (* (asin (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1))) (asin (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1)))) (pow (cbrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3))) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * * * [misc]progress: [ 39 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * * [misc]simplify: iters left: 2 (441 enodes) * [exit]simplify: Simplified to (* (sqrt (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v))))) (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (/ (- (pow (/ PI 2) 3) (* (* (sqrt (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v))))) (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v))))) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3))) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * * * [misc]progress: [ 40 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (/ (- (pow (/ PI 2) 3) (* 1 (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * * * [misc]progress: [ 41 / 161 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 161 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 161 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 161 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 161 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 161 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (cbrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))) 3) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * * [misc]simplify: iters left: 2 (455 enodes) * [exit]simplify: Simplified to (* (asin (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1))) (asin (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (/ (- (pow (/ PI 2) 3) (* (* (asin (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1))) (asin (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1)))) (pow (cbrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3))) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * * * [misc]progress: [ 48 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * * [misc]simplify: iters left: 2 (441 enodes) * [exit]simplify: Simplified to (* (sqrt (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v))))) (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (/ (- (pow (/ PI 2) 3) (* (* (sqrt (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v))))) (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v))))) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3))) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * * * [misc]progress: [ 49 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (/ (- (pow (/ PI 2) 3) (* 1 (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * * * [misc]progress: [ 50 / 161 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (172 enodes) * * [misc]simplify: iters left: 2 (432 enodes) * [exit]simplify: Simplified to (* (asin (/ (- 1 (* (* v v) 5)) (- (* v v) 1))) (asin (/ (- 1 (* (* v v) 5)) (- (* v v) 1)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (/ (- (pow (/ PI 2) 3) (* (* (asin (/ (- 1 (* (* v v) 5)) (- (* v v) 1))) (asin (/ (- 1 (* (* v v) 5)) (- (* v v) 1)))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * * * [misc]progress: [ 52 / 161 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 161 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 161 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) (log (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (281 enodes) * [exit]simplify: Simplified to (- (log (- (* (/ PI 8) (* PI PI)) (pow (asin (/ (+ 1 (* (* -5 v) v)) (+ (* v v) -1))) 3))) (log (+ (* (asin (/ (+ 1 (* (* -5 v) v)) (+ (* v v) -1))) (asin (/ (+ 1 (* (* -5 v) v)) (+ (* v v) -1)))) (* (+ (asin (/ (+ 1 (* (* -5 v) v)) (+ (* v v) -1))) (/ PI 2)) (/ PI 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (exp (- (log (- (* (/ PI 8) (* PI PI)) (pow (asin (/ (+ 1 (* (* -5 v) v)) (+ (* v v) -1))) 3))) (log (+ (* (asin (/ (+ 1 (* (* -5 v) v)) (+ (* v v) -1))) (asin (/ (+ 1 (* (* -5 v) v)) (+ (* v v) -1)))) (* (+ (asin (/ (+ 1 (* (* -5 v) v)) (+ (* v v) -1))) (/ PI 2)) (/ PI 2))))))) * * * * [misc]progress: [ 56 / 161 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 161 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) (* (* (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (320 enodes) * [exit]simplify: Simplified to (pow (/ (- (/ (* PI PI) (/ 8 PI)) (pow (asin (- (/ 1 (- (* v v) 1)) (/ (* 5 (* v v)) (- (* v v) 1)))) 3)) (+ (* (asin (- (/ 1 (- (* v v) 1)) (/ (* 5 (* v v)) (- (* v v) 1)))) (asin (- (/ 1 (- (* v v) 1)) (/ (* 5 (* v v)) (- (* v v) 1))))) (* (/ PI 2) (+ (asin (- (/ 1 (- (* v v) 1)) (/ (* 5 (* v v)) (- (* v v) 1)))) (/ PI 2))))) 3) * [misc]simplify: Simplified (2 1) to (λ (v) (cbrt (pow (/ (- (/ (* PI PI) (/ 8 PI)) (pow (asin (- (/ 1 (- (* v v) 1)) (/ (* 5 (* v v)) (- (* v v) 1)))) 3)) (+ (* (asin (- (/ 1 (- (* v v) 1)) (/ (* 5 (* v v)) (- (* v v) 1)))) (asin (- (/ 1 (- (* v v) 1)) (/ (* 5 (* v v)) (- (* v v) 1))))) (* (/ PI 2) (+ (asin (- (/ 1 (- (* v v) 1)) (/ (* 5 (* v v)) (- (* v v) 1)))) (/ PI 2))))) 3))) * * * * [misc]progress: [ 59 / 161 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 161 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 161 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 161 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (/ PI 2) 3) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (277 enodes) * [exit]simplify: Simplified to (/ (/ (* PI PI) (/ 8 PI)) (+ (* (asin (- (/ 1 (- (* v v) 1)) (/ (* (* v v) 5) (- (* v v) 1)))) (asin (- (/ 1 (- (* v v) 1)) (/ (* (* v v) 5) (- (* v v) 1))))) (* (+ (asin (- (/ 1 (- (* v v) 1)) (/ (* (* v v) 5) (- (* v v) 1)))) (/ PI 2)) (/ PI 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (- (/ (/ (* PI PI) (/ 8 PI)) (+ (* (asin (- (/ 1 (- (* v v) 1)) (/ (* (* v v) 5) (- (* v v) 1)))) (asin (- (/ 1 (- (* v v) 1)) (/ (* (* v v) 5) (- (* v v) 1))))) (* (+ (asin (- (/ 1 (- (* v v) 1)) (/ (* (* v v) 5) (- (* v v) 1)))) (/ PI 2)) (/ PI 2)))) (/ (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))))) * * * * [misc]progress: [ 64 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) (cbrt (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)))) (* (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))) (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (158 enodes) * * [misc]simplify: iters left: 3 (296 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ (* PI PI) (/ 8 PI)) (pow (asin (/ (+ 1 (* -5 (* v v))) (+ -1 (* v v)))) 3))) (cbrt (+ (* (/ PI 2) (+ (asin (/ (+ 1 (* -5 (* v v))) (+ -1 (* v v)))) (/ PI 2))) (* (asin (/ (+ 1 (* -5 (* v v))) (+ -1 (* v v)))) (asin (/ (+ 1 (* -5 (* v v))) (+ -1 (* v v)))))))) (/ (cbrt (- (/ (* PI PI) (/ 8 PI)) (pow (asin (/ (+ 1 (* -5 (* v v))) (+ -1 (* v v)))) 3))) (cbrt (+ (* (/ PI 2) (+ (asin (/ (+ 1 (* -5 (* v v))) (+ -1 (* v v)))) (/ PI 2))) (* (asin (/ (+ 1 (* -5 (* v v))) (+ -1 (* v v)))) (asin (/ (+ 1 (* -5 (* v v))) (+ -1 (* v v))))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (/ (cbrt (- (/ (* PI PI) (/ 8 PI)) (pow (asin (/ (+ 1 (* -5 (* v v))) (+ -1 (* v v)))) 3))) (cbrt (+ (* (/ PI 2) (+ (asin (/ (+ 1 (* -5 (* v v))) (+ -1 (* v v)))) (/ PI 2))) (* (asin (/ (+ 1 (* -5 (* v v))) (+ -1 (* v v)))) (asin (/ (+ 1 (* -5 (* v v))) (+ -1 (* v v)))))))) (/ (cbrt (- (/ (* PI PI) (/ 8 PI)) (pow (asin (/ (+ 1 (* -5 (* v v))) (+ -1 (* v v)))) 3))) (cbrt (+ (* (/ PI 2) (+ (asin (/ (+ 1 (* -5 (* v v))) (+ -1 (* v v)))) (/ PI 2))) (* (asin (/ (+ 1 (* -5 (* v v))) (+ -1 (* v v)))) (asin (/ (+ 1 (* -5 (* v v))) (+ -1 (* v v))))))))) (/ (cbrt (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))))) * [enter]simplify: Simplifying (/ (cbrt (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * * [misc]simplify: iters left: 3 (280 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* (/ PI 8) (* PI PI)) (pow (asin (/ (+ (* v (* -5 v)) 1) (+ -1 (* v v)))) 3))) (cbrt (+ (* (asin (/ (+ (* v (* -5 v)) 1) (+ -1 (* v v)))) (asin (/ (+ (* v (* -5 v)) 1) (+ -1 (* v v))))) (* (+ (asin (/ (+ (* v (* -5 v)) 1) (+ -1 (* v v)))) (/ PI 2)) (/ PI 2))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ (cbrt (- (/ (* PI PI) (/ 8 PI)) (pow (asin (/ (+ 1 (* -5 (* v v))) (+ -1 (* v v)))) 3))) (cbrt (+ (* (/ PI 2) (+ (asin (/ (+ 1 (* -5 (* v v))) (+ -1 (* v v)))) (/ PI 2))) (* (asin (/ (+ 1 (* -5 (* v v))) (+ -1 (* v v)))) (asin (/ (+ 1 (* -5 (* v v))) (+ -1 (* v v)))))))) (/ (cbrt (- (/ (* PI PI) (/ 8 PI)) (pow (asin (/ (+ 1 (* -5 (* v v))) (+ -1 (* v v)))) 3))) (cbrt (+ (* (/ PI 2) (+ (asin (/ (+ 1 (* -5 (* v v))) (+ -1 (* v v)))) (/ PI 2))) (* (asin (/ (+ 1 (* -5 (* v v))) (+ -1 (* v v)))) (asin (/ (+ 1 (* -5 (* v v))) (+ -1 (* v v))))))))) (/ (cbrt (- (* (/ PI 8) (* PI PI)) (pow (asin (/ (+ (* v (* -5 v)) 1) (+ -1 (* v v)))) 3))) (cbrt (+ (* (asin (/ (+ (* v (* -5 v)) 1) (+ -1 (* v v)))) (asin (/ (+ (* v (* -5 v)) 1) (+ -1 (* v v))))) (* (+ (asin (/ (+ (* v (* -5 v)) 1) (+ -1 (* v v)))) (/ PI 2)) (/ PI 2))))))) * * * * [misc]progress: [ 65 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) (cbrt (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)))) (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (285 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ (* PI PI) (/ 8 PI)) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3))) (cbrt (- (/ (* PI PI) (/ 8 PI)) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)))) (sqrt (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ PI 2) (+ (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/ PI 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (cbrt (- (/ (* PI PI) (/ 8 PI)) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3))) (cbrt (- (/ (* PI PI) (/ 8 PI)) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)))) (sqrt (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ PI 2) (+ (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/ PI 2)))))) (/ (cbrt (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))))) * [enter]simplify: Simplifying (/ (cbrt (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * * [misc]simplify: iters left: 3 (280 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* (/ PI 8) (* PI PI)) (pow (asin (/ (+ (* v (* -5 v)) 1) (+ -1 (* v v)))) 3))) (sqrt (+ (* (asin (/ (+ (* v (* -5 v)) 1) (+ -1 (* v v)))) (asin (/ (+ (* v (* -5 v)) 1) (+ -1 (* v v))))) (* (+ (asin (/ (+ (* v (* -5 v)) 1) (+ -1 (* v v)))) (/ PI 2)) (/ PI 2))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) (cbrt (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)))) (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) (/ (cbrt (- (* (/ PI 8) (* PI PI)) (pow (asin (/ (+ (* v (* -5 v)) 1) (+ -1 (* v v)))) 3))) (sqrt (+ (* (asin (/ (+ (* v (* -5 v)) 1) (+ -1 (* v v)))) (asin (/ (+ (* v (* -5 v)) 1) (+ -1 (* v v))))) (* (+ (asin (/ (+ (* v (* -5 v)) 1) (+ -1 (* v v)))) (/ PI 2)) (/ PI 2))))))) * * * * [misc]progress: [ 66 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) (cbrt (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)))) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (256 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ (* PI PI) (/ 8 PI)) (pow (asin (/ (+ 1 (* (* -5 v) v)) (+ (* v v) -1))) 3))) (cbrt (- (/ (* PI PI) (/ 8 PI)) (pow (asin (/ (+ 1 (* (* -5 v) v)) (+ (* v v) -1))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (cbrt (- (/ (* PI PI) (/ 8 PI)) (pow (asin (/ (+ 1 (* (* -5 v) v)) (+ (* v v) -1))) 3))) (cbrt (- (/ (* PI PI) (/ 8 PI)) (pow (asin (/ (+ 1 (* (* -5 v) v)) (+ (* v v) -1))) 3)))) (/ (cbrt (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))))) * [enter]simplify: Simplifying (/ (cbrt (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * * [misc]simplify: iters left: 3 (279 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ (* PI PI) (/ 8 PI)) (pow (asin (/ (+ (* v (* -5 v)) 1) (+ (* v v) -1))) 3))) (+ (* (+ (asin (/ (+ (* v (* -5 v)) 1) (+ (* v v) -1))) (/ PI 2)) (/ PI 2)) (* (asin (/ (+ (* v (* -5 v)) 1) (+ (* v v) -1))) (asin (/ (+ (* v (* -5 v)) 1) (+ (* v v) -1)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) (cbrt (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)))) 1) (/ (cbrt (- (/ (* PI PI) (/ 8 PI)) (pow (asin (/ (+ (* v (* -5 v)) 1) (+ (* v v) -1))) 3))) (+ (* (+ (asin (/ (+ (* v (* -5 v)) 1) (+ (* v v) -1))) (/ PI 2)) (/ PI 2)) (* (asin (/ (+ (* v (* -5 v)) 1) (+ (* v v) -1))) (asin (/ (+ (* v (* -5 v)) 1) (+ (* v v) -1)))))))) * * * * [misc]progress: [ 67 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) (* (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))) (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (282 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ (* PI PI) (/ 8 PI)) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3))) (* (cbrt (+ (* (/ PI 2) (+ (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))))) (cbrt (+ (* (/ PI 2) (+ (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (- (/ (* PI PI) (/ 8 PI)) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3))) (* (cbrt (+ (* (/ PI 2) (+ (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))))) (cbrt (+ (* (/ PI 2) (+ (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))))))) (/ (sqrt (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))))) * [enter]simplify: Simplifying (/ (sqrt (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * * [misc]simplify: iters left: 3 (280 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (/ PI 8) (* PI PI)) (pow (asin (/ (+ (* v (* -5 v)) 1) (+ -1 (* v v)))) 3))) (cbrt (+ (* (asin (/ (+ (* v (* -5 v)) 1) (+ -1 (* v v)))) (asin (/ (+ (* v (* -5 v)) 1) (+ -1 (* v v))))) (* (+ (asin (/ (+ (* v (* -5 v)) 1) (+ -1 (* v v)))) (/ PI 2)) (/ PI 2))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (- (/ (* PI PI) (/ 8 PI)) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3))) (* (cbrt (+ (* (/ PI 2) (+ (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))))) (cbrt (+ (* (/ PI 2) (+ (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))))))) (/ (sqrt (- (* (/ PI 8) (* PI PI)) (pow (asin (/ (+ (* v (* -5 v)) 1) (+ -1 (* v v)))) 3))) (cbrt (+ (* (asin (/ (+ (* v (* -5 v)) 1) (+ -1 (* v v)))) (asin (/ (+ (* v (* -5 v)) 1) (+ -1 (* v v))))) (* (+ (asin (/ (+ (* v (* -5 v)) 1) (+ -1 (* v v)))) (/ PI 2)) (/ PI 2))))))) * * * * [misc]progress: [ 68 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * * [misc]simplify: iters left: 3 (280 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (/ PI 8) (* PI PI)) (pow (asin (/ (+ (* v (* -5 v)) 1) (+ -1 (* v v)))) 3))) (sqrt (+ (* (asin (/ (+ (* v (* -5 v)) 1) (+ -1 (* v v)))) (asin (/ (+ (* v (* -5 v)) 1) (+ -1 (* v v))))) (* (+ (asin (/ (+ (* v (* -5 v)) 1) (+ -1 (* v v)))) (/ PI 2)) (/ PI 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (- (* (/ PI 8) (* PI PI)) (pow (asin (/ (+ (* v (* -5 v)) 1) (+ -1 (* v v)))) 3))) (sqrt (+ (* (asin (/ (+ (* v (* -5 v)) 1) (+ -1 (* v v)))) (asin (/ (+ (* v (* -5 v)) 1) (+ -1 (* v v))))) (* (+ (asin (/ (+ (* v (* -5 v)) 1) (+ -1 (* v v)))) (/ PI 2)) (/ PI 2))))) (/ (sqrt (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))))) * [enter]simplify: Simplifying (/ (sqrt (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * * [misc]simplify: iters left: 3 (280 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (/ PI 8) (* PI PI)) (pow (asin (/ (+ (* v (* -5 v)) 1) (+ -1 (* v v)))) 3))) (sqrt (+ (* (asin (/ (+ (* v (* -5 v)) 1) (+ -1 (* v v)))) (asin (/ (+ (* v (* -5 v)) 1) (+ -1 (* v v))))) (* (+ (asin (/ (+ (* v (* -5 v)) 1) (+ -1 (* v v)))) (/ PI 2)) (/ PI 2))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (- (* (/ PI 8) (* PI PI)) (pow (asin (/ (+ (* v (* -5 v)) 1) (+ -1 (* v v)))) 3))) (sqrt (+ (* (asin (/ (+ (* v (* -5 v)) 1) (+ -1 (* v v)))) (asin (/ (+ (* v (* -5 v)) 1) (+ -1 (* v v))))) (* (+ (asin (/ (+ (* v (* -5 v)) 1) (+ -1 (* v v)))) (/ PI 2)) (/ PI 2))))) (/ (sqrt (- (* (/ PI 8) (* PI PI)) (pow (asin (/ (+ (* v (* -5 v)) 1) (+ -1 (* v v)))) 3))) (sqrt (+ (* (asin (/ (+ (* v (* -5 v)) 1) (+ -1 (* v v)))) (asin (/ (+ (* v (* -5 v)) 1) (+ -1 (* v v))))) (* (+ (asin (/ (+ (* v (* -5 v)) 1) (+ -1 (* v v)))) (/ PI 2)) (/ PI 2))))))) * * * * [misc]progress: [ 69 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (238 enodes) * [exit]simplify: Simplified to (sqrt (- (* (/ PI 8) (* PI PI)) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ -1 (* v v)))) 3))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (- (* (/ PI 8) (* PI PI)) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ -1 (* v v)))) 3))) (/ (sqrt (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))))) * [enter]simplify: Simplifying (/ (sqrt (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * * [misc]simplify: iters left: 3 (279 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ (* PI PI) (/ 8 PI)) (pow (asin (/ (+ (* v (* -5 v)) 1) (+ (* v v) -1))) 3))) (+ (* (+ (asin (/ (+ (* v (* -5 v)) 1) (+ (* v v) -1))) (/ PI 2)) (/ PI 2)) (* (asin (/ (+ (* v (* -5 v)) 1) (+ (* v v) -1))) (asin (/ (+ (* v (* -5 v)) 1) (+ (* v v) -1)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) 1) (/ (sqrt (- (/ (* PI PI) (/ 8 PI)) (pow (asin (/ (+ (* v (* -5 v)) 1) (+ (* v v) -1))) 3))) (+ (* (+ (asin (/ (+ (* v (* -5 v)) 1) (+ (* v v) -1))) (/ PI 2)) (/ PI 2)) (* (asin (/ (+ (* v (* -5 v)) 1) (+ (* v v) -1))) (asin (/ (+ (* v (* -5 v)) 1) (+ (* v v) -1)))))))) * * * * [misc]progress: [ 70 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))) (* (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))) (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (225 enodes) * * [misc]simplify: iters left: 2 (493 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))) (cbrt (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) (cbrt (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))) (cbrt (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) (cbrt (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) (/ (- (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))))) * [enter]simplify: Simplifying (/ (- (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (237 enodes) * [exit]simplify: Simplified to (/ (- (/ PI 2) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (cbrt (+ (* (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (* (/ PI 2) (+ (/ PI 2) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))) (cbrt (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) (cbrt (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) (/ (- (/ PI 2) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (cbrt (+ (* (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (* (/ PI 2) (+ (/ PI 2) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))))))))) * * * * [misc]progress: [ 71 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))) (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (220 enodes) * * [misc]simplify: iters left: 2 (482 enodes) * [exit]simplify: Simplified to (/ (+ (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))) (* (/ PI 2) (+ (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (/ PI 2)))) (sqrt (+ (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))) (* (/ PI 2) (+ (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (/ PI 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (+ (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))) (* (/ PI 2) (+ (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (/ PI 2)))) (sqrt (+ (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))) (* (/ PI 2) (+ (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (/ PI 2)))))) (/ (- (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))))) * [enter]simplify: Simplifying (/ (- (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (237 enodes) * [exit]simplify: Simplified to (/ (- (/ PI 2) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (sqrt (+ (* (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (* (/ PI 2) (+ (/ PI 2) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (+ (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))) (* (/ PI 2) (+ (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (/ PI 2)))) (sqrt (+ (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))) (* (/ PI 2) (+ (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (/ PI 2)))))) (/ (- (/ PI 2) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (sqrt (+ (* (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (* (/ PI 2) (+ (/ PI 2) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))))))))) * * * * [misc]progress: [ 72 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (220 enodes) * * [misc]simplify: iters left: 2 (484 enodes) * [exit]simplify: Simplified to (+ (* (+ (asin (/ (+ (* v (* v -5)) 1) (+ -1 (* v v)))) (/ PI 2)) (/ PI 2)) (* (asin (/ (+ (* v (* v -5)) 1) (+ -1 (* v v)))) (asin (/ (+ (* v (* v -5)) 1) (+ -1 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (+ (* (+ (asin (/ (+ (* v (* v -5)) 1) (+ -1 (* v v)))) (/ PI 2)) (/ PI 2)) (* (asin (/ (+ (* v (* v -5)) 1) (+ -1 (* v v)))) (asin (/ (+ (* v (* v -5)) 1) (+ -1 (* v v)))))) (/ (- (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))))) * [enter]simplify: Simplifying (/ (- (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * [exit]simplify: Simplified to (/ (- (/ PI 2) (asin (/ (+ 1 (* -5 (* v v))) (- (* v v) 1)))) (+ (* (/ PI 2) (+ (/ PI 2) (asin (/ (+ 1 (* -5 (* v v))) (- (* v v) 1))))) (* (asin (/ (+ 1 (* -5 (* v v))) (- (* v v) 1))) (asin (/ (+ 1 (* -5 (* v v))) (- (* v v) 1)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (+ (* (+ (asin (/ (+ (* v (* v -5)) 1) (+ -1 (* v v)))) (/ PI 2)) (/ PI 2)) (* (asin (/ (+ (* v (* v -5)) 1) (+ -1 (* v v)))) (asin (/ (+ (* v (* v -5)) 1) (+ -1 (* v v)))))) (/ (- (/ PI 2) (asin (/ (+ 1 (* -5 (* v v))) (- (* v v) 1)))) (+ (* (/ PI 2) (+ (/ PI 2) (asin (/ (+ 1 (* -5 (* v v))) (- (* v v) 1))))) (* (asin (/ (+ 1 (* -5 (* v v))) (- (* v v) 1))) (asin (/ (+ 1 (* -5 (* v v))) (- (* v v) 1)))))))) * * * * [misc]progress: [ 73 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))) (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (225 enodes) * * [misc]simplify: iters left: 2 (493 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ (* (/ PI 2) (/ PI 2)) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (+ (/ PI 2) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) (cbrt (+ (* (/ PI 2) (/ PI 2)) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (+ (/ PI 2) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (* (cbrt (+ (* (/ PI 2) (/ PI 2)) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (+ (/ PI 2) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) (cbrt (+ (* (/ PI 2) (/ PI 2)) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (+ (/ PI 2) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))))) (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))))) * [enter]simplify: Simplifying (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (311 enodes) * [exit]simplify: Simplified to (/ (- (/ (* PI PI) (/ 8 PI)) (pow (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))) 3)) (cbrt (+ (* (/ PI 2) (/ PI 2)) (* (+ (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))) (/ PI 2)) (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (* (cbrt (+ (* (/ PI 2) (/ PI 2)) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (+ (/ PI 2) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) (cbrt (+ (* (/ PI 2) (/ PI 2)) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (+ (/ PI 2) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))))) (/ (- (/ (* PI PI) (/ 8 PI)) (pow (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))) 3)) (cbrt (+ (* (/ PI 2) (/ PI 2)) (* (+ (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))) (/ PI 2)) (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))))))))) * * * * [misc]progress: [ 74 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (220 enodes) * * [misc]simplify: iters left: 2 (482 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (* (asin (/ (- 1 (* (* v v) 5)) (+ (* v v) -1))) (asin (/ (- 1 (* (* v v) 5)) (+ (* v v) -1)))) (* (/ PI 2) (+ (/ PI 2) (asin (/ (- 1 (* (* v v) 5)) (+ (* v v) -1)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt (+ (* (asin (/ (- 1 (* (* v v) 5)) (+ (* v v) -1))) (asin (/ (- 1 (* (* v v) 5)) (+ (* v v) -1)))) (* (/ PI 2) (+ (/ PI 2) (asin (/ (- 1 (* (* v v) 5)) (+ (* v v) -1)))))))) (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))))) * [enter]simplify: Simplifying (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (311 enodes) * [exit]simplify: Simplified to (/ (- (/ (* PI PI) (/ 8 PI)) (pow (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))) 3)) (sqrt (+ (* (/ PI 2) (/ PI 2)) (* (+ (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))) (/ PI 2)) (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (+ (* (asin (/ (- 1 (* (* v v) 5)) (+ (* v v) -1))) (asin (/ (- 1 (* (* v v) 5)) (+ (* v v) -1)))) (* (/ PI 2) (+ (/ PI 2) (asin (/ (- 1 (* (* v v) 5)) (+ (* v v) -1)))))))) (/ (- (/ (* PI PI) (/ 8 PI)) (pow (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))) 3)) (sqrt (+ (* (/ PI 2) (/ PI 2)) (* (+ (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))) (/ PI 2)) (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))))))))) * * * * [misc]progress: [ 75 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (v) (* 1 (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))))) * [enter]simplify: Simplifying (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (154 enodes) * * [misc]simplify: iters left: 3 (309 enodes) * [exit]simplify: Simplified to (/ (- (* (/ PI 8) (* PI PI)) (pow (asin (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1))) 3)) (+ (* (asin (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1))) (asin (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1)))) (* (/ PI 2) (+ (asin (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1))) (/ PI 2))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* 1 (/ (- (* (/ PI 8) (* PI PI)) (pow (asin (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1))) 3)) (+ (* (asin (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1))) (asin (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1)))) (* (/ PI 2) (+ (asin (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1))) (/ PI 2))))))) * * * * [misc]progress: [ 76 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (pow (sqrt (/ PI 2)) 3) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) (* (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))) (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * * [misc]simplify: iters left: 3 (328 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))) (sqrt (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))))) (* (/ PI 2) (sqrt (/ PI 2)))) (cbrt (+ (* (+ (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))) (/ PI 2)) (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v))))) (* (/ PI 2) (/ PI 2))))) (cbrt (+ (* (+ (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))) (/ PI 2)) (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v))))) (* (/ PI 2) (/ PI 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (+ (* (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))) (sqrt (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))))) (* (/ PI 2) (sqrt (/ PI 2)))) (cbrt (+ (* (+ (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))) (/ PI 2)) (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v))))) (* (/ PI 2) (/ PI 2))))) (cbrt (+ (* (+ (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))) (/ PI 2)) (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v))))) (* (/ PI 2) (/ PI 2))))) (/ (- (pow (sqrt (/ PI 2)) 3) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))))) * [enter]simplify: Simplifying (/ (- (pow (sqrt (/ PI 2)) 3) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * * [misc]simplify: iters left: 3 (369 enodes) * [exit]simplify: Simplified to (/ (- (* (sqrt (/ PI 2)) (/ PI 2)) (* (sqrt (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1)))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))) (cbrt (+ (* (/ PI 2) (+ (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (/ PI 2))) (* (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (+ (* (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))) (sqrt (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))))) (* (/ PI 2) (sqrt (/ PI 2)))) (cbrt (+ (* (+ (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))) (/ PI 2)) (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v))))) (* (/ PI 2) (/ PI 2))))) (cbrt (+ (* (+ (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))) (/ PI 2)) (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v))))) (* (/ PI 2) (/ PI 2))))) (/ (- (* (sqrt (/ PI 2)) (/ PI 2)) (* (sqrt (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1)))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))) (cbrt (+ (* (/ PI 2) (+ (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (/ PI 2))) (* (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))))))) * * * * [misc]progress: [ 77 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (pow (sqrt (/ PI 2)) 3) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (319 enodes) * [exit]simplify: Simplified to (/ (+ (* (sqrt (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1)))) (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1)))) (* (sqrt (/ PI 2)) (/ PI 2))) (sqrt (+ (* (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1))) (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1)))) (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1))) (/ PI 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (+ (* (sqrt (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1)))) (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1)))) (* (sqrt (/ PI 2)) (/ PI 2))) (sqrt (+ (* (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1))) (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1)))) (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1))) (/ PI 2)))))) (/ (- (pow (sqrt (/ PI 2)) 3) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))))) * [enter]simplify: Simplifying (/ (- (pow (sqrt (/ PI 2)) 3) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * * [misc]simplify: iters left: 3 (369 enodes) * [exit]simplify: Simplified to (/ (- (* (sqrt (/ PI 2)) (/ PI 2)) (* (sqrt (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1)))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))) (sqrt (+ (* (/ PI 2) (+ (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (/ PI 2))) (* (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (+ (pow (sqrt (/ PI 2)) 3) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) (/ (- (* (sqrt (/ PI 2)) (/ PI 2)) (* (sqrt (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1)))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))) (sqrt (+ (* (/ PI 2) (+ (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (/ PI 2))) (* (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))))))) * * * * [misc]progress: [ 78 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (pow (sqrt (/ PI 2)) 3) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (453 enodes) * [exit]simplify: Simplified to (+ (* (sqrt (asin (- (/ 1 (- (* v v) 1)) (/ (* (* v v) 5) (- (* v v) 1))))) (asin (- (/ 1 (- (* v v) 1)) (/ (* (* v v) 5) (- (* v v) 1))))) (* (/ PI 2) (sqrt (/ PI 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (+ (* (sqrt (asin (- (/ 1 (- (* v v) 1)) (/ (* (* v v) 5) (- (* v v) 1))))) (asin (- (/ 1 (- (* v v) 1)) (/ (* (* v v) 5) (- (* v v) 1))))) (* (/ PI 2) (sqrt (/ PI 2)))) (/ (- (pow (sqrt (/ PI 2)) 3) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))))) * [enter]simplify: Simplifying (/ (- (pow (sqrt (/ PI 2)) 3) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (160 enodes) * * [misc]simplify: iters left: 3 (362 enodes) * [exit]simplify: Simplified to (/ (- (* (sqrt (/ PI 2)) (/ PI 2)) (* (sqrt (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v)))))) (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v))))))) (+ (* (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v))))) (+ (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v))))) (/ PI 2))) (* (/ PI 2) (/ PI 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (+ (pow (sqrt (/ PI 2)) 3) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) 1) (/ (- (* (sqrt (/ PI 2)) (/ PI 2)) (* (sqrt (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v)))))) (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v))))))) (+ (* (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v))))) (+ (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v))))) (/ PI 2))) (* (/ PI 2) (/ PI 2)))))) * * * * [misc]progress: [ 79 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (pow (sqrt (/ PI 2)) 3) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) (* (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))) (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * * [misc]simplify: iters left: 3 (328 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))) (sqrt (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))))) (* (/ PI 2) (sqrt (/ PI 2)))) (cbrt (+ (* (+ (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))) (/ PI 2)) (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v))))) (* (/ PI 2) (/ PI 2))))) (cbrt (+ (* (+ (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))) (/ PI 2)) (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v))))) (* (/ PI 2) (/ PI 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (+ (* (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))) (sqrt (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))))) (* (/ PI 2) (sqrt (/ PI 2)))) (cbrt (+ (* (+ (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))) (/ PI 2)) (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v))))) (* (/ PI 2) (/ PI 2))))) (cbrt (+ (* (+ (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))) (/ PI 2)) (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v))))) (* (/ PI 2) (/ PI 2))))) (/ (- (pow (sqrt (/ PI 2)) 3) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))))) * [enter]simplify: Simplifying (/ (- (pow (sqrt (/ PI 2)) 3) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * * [misc]simplify: iters left: 3 (369 enodes) * [exit]simplify: Simplified to (/ (- (* (sqrt (/ PI 2)) (/ PI 2)) (* (sqrt (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1)))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))) (cbrt (+ (* (/ PI 2) (+ (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (/ PI 2))) (* (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (+ (* (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))) (sqrt (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))))) (* (/ PI 2) (sqrt (/ PI 2)))) (cbrt (+ (* (+ (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))) (/ PI 2)) (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v))))) (* (/ PI 2) (/ PI 2))))) (cbrt (+ (* (+ (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))) (/ PI 2)) (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v))))) (* (/ PI 2) (/ PI 2))))) (/ (- (* (sqrt (/ PI 2)) (/ PI 2)) (* (sqrt (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1)))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))) (cbrt (+ (* (/ PI 2) (+ (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (/ PI 2))) (* (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))))))) * * * * [misc]progress: [ 80 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (pow (sqrt (/ PI 2)) 3) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (319 enodes) * [exit]simplify: Simplified to (/ (+ (* (sqrt (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1)))) (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1)))) (* (sqrt (/ PI 2)) (/ PI 2))) (sqrt (+ (* (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1))) (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1)))) (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1))) (/ PI 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (+ (* (sqrt (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1)))) (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1)))) (* (sqrt (/ PI 2)) (/ PI 2))) (sqrt (+ (* (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1))) (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1)))) (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1))) (/ PI 2)))))) (/ (- (pow (sqrt (/ PI 2)) 3) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))))) * [enter]simplify: Simplifying (/ (- (pow (sqrt (/ PI 2)) 3) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * * [misc]simplify: iters left: 3 (369 enodes) * [exit]simplify: Simplified to (/ (- (* (sqrt (/ PI 2)) (/ PI 2)) (* (sqrt (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1)))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))) (sqrt (+ (* (/ PI 2) (+ (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (/ PI 2))) (* (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (+ (pow (sqrt (/ PI 2)) 3) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) (/ (- (* (sqrt (/ PI 2)) (/ PI 2)) (* (sqrt (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1)))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))) (sqrt (+ (* (/ PI 2) (+ (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (/ PI 2))) (* (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))))))) * * * * [misc]progress: [ 81 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (pow (sqrt (/ PI 2)) 3) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (453 enodes) * [exit]simplify: Simplified to (+ (* (sqrt (asin (- (/ 1 (- (* v v) 1)) (/ (* (* v v) 5) (- (* v v) 1))))) (asin (- (/ 1 (- (* v v) 1)) (/ (* (* v v) 5) (- (* v v) 1))))) (* (/ PI 2) (sqrt (/ PI 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (+ (* (sqrt (asin (- (/ 1 (- (* v v) 1)) (/ (* (* v v) 5) (- (* v v) 1))))) (asin (- (/ 1 (- (* v v) 1)) (/ (* (* v v) 5) (- (* v v) 1))))) (* (/ PI 2) (sqrt (/ PI 2)))) (/ (- (pow (sqrt (/ PI 2)) 3) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))))) * [enter]simplify: Simplifying (/ (- (pow (sqrt (/ PI 2)) 3) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (160 enodes) * * [misc]simplify: iters left: 3 (362 enodes) * [exit]simplify: Simplified to (/ (- (* (sqrt (/ PI 2)) (/ PI 2)) (* (sqrt (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v)))))) (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v))))))) (+ (* (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v))))) (+ (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v))))) (/ PI 2))) (* (/ PI 2) (/ PI 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (+ (pow (sqrt (/ PI 2)) 3) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) 1) (/ (- (* (sqrt (/ PI 2)) (/ PI 2)) (* (sqrt (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v)))))) (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v))))))) (+ (* (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v))))) (+ (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v))))) (/ PI 2))) (* (/ PI 2) (/ PI 2)))))) * * * * [misc]progress: [ 82 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (pow (sqrt (/ PI 2)) 3) (sqrt (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) (* (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))) (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (137 enodes) * * [misc]simplify: iters left: 3 (273 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (pow (asin (/ (+ (* v (* -5 v)) 1) (- (* v v) 1))) 3)) (* (sqrt (/ PI 2)) (/ PI 2))) (* (cbrt (+ (* (asin (/ (+ (* v (* -5 v)) 1) (- (* v v) 1))) (asin (/ (+ (* v (* -5 v)) 1) (- (* v v) 1)))) (* (/ PI 2) (+ (asin (/ (+ (* v (* -5 v)) 1) (- (* v v) 1))) (/ PI 2))))) (cbrt (+ (* (asin (/ (+ (* v (* -5 v)) 1) (- (* v v) 1))) (asin (/ (+ (* v (* -5 v)) 1) (- (* v v) 1)))) (* (/ PI 2) (+ (asin (/ (+ (* v (* -5 v)) 1) (- (* v v) 1))) (/ PI 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (+ (sqrt (pow (asin (/ (+ (* v (* -5 v)) 1) (- (* v v) 1))) 3)) (* (sqrt (/ PI 2)) (/ PI 2))) (* (cbrt (+ (* (asin (/ (+ (* v (* -5 v)) 1) (- (* v v) 1))) (asin (/ (+ (* v (* -5 v)) 1) (- (* v v) 1)))) (* (/ PI 2) (+ (asin (/ (+ (* v (* -5 v)) 1) (- (* v v) 1))) (/ PI 2))))) (cbrt (+ (* (asin (/ (+ (* v (* -5 v)) 1) (- (* v v) 1))) (asin (/ (+ (* v (* -5 v)) 1) (- (* v v) 1)))) (* (/ PI 2) (+ (asin (/ (+ (* v (* -5 v)) 1) (- (* v v) 1))) (/ PI 2))))))) (/ (- (pow (sqrt (/ PI 2)) 3) (sqrt (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))))) * [enter]simplify: Simplifying (/ (- (pow (sqrt (/ PI 2)) 3) (sqrt (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (145 enodes) * * [misc]simplify: iters left: 3 (293 enodes) * [exit]simplify: Simplified to (/ (- (* (sqrt (/ PI 2)) (/ PI 2)) (sqrt (pow (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v))))) 3))) (cbrt (+ (* (+ (/ PI 2) (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v)))))) (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v)))))) (* (/ PI 2) (/ PI 2))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (+ (sqrt (pow (asin (/ (+ (* v (* -5 v)) 1) (- (* v v) 1))) 3)) (* (sqrt (/ PI 2)) (/ PI 2))) (* (cbrt (+ (* (asin (/ (+ (* v (* -5 v)) 1) (- (* v v) 1))) (asin (/ (+ (* v (* -5 v)) 1) (- (* v v) 1)))) (* (/ PI 2) (+ (asin (/ (+ (* v (* -5 v)) 1) (- (* v v) 1))) (/ PI 2))))) (cbrt (+ (* (asin (/ (+ (* v (* -5 v)) 1) (- (* v v) 1))) (asin (/ (+ (* v (* -5 v)) 1) (- (* v v) 1)))) (* (/ PI 2) (+ (asin (/ (+ (* v (* -5 v)) 1) (- (* v v) 1))) (/ PI 2))))))) (/ (- (* (sqrt (/ PI 2)) (/ PI 2)) (sqrt (pow (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v))))) 3))) (cbrt (+ (* (+ (/ PI 2) (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v)))))) (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v)))))) (* (/ PI 2) (/ PI 2))))))) * * * * [misc]progress: [ 83 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (pow (sqrt (/ PI 2)) 3) (sqrt (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (271 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (pow (asin (/ (+ 1 (* (* -5 v) v)) (+ (* v v) -1))) 3)) (* (sqrt (/ PI 2)) (/ PI 2))) (sqrt (+ (* (asin (/ (+ 1 (* (* -5 v) v)) (+ (* v v) -1))) (asin (/ (+ 1 (* (* -5 v) v)) (+ (* v v) -1)))) (* (+ (/ PI 2) (asin (/ (+ 1 (* (* -5 v) v)) (+ (* v v) -1)))) (/ PI 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (+ (sqrt (pow (asin (/ (+ 1 (* (* -5 v) v)) (+ (* v v) -1))) 3)) (* (sqrt (/ PI 2)) (/ PI 2))) (sqrt (+ (* (asin (/ (+ 1 (* (* -5 v) v)) (+ (* v v) -1))) (asin (/ (+ 1 (* (* -5 v) v)) (+ (* v v) -1)))) (* (+ (/ PI 2) (asin (/ (+ 1 (* (* -5 v) v)) (+ (* v v) -1)))) (/ PI 2))))) (/ (- (pow (sqrt (/ PI 2)) 3) (sqrt (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))))) * [enter]simplify: Simplifying (/ (- (pow (sqrt (/ PI 2)) 3) (sqrt (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (145 enodes) * * [misc]simplify: iters left: 3 (293 enodes) * [exit]simplify: Simplified to (/ (- (* (sqrt (/ PI 2)) (/ PI 2)) (sqrt (pow (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v))))) 3))) (sqrt (+ (* (+ (/ PI 2) (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v)))))) (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v)))))) (* (/ PI 2) (/ PI 2))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (+ (sqrt (pow (asin (/ (+ 1 (* (* -5 v) v)) (+ (* v v) -1))) 3)) (* (sqrt (/ PI 2)) (/ PI 2))) (sqrt (+ (* (asin (/ (+ 1 (* (* -5 v) v)) (+ (* v v) -1))) (asin (/ (+ 1 (* (* -5 v) v)) (+ (* v v) -1)))) (* (+ (/ PI 2) (asin (/ (+ 1 (* (* -5 v) v)) (+ (* v v) -1)))) (/ PI 2))))) (/ (- (* (sqrt (/ PI 2)) (/ PI 2)) (sqrt (pow (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v))))) 3))) (sqrt (+ (* (+ (/ PI 2) (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v)))))) (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v)))))) (* (/ PI 2) (/ PI 2))))))) * * * * [misc]progress: [ 84 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (pow (sqrt (/ PI 2)) 3) (sqrt (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (452 enodes) * [exit]simplify: Simplified to (+ (sqrt (pow (asin (- (/ 1 (- (* v v) 1)) (/ (* (* v v) 5) (- (* v v) 1)))) 3)) (* (sqrt (/ PI 2)) (/ PI 2))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (+ (sqrt (pow (asin (- (/ 1 (- (* v v) 1)) (/ (* (* v v) 5) (- (* v v) 1)))) 3)) (* (sqrt (/ PI 2)) (/ PI 2))) (/ (- (pow (sqrt (/ PI 2)) 3) (sqrt (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))))) * [enter]simplify: Simplifying (/ (- (pow (sqrt (/ PI 2)) 3) (sqrt (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (293 enodes) * [exit]simplify: Simplified to (/ (- (* (sqrt (/ PI 2)) (/ PI 2)) (sqrt (pow (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1))) 3))) (+ (* (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1))) (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1)))) (* (+ (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1))) (/ PI 2)) (/ PI 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (+ (pow (sqrt (/ PI 2)) 3) (sqrt (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) 1) (/ (- (* (sqrt (/ PI 2)) (/ PI 2)) (sqrt (pow (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1))) 3))) (+ (* (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1))) (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1)))) (* (+ (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1))) (/ PI 2)) (/ PI 2)))))) * * * * [misc]progress: [ 85 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (pow (sqrt (/ PI 2)) 3) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) (* (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))) (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * * [misc]simplify: iters left: 3 (328 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))) (sqrt (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))))) (* (/ PI 2) (sqrt (/ PI 2)))) (cbrt (+ (* (+ (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))) (/ PI 2)) (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v))))) (* (/ PI 2) (/ PI 2))))) (cbrt (+ (* (+ (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))) (/ PI 2)) (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v))))) (* (/ PI 2) (/ PI 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (+ (* (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))) (sqrt (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))))) (* (/ PI 2) (sqrt (/ PI 2)))) (cbrt (+ (* (+ (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))) (/ PI 2)) (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v))))) (* (/ PI 2) (/ PI 2))))) (cbrt (+ (* (+ (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))) (/ PI 2)) (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v))))) (* (/ PI 2) (/ PI 2))))) (/ (- (pow (sqrt (/ PI 2)) 3) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))))) * [enter]simplify: Simplifying (/ (- (pow (sqrt (/ PI 2)) 3) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * * [misc]simplify: iters left: 3 (369 enodes) * [exit]simplify: Simplified to (/ (- (* (sqrt (/ PI 2)) (/ PI 2)) (* (sqrt (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1)))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))) (cbrt (+ (* (/ PI 2) (+ (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (/ PI 2))) (* (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (+ (* (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))) (sqrt (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))))) (* (/ PI 2) (sqrt (/ PI 2)))) (cbrt (+ (* (+ (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))) (/ PI 2)) (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v))))) (* (/ PI 2) (/ PI 2))))) (cbrt (+ (* (+ (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))) (/ PI 2)) (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v))))) (* (/ PI 2) (/ PI 2))))) (/ (- (* (sqrt (/ PI 2)) (/ PI 2)) (* (sqrt (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1)))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))) (cbrt (+ (* (/ PI 2) (+ (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (/ PI 2))) (* (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))))))) * * * * [misc]progress: [ 86 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (pow (sqrt (/ PI 2)) 3) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (319 enodes) * [exit]simplify: Simplified to (/ (+ (* (sqrt (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1)))) (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1)))) (* (sqrt (/ PI 2)) (/ PI 2))) (sqrt (+ (* (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1))) (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1)))) (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1))) (/ PI 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (+ (* (sqrt (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1)))) (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1)))) (* (sqrt (/ PI 2)) (/ PI 2))) (sqrt (+ (* (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1))) (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1)))) (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1))) (/ PI 2)))))) (/ (- (pow (sqrt (/ PI 2)) 3) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))))) * [enter]simplify: Simplifying (/ (- (pow (sqrt (/ PI 2)) 3) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * * [misc]simplify: iters left: 3 (369 enodes) * [exit]simplify: Simplified to (/ (- (* (sqrt (/ PI 2)) (/ PI 2)) (* (sqrt (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1)))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))) (sqrt (+ (* (/ PI 2) (+ (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (/ PI 2))) (* (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (+ (pow (sqrt (/ PI 2)) 3) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) (/ (- (* (sqrt (/ PI 2)) (/ PI 2)) (* (sqrt (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1)))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))) (sqrt (+ (* (/ PI 2) (+ (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (/ PI 2))) (* (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))))))) * * * * [misc]progress: [ 87 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (pow (sqrt (/ PI 2)) 3) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (453 enodes) * [exit]simplify: Simplified to (+ (* (sqrt (asin (- (/ 1 (- (* v v) 1)) (/ (* (* v v) 5) (- (* v v) 1))))) (asin (- (/ 1 (- (* v v) 1)) (/ (* (* v v) 5) (- (* v v) 1))))) (* (/ PI 2) (sqrt (/ PI 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (+ (* (sqrt (asin (- (/ 1 (- (* v v) 1)) (/ (* (* v v) 5) (- (* v v) 1))))) (asin (- (/ 1 (- (* v v) 1)) (/ (* (* v v) 5) (- (* v v) 1))))) (* (/ PI 2) (sqrt (/ PI 2)))) (/ (- (pow (sqrt (/ PI 2)) 3) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))))) * [enter]simplify: Simplifying (/ (- (pow (sqrt (/ PI 2)) 3) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (160 enodes) * * [misc]simplify: iters left: 3 (362 enodes) * [exit]simplify: Simplified to (/ (- (* (sqrt (/ PI 2)) (/ PI 2)) (* (sqrt (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v)))))) (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v))))))) (+ (* (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v))))) (+ (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v))))) (/ PI 2))) (* (/ PI 2) (/ PI 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (+ (pow (sqrt (/ PI 2)) 3) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) 1) (/ (- (* (sqrt (/ PI 2)) (/ PI 2)) (* (sqrt (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v)))))) (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v))))))) (+ (* (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v))))) (+ (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v))))) (/ PI 2))) (* (/ PI 2) (/ PI 2)))))) * * * * [misc]progress: [ 88 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (pow (sqrt (/ PI 2)) 3) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) (* (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))) (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * * [misc]simplify: iters left: 3 (328 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))) (sqrt (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))))) (* (/ PI 2) (sqrt (/ PI 2)))) (cbrt (+ (* (+ (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))) (/ PI 2)) (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v))))) (* (/ PI 2) (/ PI 2))))) (cbrt (+ (* (+ (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))) (/ PI 2)) (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v))))) (* (/ PI 2) (/ PI 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (+ (* (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))) (sqrt (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))))) (* (/ PI 2) (sqrt (/ PI 2)))) (cbrt (+ (* (+ (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))) (/ PI 2)) (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v))))) (* (/ PI 2) (/ PI 2))))) (cbrt (+ (* (+ (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))) (/ PI 2)) (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v))))) (* (/ PI 2) (/ PI 2))))) (/ (- (pow (sqrt (/ PI 2)) 3) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))))) * [enter]simplify: Simplifying (/ (- (pow (sqrt (/ PI 2)) 3) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * * [misc]simplify: iters left: 3 (369 enodes) * [exit]simplify: Simplified to (/ (- (* (sqrt (/ PI 2)) (/ PI 2)) (* (sqrt (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1)))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))) (cbrt (+ (* (/ PI 2) (+ (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (/ PI 2))) (* (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (+ (* (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))) (sqrt (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))))) (* (/ PI 2) (sqrt (/ PI 2)))) (cbrt (+ (* (+ (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))) (/ PI 2)) (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v))))) (* (/ PI 2) (/ PI 2))))) (cbrt (+ (* (+ (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))) (/ PI 2)) (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v))))) (* (/ PI 2) (/ PI 2))))) (/ (- (* (sqrt (/ PI 2)) (/ PI 2)) (* (sqrt (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1)))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))) (cbrt (+ (* (/ PI 2) (+ (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (/ PI 2))) (* (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))))))) * * * * [misc]progress: [ 89 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (pow (sqrt (/ PI 2)) 3) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (319 enodes) * [exit]simplify: Simplified to (/ (+ (* (sqrt (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1)))) (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1)))) (* (sqrt (/ PI 2)) (/ PI 2))) (sqrt (+ (* (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1))) (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1)))) (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1))) (/ PI 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (+ (* (sqrt (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1)))) (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1)))) (* (sqrt (/ PI 2)) (/ PI 2))) (sqrt (+ (* (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1))) (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1)))) (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1))) (/ PI 2)))))) (/ (- (pow (sqrt (/ PI 2)) 3) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))))) * [enter]simplify: Simplifying (/ (- (pow (sqrt (/ PI 2)) 3) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * * [misc]simplify: iters left: 3 (369 enodes) * [exit]simplify: Simplified to (/ (- (* (sqrt (/ PI 2)) (/ PI 2)) (* (sqrt (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1)))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))) (sqrt (+ (* (/ PI 2) (+ (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (/ PI 2))) (* (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (+ (pow (sqrt (/ PI 2)) 3) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) (/ (- (* (sqrt (/ PI 2)) (/ PI 2)) (* (sqrt (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1)))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))) (sqrt (+ (* (/ PI 2) (+ (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (/ PI 2))) (* (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))))))) * * * * [misc]progress: [ 90 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (pow (sqrt (/ PI 2)) 3) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (453 enodes) * [exit]simplify: Simplified to (+ (* (sqrt (asin (- (/ 1 (- (* v v) 1)) (/ (* (* v v) 5) (- (* v v) 1))))) (asin (- (/ 1 (- (* v v) 1)) (/ (* (* v v) 5) (- (* v v) 1))))) (* (/ PI 2) (sqrt (/ PI 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (+ (* (sqrt (asin (- (/ 1 (- (* v v) 1)) (/ (* (* v v) 5) (- (* v v) 1))))) (asin (- (/ 1 (- (* v v) 1)) (/ (* (* v v) 5) (- (* v v) 1))))) (* (/ PI 2) (sqrt (/ PI 2)))) (/ (- (pow (sqrt (/ PI 2)) 3) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))))) * [enter]simplify: Simplifying (/ (- (pow (sqrt (/ PI 2)) 3) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (160 enodes) * * [misc]simplify: iters left: 3 (362 enodes) * [exit]simplify: Simplified to (/ (- (* (sqrt (/ PI 2)) (/ PI 2)) (* (sqrt (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v)))))) (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v))))))) (+ (* (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v))))) (+ (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v))))) (/ PI 2))) (* (/ PI 2) (/ PI 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (+ (pow (sqrt (/ PI 2)) 3) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) 1) (/ (- (* (sqrt (/ PI 2)) (/ PI 2)) (* (sqrt (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v)))))) (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v))))))) (+ (* (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v))))) (+ (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v))))) (/ PI 2))) (* (/ PI 2) (/ PI 2)))))) * * * * [misc]progress: [ 91 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (pow (sqrt (/ PI 2)) 3) (sqrt (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) (* (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))) (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (137 enodes) * * [misc]simplify: iters left: 3 (273 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (pow (asin (/ (+ (* v (* -5 v)) 1) (- (* v v) 1))) 3)) (* (sqrt (/ PI 2)) (/ PI 2))) (* (cbrt (+ (* (asin (/ (+ (* v (* -5 v)) 1) (- (* v v) 1))) (asin (/ (+ (* v (* -5 v)) 1) (- (* v v) 1)))) (* (/ PI 2) (+ (asin (/ (+ (* v (* -5 v)) 1) (- (* v v) 1))) (/ PI 2))))) (cbrt (+ (* (asin (/ (+ (* v (* -5 v)) 1) (- (* v v) 1))) (asin (/ (+ (* v (* -5 v)) 1) (- (* v v) 1)))) (* (/ PI 2) (+ (asin (/ (+ (* v (* -5 v)) 1) (- (* v v) 1))) (/ PI 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (+ (sqrt (pow (asin (/ (+ (* v (* -5 v)) 1) (- (* v v) 1))) 3)) (* (sqrt (/ PI 2)) (/ PI 2))) (* (cbrt (+ (* (asin (/ (+ (* v (* -5 v)) 1) (- (* v v) 1))) (asin (/ (+ (* v (* -5 v)) 1) (- (* v v) 1)))) (* (/ PI 2) (+ (asin (/ (+ (* v (* -5 v)) 1) (- (* v v) 1))) (/ PI 2))))) (cbrt (+ (* (asin (/ (+ (* v (* -5 v)) 1) (- (* v v) 1))) (asin (/ (+ (* v (* -5 v)) 1) (- (* v v) 1)))) (* (/ PI 2) (+ (asin (/ (+ (* v (* -5 v)) 1) (- (* v v) 1))) (/ PI 2))))))) (/ (- (pow (sqrt (/ PI 2)) 3) (sqrt (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))))) * [enter]simplify: Simplifying (/ (- (pow (sqrt (/ PI 2)) 3) (sqrt (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (145 enodes) * * [misc]simplify: iters left: 3 (293 enodes) * [exit]simplify: Simplified to (/ (- (* (sqrt (/ PI 2)) (/ PI 2)) (sqrt (pow (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v))))) 3))) (cbrt (+ (* (+ (/ PI 2) (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v)))))) (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v)))))) (* (/ PI 2) (/ PI 2))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (+ (sqrt (pow (asin (/ (+ (* v (* -5 v)) 1) (- (* v v) 1))) 3)) (* (sqrt (/ PI 2)) (/ PI 2))) (* (cbrt (+ (* (asin (/ (+ (* v (* -5 v)) 1) (- (* v v) 1))) (asin (/ (+ (* v (* -5 v)) 1) (- (* v v) 1)))) (* (/ PI 2) (+ (asin (/ (+ (* v (* -5 v)) 1) (- (* v v) 1))) (/ PI 2))))) (cbrt (+ (* (asin (/ (+ (* v (* -5 v)) 1) (- (* v v) 1))) (asin (/ (+ (* v (* -5 v)) 1) (- (* v v) 1)))) (* (/ PI 2) (+ (asin (/ (+ (* v (* -5 v)) 1) (- (* v v) 1))) (/ PI 2))))))) (/ (- (* (sqrt (/ PI 2)) (/ PI 2)) (sqrt (pow (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v))))) 3))) (cbrt (+ (* (+ (/ PI 2) (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v)))))) (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v)))))) (* (/ PI 2) (/ PI 2))))))) * * * * [misc]progress: [ 92 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (pow (sqrt (/ PI 2)) 3) (sqrt (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (271 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (pow (asin (/ (+ 1 (* (* -5 v) v)) (+ (* v v) -1))) 3)) (* (sqrt (/ PI 2)) (/ PI 2))) (sqrt (+ (* (asin (/ (+ 1 (* (* -5 v) v)) (+ (* v v) -1))) (asin (/ (+ 1 (* (* -5 v) v)) (+ (* v v) -1)))) (* (+ (/ PI 2) (asin (/ (+ 1 (* (* -5 v) v)) (+ (* v v) -1)))) (/ PI 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (+ (sqrt (pow (asin (/ (+ 1 (* (* -5 v) v)) (+ (* v v) -1))) 3)) (* (sqrt (/ PI 2)) (/ PI 2))) (sqrt (+ (* (asin (/ (+ 1 (* (* -5 v) v)) (+ (* v v) -1))) (asin (/ (+ 1 (* (* -5 v) v)) (+ (* v v) -1)))) (* (+ (/ PI 2) (asin (/ (+ 1 (* (* -5 v) v)) (+ (* v v) -1)))) (/ PI 2))))) (/ (- (pow (sqrt (/ PI 2)) 3) (sqrt (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))))) * [enter]simplify: Simplifying (/ (- (pow (sqrt (/ PI 2)) 3) (sqrt (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (145 enodes) * * [misc]simplify: iters left: 3 (293 enodes) * [exit]simplify: Simplified to (/ (- (* (sqrt (/ PI 2)) (/ PI 2)) (sqrt (pow (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v))))) 3))) (sqrt (+ (* (+ (/ PI 2) (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v)))))) (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v)))))) (* (/ PI 2) (/ PI 2))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (+ (sqrt (pow (asin (/ (+ 1 (* (* -5 v) v)) (+ (* v v) -1))) 3)) (* (sqrt (/ PI 2)) (/ PI 2))) (sqrt (+ (* (asin (/ (+ 1 (* (* -5 v) v)) (+ (* v v) -1))) (asin (/ (+ 1 (* (* -5 v) v)) (+ (* v v) -1)))) (* (+ (/ PI 2) (asin (/ (+ 1 (* (* -5 v) v)) (+ (* v v) -1)))) (/ PI 2))))) (/ (- (* (sqrt (/ PI 2)) (/ PI 2)) (sqrt (pow (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v))))) 3))) (sqrt (+ (* (+ (/ PI 2) (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v)))))) (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v)))))) (* (/ PI 2) (/ PI 2))))))) * * * * [misc]progress: [ 93 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (pow (sqrt (/ PI 2)) 3) (sqrt (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (452 enodes) * [exit]simplify: Simplified to (+ (sqrt (pow (asin (- (/ 1 (- (* v v) 1)) (/ (* (* v v) 5) (- (* v v) 1)))) 3)) (* (sqrt (/ PI 2)) (/ PI 2))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (+ (sqrt (pow (asin (- (/ 1 (- (* v v) 1)) (/ (* (* v v) 5) (- (* v v) 1)))) 3)) (* (sqrt (/ PI 2)) (/ PI 2))) (/ (- (pow (sqrt (/ PI 2)) 3) (sqrt (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))))) * [enter]simplify: Simplifying (/ (- (pow (sqrt (/ PI 2)) 3) (sqrt (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (293 enodes) * [exit]simplify: Simplified to (/ (- (* (sqrt (/ PI 2)) (/ PI 2)) (sqrt (pow (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1))) 3))) (+ (* (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1))) (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1)))) (* (+ (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1))) (/ PI 2)) (/ PI 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (+ (pow (sqrt (/ PI 2)) 3) (sqrt (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) 1) (/ (- (* (sqrt (/ PI 2)) (/ PI 2)) (sqrt (pow (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1))) 3))) (+ (* (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1))) (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1)))) (* (+ (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1))) (/ PI 2)) (/ PI 2)))))) * * * * [misc]progress: [ 94 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (pow (/ PI 2) 3)) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) (* (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))) (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (154 enodes) * * [misc]simplify: iters left: 3 (347 enodes) * [exit]simplify: Simplified to (/ (+ (* (sqrt (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1)))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1)))) (sqrt (/ (* PI PI) (/ 8 PI)))) (* (cbrt (+ (* (/ PI 2) (+ (/ PI 2) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))) (* (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1)))))) (cbrt (+ (* (/ PI 2) (+ (/ PI 2) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))) (* (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (+ (* (sqrt (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1)))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1)))) (sqrt (/ (* PI PI) (/ 8 PI)))) (* (cbrt (+ (* (/ PI 2) (+ (/ PI 2) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))) (* (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1)))))) (cbrt (+ (* (/ PI 2) (+ (/ PI 2) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))) (* (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1)))))))) (/ (- (sqrt (pow (/ PI 2) 3)) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))))) * [enter]simplify: Simplifying (/ (- (sqrt (pow (/ PI 2) 3)) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (170 enodes) * * [misc]simplify: iters left: 3 (380 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ (* PI PI) (/ 8 PI))) (* (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))) (sqrt (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v))))))) (cbrt (+ (* (/ PI 2) (+ (/ PI 2) (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))))) (* (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))) (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (+ (sqrt (pow (/ PI 2) 3)) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) (* (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))) (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))))) (/ (- (sqrt (/ (* PI PI) (/ 8 PI))) (* (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))) (sqrt (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v))))))) (cbrt (+ (* (/ PI 2) (+ (/ PI 2) (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))))) (* (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))) (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))))))))) * * * * [misc]progress: [ 95 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (pow (/ PI 2) 3)) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (153 enodes) * * [misc]simplify: iters left: 3 (354 enodes) * [exit]simplify: Simplified to (/ (+ (* (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1))) (sqrt (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1))))) (sqrt (* (/ PI 8) (* PI PI)))) (sqrt (+ (* (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1))) (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1)))) (* (/ PI 2) (+ (/ PI 2) (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (+ (* (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1))) (sqrt (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1))))) (sqrt (* (/ PI 8) (* PI PI)))) (sqrt (+ (* (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1))) (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1)))) (* (/ PI 2) (+ (/ PI 2) (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1)))))))) (/ (- (sqrt (pow (/ PI 2) 3)) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))))) * [enter]simplify: Simplifying (/ (- (sqrt (pow (/ PI 2) 3)) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (170 enodes) * * [misc]simplify: iters left: 3 (380 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ (* PI PI) (/ 8 PI))) (* (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))) (sqrt (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v))))))) (sqrt (+ (* (/ PI 2) (+ (/ PI 2) (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))))) (* (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))) (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (+ (sqrt (pow (/ PI 2) 3)) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) (/ (- (sqrt (/ (* PI PI) (/ 8 PI))) (* (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))) (sqrt (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v))))))) (sqrt (+ (* (/ PI 2) (+ (/ PI 2) (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))))) (* (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))) (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))))))))) * * * * [misc]progress: [ 96 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (pow (/ PI 2) 3)) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * [exit]simplify: Simplified to (+ (* (sqrt (asin (/ (+ (* (* v -5) v) 1) (- (* v v) 1)))) (asin (/ (+ (* (* v -5) v) 1) (- (* v v) 1)))) (sqrt (/ (* PI PI) (/ 8 PI)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (+ (* (sqrt (asin (/ (+ (* (* v -5) v) 1) (- (* v v) 1)))) (asin (/ (+ (* (* v -5) v) 1) (- (* v v) 1)))) (sqrt (/ (* PI PI) (/ 8 PI)))) (/ (- (sqrt (pow (/ PI 2) 3)) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))))) * [enter]simplify: Simplifying (/ (- (sqrt (pow (/ PI 2) 3)) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * * [misc]simplify: iters left: 3 (371 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ (* PI PI) (/ 8 PI))) (* (sqrt (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1)))) (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1))))) (+ (* (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1))) (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1)))) (* (+ (/ PI 2) (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1)))) (/ PI 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (+ (sqrt (pow (/ PI 2) 3)) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) 1) (/ (- (sqrt (/ (* PI PI) (/ 8 PI))) (* (sqrt (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1)))) (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1))))) (+ (* (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1))) (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1)))) (* (+ (/ PI 2) (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1)))) (/ PI 2)))))) * * * * [misc]progress: [ 97 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (pow (/ PI 2) 3)) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) (* (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))) (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (154 enodes) * * [misc]simplify: iters left: 3 (347 enodes) * [exit]simplify: Simplified to (/ (+ (* (sqrt (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1)))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1)))) (sqrt (/ (* PI PI) (/ 8 PI)))) (* (cbrt (+ (* (/ PI 2) (+ (/ PI 2) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))) (* (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1)))))) (cbrt (+ (* (/ PI 2) (+ (/ PI 2) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))) (* (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (+ (* (sqrt (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1)))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1)))) (sqrt (/ (* PI PI) (/ 8 PI)))) (* (cbrt (+ (* (/ PI 2) (+ (/ PI 2) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))) (* (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1)))))) (cbrt (+ (* (/ PI 2) (+ (/ PI 2) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))) (* (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1)))))))) (/ (- (sqrt (pow (/ PI 2) 3)) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))))) * [enter]simplify: Simplifying (/ (- (sqrt (pow (/ PI 2) 3)) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (170 enodes) * * [misc]simplify: iters left: 3 (380 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ (* PI PI) (/ 8 PI))) (* (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))) (sqrt (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v))))))) (cbrt (+ (* (/ PI 2) (+ (/ PI 2) (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))))) (* (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))) (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (+ (sqrt (pow (/ PI 2) 3)) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) (* (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))) (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))))) (/ (- (sqrt (/ (* PI PI) (/ 8 PI))) (* (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))) (sqrt (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v))))))) (cbrt (+ (* (/ PI 2) (+ (/ PI 2) (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))))) (* (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))) (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))))))))) * * * * [misc]progress: [ 98 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (pow (/ PI 2) 3)) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (153 enodes) * * [misc]simplify: iters left: 3 (354 enodes) * [exit]simplify: Simplified to (/ (+ (* (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1))) (sqrt (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1))))) (sqrt (* (/ PI 8) (* PI PI)))) (sqrt (+ (* (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1))) (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1)))) (* (/ PI 2) (+ (/ PI 2) (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (+ (* (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1))) (sqrt (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1))))) (sqrt (* (/ PI 8) (* PI PI)))) (sqrt (+ (* (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1))) (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1)))) (* (/ PI 2) (+ (/ PI 2) (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1)))))))) (/ (- (sqrt (pow (/ PI 2) 3)) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))))) * [enter]simplify: Simplifying (/ (- (sqrt (pow (/ PI 2) 3)) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (170 enodes) * * [misc]simplify: iters left: 3 (380 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ (* PI PI) (/ 8 PI))) (* (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))) (sqrt (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v))))))) (sqrt (+ (* (/ PI 2) (+ (/ PI 2) (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))))) (* (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))) (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (+ (sqrt (pow (/ PI 2) 3)) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) (/ (- (sqrt (/ (* PI PI) (/ 8 PI))) (* (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))) (sqrt (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v))))))) (sqrt (+ (* (/ PI 2) (+ (/ PI 2) (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))))) (* (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))) (asin (/ (- 1 (* (* v v) 5)) (+ -1 (* v v)))))))))) * * * * [misc]progress: [ 99 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (pow (/ PI 2) 3)) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * [exit]simplify: Simplified to (+ (* (sqrt (asin (/ (+ (* (* v -5) v) 1) (- (* v v) 1)))) (asin (/ (+ (* (* v -5) v) 1) (- (* v v) 1)))) (sqrt (/ (* PI PI) (/ 8 PI)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (+ (* (sqrt (asin (/ (+ (* (* v -5) v) 1) (- (* v v) 1)))) (asin (/ (+ (* (* v -5) v) 1) (- (* v v) 1)))) (sqrt (/ (* PI PI) (/ 8 PI)))) (/ (- (sqrt (pow (/ PI 2) 3)) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))))) * [enter]simplify: Simplifying (/ (- (sqrt (pow (/ PI 2) 3)) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * * [misc]simplify: iters left: 3 (371 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ (* PI PI) (/ 8 PI))) (* (sqrt (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1)))) (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1))))) (+ (* (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1))) (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1)))) (* (+ (/ PI 2) (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1)))) (/ PI 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (+ (sqrt (pow (/ PI 2) 3)) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) 1) (/ (- (sqrt (/ (* PI PI) (/ 8 PI))) (* (sqrt (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1)))) (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1))))) (+ (* (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1))) (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1)))) (* (+ (/ PI 2) (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1)))) (/ PI 2)))))) * * * * [misc]progress: [ 100 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (pow (/ PI 2) 3)) (sqrt (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) (* (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))) (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (273 enodes) * [exit]simplify: Simplified to (/ (/ (+ (sqrt (pow (asin (- (/ 1 (- (* v v) 1)) (/ (* (* v v) 5) (- (* v v) 1)))) 3)) (sqrt (* (/ PI 8) (* PI PI)))) (cbrt (+ (* (asin (- (/ 1 (- (* v v) 1)) (/ (* (* v v) 5) (- (* v v) 1)))) (asin (- (/ 1 (- (* v v) 1)) (/ (* (* v v) 5) (- (* v v) 1))))) (* (+ (asin (- (/ 1 (- (* v v) 1)) (/ (* (* v v) 5) (- (* v v) 1)))) (/ PI 2)) (/ PI 2))))) (cbrt (+ (* (asin (- (/ 1 (- (* v v) 1)) (/ (* (* v v) 5) (- (* v v) 1)))) (asin (- (/ 1 (- (* v v) 1)) (/ (* (* v v) 5) (- (* v v) 1))))) (* (+ (asin (- (/ 1 (- (* v v) 1)) (/ (* (* v v) 5) (- (* v v) 1)))) (/ PI 2)) (/ PI 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (+ (sqrt (pow (asin (- (/ 1 (- (* v v) 1)) (/ (* (* v v) 5) (- (* v v) 1)))) 3)) (sqrt (* (/ PI 8) (* PI PI)))) (cbrt (+ (* (asin (- (/ 1 (- (* v v) 1)) (/ (* (* v v) 5) (- (* v v) 1)))) (asin (- (/ 1 (- (* v v) 1)) (/ (* (* v v) 5) (- (* v v) 1))))) (* (+ (asin (- (/ 1 (- (* v v) 1)) (/ (* (* v v) 5) (- (* v v) 1)))) (/ PI 2)) (/ PI 2))))) (cbrt (+ (* (asin (- (/ 1 (- (* v v) 1)) (/ (* (* v v) 5) (- (* v v) 1)))) (asin (- (/ 1 (- (* v v) 1)) (/ (* (* v v) 5) (- (* v v) 1))))) (* (+ (asin (- (/ 1 (- (* v v) 1)) (/ (* (* v v) 5) (- (* v v) 1)))) (/ PI 2)) (/ PI 2))))) (/ (- (sqrt (pow (/ PI 2) 3)) (sqrt (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))))) * [enter]simplify: Simplifying (/ (- (sqrt (pow (/ PI 2) 3)) (sqrt (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (278 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (* (/ PI 8) (* PI PI))) (sqrt (pow (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1))) 3))) (cbrt (+ (* (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1))) (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1)))) (* (/ PI 2) (+ (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1))) (/ PI 2)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (+ (sqrt (pow (/ PI 2) 3)) (sqrt (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) (* (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))) (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))))) (/ (- (sqrt (* (/ PI 8) (* PI PI))) (sqrt (pow (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1))) 3))) (cbrt (+ (* (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1))) (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1)))) (* (/ PI 2) (+ (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1))) (/ PI 2)))))))) * * * * [misc]progress: [ 101 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (pow (/ PI 2) 3)) (sqrt (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * * [misc]simplify: iters left: 3 (271 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (pow (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v))))) 3)) (sqrt (/ (* PI PI) (/ 8 PI)))) (sqrt (+ (* (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v))))) (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v)))))) (* (/ PI 2) (+ (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v))))) (/ PI 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (+ (sqrt (pow (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v))))) 3)) (sqrt (/ (* PI PI) (/ 8 PI)))) (sqrt (+ (* (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v))))) (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v)))))) (* (/ PI 2) (+ (asin (- (/ 1 (+ -1 (* v v))) (/ (* (* v v) 5) (+ -1 (* v v))))) (/ PI 2)))))) (/ (- (sqrt (pow (/ PI 2) 3)) (sqrt (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))))) * [enter]simplify: Simplifying (/ (- (sqrt (pow (/ PI 2) 3)) (sqrt (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (278 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (* (/ PI 8) (* PI PI))) (sqrt (pow (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1))) 3))) (sqrt (+ (* (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1))) (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1)))) (* (/ PI 2) (+ (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1))) (/ PI 2)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (+ (sqrt (pow (/ PI 2) 3)) (sqrt (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) (/ (- (sqrt (* (/ PI 8) (* PI PI))) (sqrt (pow (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1))) 3))) (sqrt (+ (* (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1))) (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1)))) (* (/ PI 2) (+ (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1))) (/ PI 2)))))))) * * * * [misc]progress: [ 102 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (pow (/ PI 2) 3)) (sqrt (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (+ (sqrt (pow (asin (/ (+ (* (* v -5) v) 1) (- (* v v) 1))) 3)) (sqrt (/ (* PI PI) (/ 8 PI)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (+ (sqrt (pow (asin (/ (+ (* (* v -5) v) 1) (- (* v v) 1))) 3)) (sqrt (/ (* PI PI) (/ 8 PI)))) (/ (- (sqrt (pow (/ PI 2) 3)) (sqrt (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))))) * [enter]simplify: Simplifying (/ (- (sqrt (pow (/ PI 2) 3)) (sqrt (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (277 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ (* PI PI) (/ 8 PI))) (sqrt (pow (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) 3))) (+ (* (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1)))) (* (+ (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (/ PI 2)) (/ PI 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (+ (sqrt (pow (/ PI 2) 3)) (sqrt (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) 1) (/ (- (sqrt (/ (* PI PI) (/ 8 PI))) (sqrt (pow (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) 3))) (+ (* (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1)))) (* (+ (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (/ PI 2)) (/ PI 2)))))) * * * * [misc]progress: [ 103 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) (* (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))) (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (229 enodes) * * [misc]simplify: iters left: 2 (497 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ (* (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1)))) (* (/ PI 2) (+ (/ PI 2) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))))) (cbrt (+ (* (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1)))) (* (/ PI 2) (+ (/ PI 2) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (* (cbrt (+ (* (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1)))) (* (/ PI 2) (+ (/ PI 2) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))))) (cbrt (+ (* (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1)))) (* (/ PI 2) (+ (/ PI 2) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))))))) (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))))) * [enter]simplify: Simplifying (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (311 enodes) * [exit]simplify: Simplified to (/ (- (/ (* PI PI) (/ 8 PI)) (pow (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))) 3)) (cbrt (+ (* (/ PI 2) (/ PI 2)) (* (+ (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))) (/ PI 2)) (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (* (cbrt (+ (* (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1)))) (* (/ PI 2) (+ (/ PI 2) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))))) (cbrt (+ (* (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1)))) (* (/ PI 2) (+ (/ PI 2) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))))))) (/ (- (/ (* PI PI) (/ 8 PI)) (pow (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))) 3)) (cbrt (+ (* (/ PI 2) (/ PI 2)) (* (+ (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))) (/ PI 2)) (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))))))))) * * * * [misc]progress: [ 104 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (225 enodes) * * [misc]simplify: iters left: 2 (491 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (* (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1))) (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1)))) (* (+ (/ PI 2) (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1)))) (/ PI 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt (+ (* (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1))) (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1)))) (* (+ (/ PI 2) (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1)))) (/ PI 2))))) (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))))) * [enter]simplify: Simplifying (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (311 enodes) * [exit]simplify: Simplified to (/ (- (/ (* PI PI) (/ 8 PI)) (pow (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))) 3)) (sqrt (+ (* (/ PI 2) (/ PI 2)) (* (+ (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))) (/ PI 2)) (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (+ (* (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1))) (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1)))) (* (+ (/ PI 2) (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1)))) (/ PI 2))))) (/ (- (/ (* PI PI) (/ 8 PI)) (pow (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))) 3)) (sqrt (+ (* (/ PI 2) (/ PI 2)) (* (+ (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))) (/ PI 2)) (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))))))))) * * * * [misc]progress: [ 105 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (v) (* 1 (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))))) * [enter]simplify: Simplifying (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (154 enodes) * * [misc]simplify: iters left: 3 (309 enodes) * [exit]simplify: Simplified to (/ (- (* (/ PI 8) (* PI PI)) (pow (asin (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1))) 3)) (+ (* (asin (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1))) (asin (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1)))) (* (/ PI 2) (+ (asin (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1))) (/ PI 2))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* 1 (/ (- (* (/ PI 8) (* PI PI)) (pow (asin (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1))) 3)) (+ (* (asin (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1))) (asin (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1)))) (* (/ PI 2) (+ (asin (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1))) (/ PI 2))))))) * * * * [misc]progress: [ 106 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) (* (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))) (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (229 enodes) * * [misc]simplify: iters left: 2 (497 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ (* (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1)))) (* (/ PI 2) (+ (/ PI 2) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))))) (cbrt (+ (* (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1)))) (* (/ PI 2) (+ (/ PI 2) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (* (cbrt (+ (* (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1)))) (* (/ PI 2) (+ (/ PI 2) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))))) (cbrt (+ (* (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1)))) (* (/ PI 2) (+ (/ PI 2) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))))))) (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))))) * [enter]simplify: Simplifying (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (311 enodes) * [exit]simplify: Simplified to (/ (- (/ (* PI PI) (/ 8 PI)) (pow (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))) 3)) (cbrt (+ (* (/ PI 2) (/ PI 2)) (* (+ (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))) (/ PI 2)) (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (* (cbrt (+ (* (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1)))) (* (/ PI 2) (+ (/ PI 2) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))))) (cbrt (+ (* (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1)))) (* (/ PI 2) (+ (/ PI 2) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))))))) (/ (- (/ (* PI PI) (/ 8 PI)) (pow (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))) 3)) (cbrt (+ (* (/ PI 2) (/ PI 2)) (* (+ (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))) (/ PI 2)) (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))))))))) * * * * [misc]progress: [ 107 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (225 enodes) * * [misc]simplify: iters left: 2 (491 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (* (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1))) (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1)))) (* (+ (/ PI 2) (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1)))) (/ PI 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt (+ (* (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1))) (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1)))) (* (+ (/ PI 2) (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1)))) (/ PI 2))))) (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))))) * [enter]simplify: Simplifying (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (311 enodes) * [exit]simplify: Simplified to (/ (- (/ (* PI PI) (/ 8 PI)) (pow (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))) 3)) (sqrt (+ (* (/ PI 2) (/ PI 2)) (* (+ (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))) (/ PI 2)) (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (+ (* (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1))) (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1)))) (* (+ (/ PI 2) (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1)))) (/ PI 2))))) (/ (- (/ (* PI PI) (/ 8 PI)) (pow (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))) 3)) (sqrt (+ (* (/ PI 2) (/ PI 2)) (* (+ (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))) (/ PI 2)) (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))))))))) * * * * [misc]progress: [ 108 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (v) (* 1 (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))))) * [enter]simplify: Simplifying (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (154 enodes) * * [misc]simplify: iters left: 3 (309 enodes) * [exit]simplify: Simplified to (/ (- (* (/ PI 8) (* PI PI)) (pow (asin (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1))) 3)) (+ (* (asin (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1))) (asin (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1)))) (* (/ PI 2) (+ (asin (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1))) (/ PI 2))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* 1 (/ (- (* (/ PI 8) (* PI PI)) (pow (asin (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1))) 3)) (+ (* (asin (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1))) (asin (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1)))) (* (/ PI 2) (+ (asin (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1))) (/ PI 2))))))) * * * * [misc]progress: [ 109 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) (* (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))) (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (229 enodes) * * [misc]simplify: iters left: 2 (497 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ (* (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1)))) (* (/ PI 2) (+ (/ PI 2) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))))) (cbrt (+ (* (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1)))) (* (/ PI 2) (+ (/ PI 2) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (* (cbrt (+ (* (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1)))) (* (/ PI 2) (+ (/ PI 2) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))))) (cbrt (+ (* (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1)))) (* (/ PI 2) (+ (/ PI 2) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))))))) (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))))) * [enter]simplify: Simplifying (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (311 enodes) * [exit]simplify: Simplified to (/ (- (/ (* PI PI) (/ 8 PI)) (pow (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))) 3)) (cbrt (+ (* (/ PI 2) (/ PI 2)) (* (+ (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))) (/ PI 2)) (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (* (cbrt (+ (* (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1)))) (* (/ PI 2) (+ (/ PI 2) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))))) (cbrt (+ (* (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1)))) (* (/ PI 2) (+ (/ PI 2) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))))))) (/ (- (/ (* PI PI) (/ 8 PI)) (pow (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))) 3)) (cbrt (+ (* (/ PI 2) (/ PI 2)) (* (+ (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))) (/ PI 2)) (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))))))))) * * * * [misc]progress: [ 110 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (225 enodes) * * [misc]simplify: iters left: 2 (491 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (* (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1))) (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1)))) (* (+ (/ PI 2) (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1)))) (/ PI 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt (+ (* (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1))) (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1)))) (* (+ (/ PI 2) (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1)))) (/ PI 2))))) (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))))) * [enter]simplify: Simplifying (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (311 enodes) * [exit]simplify: Simplified to (/ (- (/ (* PI PI) (/ 8 PI)) (pow (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))) 3)) (sqrt (+ (* (/ PI 2) (/ PI 2)) (* (+ (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))) (/ PI 2)) (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (+ (* (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1))) (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1)))) (* (+ (/ PI 2) (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1)))) (/ PI 2))))) (/ (- (/ (* PI PI) (/ 8 PI)) (pow (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))) 3)) (sqrt (+ (* (/ PI 2) (/ PI 2)) (* (+ (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))) (/ PI 2)) (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))))))))) * * * * [misc]progress: [ 111 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (v) (* 1 (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))))) * [enter]simplify: Simplifying (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (154 enodes) * * [misc]simplify: iters left: 3 (309 enodes) * [exit]simplify: Simplified to (/ (- (* (/ PI 8) (* PI PI)) (pow (asin (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1))) 3)) (+ (* (asin (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1))) (asin (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1)))) (* (/ PI 2) (+ (asin (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1))) (/ PI 2))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* 1 (/ (- (* (/ PI 8) (* PI PI)) (pow (asin (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1))) 3)) (+ (* (asin (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1))) (asin (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1)))) (* (/ PI 2) (+ (asin (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1))) (/ PI 2))))))) * * * * [misc]progress: [ 112 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) (* (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))) (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (229 enodes) * * [misc]simplify: iters left: 2 (497 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ (* (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1)))) (* (/ PI 2) (+ (/ PI 2) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))))) (cbrt (+ (* (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1)))) (* (/ PI 2) (+ (/ PI 2) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (* (cbrt (+ (* (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1)))) (* (/ PI 2) (+ (/ PI 2) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))))) (cbrt (+ (* (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1)))) (* (/ PI 2) (+ (/ PI 2) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))))))) (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))))) * [enter]simplify: Simplifying (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (311 enodes) * [exit]simplify: Simplified to (/ (- (/ (* PI PI) (/ 8 PI)) (pow (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))) 3)) (cbrt (+ (* (/ PI 2) (/ PI 2)) (* (+ (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))) (/ PI 2)) (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (* (cbrt (+ (* (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1)))) (* (/ PI 2) (+ (/ PI 2) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))))) (cbrt (+ (* (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1)))) (* (/ PI 2) (+ (/ PI 2) (asin (/ (- 1 (* (* 5 v) v)) (- (* v v) 1))))))))) (/ (- (/ (* PI PI) (/ 8 PI)) (pow (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))) 3)) (cbrt (+ (* (/ PI 2) (/ PI 2)) (* (+ (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))) (/ PI 2)) (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))))))))) * * * * [misc]progress: [ 113 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (225 enodes) * * [misc]simplify: iters left: 2 (491 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (* (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1))) (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1)))) (* (+ (/ PI 2) (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1)))) (/ PI 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt (+ (* (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1))) (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1)))) (* (+ (/ PI 2) (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1)))) (/ PI 2))))) (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))))) * [enter]simplify: Simplifying (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (311 enodes) * [exit]simplify: Simplified to (/ (- (/ (* PI PI) (/ 8 PI)) (pow (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))) 3)) (sqrt (+ (* (/ PI 2) (/ PI 2)) (* (+ (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))) (/ PI 2)) (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (+ (* (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1))) (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1)))) (* (+ (/ PI 2) (asin (/ (+ (* -5 (* v v)) 1) (- (* v v) 1)))) (/ PI 2))))) (/ (- (/ (* PI PI) (/ 8 PI)) (pow (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))) 3)) (sqrt (+ (* (/ PI 2) (/ PI 2)) (* (+ (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))) (/ PI 2)) (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))))))))) * * * * [misc]progress: [ 114 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (v) (* 1 (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))))) * [enter]simplify: Simplifying (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (154 enodes) * * [misc]simplify: iters left: 3 (309 enodes) * [exit]simplify: Simplified to (/ (- (* (/ PI 8) (* PI PI)) (pow (asin (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1))) 3)) (+ (* (asin (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1))) (asin (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1)))) (* (/ PI 2) (+ (asin (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1))) (/ PI 2))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* 1 (/ (- (* (/ PI 8) (* PI PI)) (pow (asin (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1))) 3)) (+ (* (asin (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1))) (asin (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1)))) (* (/ PI 2) (+ (asin (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1))) (/ PI 2))))))) * * * * [misc]progress: [ 115 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))) (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (225 enodes) * * [misc]simplify: iters left: 2 (493 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ (* (/ PI 2) (/ PI 2)) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (+ (/ PI 2) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) (cbrt (+ (* (/ PI 2) (/ PI 2)) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (+ (/ PI 2) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (* (cbrt (+ (* (/ PI 2) (/ PI 2)) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (+ (/ PI 2) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) (cbrt (+ (* (/ PI 2) (/ PI 2)) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (+ (/ PI 2) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))))) (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))))) * [enter]simplify: Simplifying (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (311 enodes) * [exit]simplify: Simplified to (/ (- (/ (* PI PI) (/ 8 PI)) (pow (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))) 3)) (cbrt (+ (* (/ PI 2) (/ PI 2)) (* (+ (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))) (/ PI 2)) (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (* (cbrt (+ (* (/ PI 2) (/ PI 2)) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (+ (/ PI 2) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) (cbrt (+ (* (/ PI 2) (/ PI 2)) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (+ (/ PI 2) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))))) (/ (- (/ (* PI PI) (/ 8 PI)) (pow (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))) 3)) (cbrt (+ (* (/ PI 2) (/ PI 2)) (* (+ (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))) (/ PI 2)) (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))))))))) * * * * [misc]progress: [ 116 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (220 enodes) * * [misc]simplify: iters left: 2 (482 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (* (asin (/ (- 1 (* (* v v) 5)) (+ (* v v) -1))) (asin (/ (- 1 (* (* v v) 5)) (+ (* v v) -1)))) (* (/ PI 2) (+ (/ PI 2) (asin (/ (- 1 (* (* v v) 5)) (+ (* v v) -1)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt (+ (* (asin (/ (- 1 (* (* v v) 5)) (+ (* v v) -1))) (asin (/ (- 1 (* (* v v) 5)) (+ (* v v) -1)))) (* (/ PI 2) (+ (/ PI 2) (asin (/ (- 1 (* (* v v) 5)) (+ (* v v) -1)))))))) (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))))) * [enter]simplify: Simplifying (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (311 enodes) * [exit]simplify: Simplified to (/ (- (/ (* PI PI) (/ 8 PI)) (pow (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))) 3)) (sqrt (+ (* (/ PI 2) (/ PI 2)) (* (+ (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))) (/ PI 2)) (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (+ (* (asin (/ (- 1 (* (* v v) 5)) (+ (* v v) -1))) (asin (/ (- 1 (* (* v v) 5)) (+ (* v v) -1)))) (* (/ PI 2) (+ (/ PI 2) (asin (/ (- 1 (* (* v v) 5)) (+ (* v v) -1)))))))) (/ (- (/ (* PI PI) (/ 8 PI)) (pow (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))) 3)) (sqrt (+ (* (/ PI 2) (/ PI 2)) (* (+ (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))) (/ PI 2)) (asin (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1))))))))) * * * * [misc]progress: [ 117 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (v) (* 1 (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))))) * [enter]simplify: Simplifying (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (154 enodes) * * [misc]simplify: iters left: 3 (309 enodes) * [exit]simplify: Simplified to (/ (- (* (/ PI 8) (* PI PI)) (pow (asin (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1))) 3)) (+ (* (asin (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1))) (asin (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1)))) (* (/ PI 2) (+ (asin (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1))) (/ PI 2))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* 1 (/ (- (* (/ PI 8) (* PI PI)) (pow (asin (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1))) 3)) (+ (* (asin (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1))) (asin (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1)))) (* (/ PI 2) (+ (asin (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1))) (/ PI 2))))))) * * * * [misc]progress: [ 118 / 161 ] simplifiying candidate # * * * * [misc]progress: [ 119 / 161 ] simplifiying candidate # * * * * [misc]progress: [ 120 / 161 ] simplifiying candidate # * * * * [misc]progress: [ 121 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (220 enodes) * * [misc]simplify: iters left: 2 (484 enodes) * [exit]simplify: Simplified to (cbrt (+ (* (+ (asin (/ (+ (* v (* v -5)) 1) (+ -1 (* v v)))) (/ PI 2)) (/ PI 2)) (* (asin (/ (+ (* v (* v -5)) 1) (+ -1 (* v v)))) (asin (/ (+ (* v (* v -5)) 1) (+ -1 (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (* (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))) (cbrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))))) (cbrt (+ (* (+ (asin (/ (+ (* v (* v -5)) 1) (+ -1 (* v v)))) (/ PI 2)) (/ PI 2)) (* (asin (/ (+ (* v (* v -5)) 1) (+ -1 (* v v)))) (asin (/ (+ (* v (* v -5)) 1) (+ -1 (* v v))))))))) * * * * [misc]progress: [ 122 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (220 enodes) * * [misc]simplify: iters left: 2 (484 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (+ (asin (/ (+ (* v (* v -5)) 1) (+ -1 (* v v)))) (/ PI 2)) (/ PI 2)) (* (asin (/ (+ (* v (* v -5)) 1) (+ -1 (* v v)))) (asin (/ (+ (* v (* v -5)) 1) (+ -1 (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (sqrt (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) (sqrt (+ (* (+ (asin (/ (+ (* v (* v -5)) 1) (+ -1 (* v v)))) (/ PI 2)) (/ PI 2)) (* (asin (/ (+ (* v (* v -5)) 1) (+ -1 (* v v)))) (asin (/ (+ (* v (* v -5)) 1) (+ -1 (* v v))))))))) * * * * [misc]progress: [ 123 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * * [misc]simplify: iters left: 2 (480 enodes) * [exit]simplify: Simplified to (+ (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))) (* (+ (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (/ PI 2)) (/ PI 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) 1) (+ (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))) (* (+ (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (/ PI 2)) (/ PI 2))))) * * * * [misc]progress: [ 124 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) (cbrt (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ (* PI PI) (/ 8 PI)) (pow (asin (/ (+ (* (* v v) -5) 1) (+ -1 (* v v)))) 3))) (cbrt (- (/ (* PI PI) (/ 8 PI)) (pow (asin (/ (+ (* (* v v) -5) 1) (+ -1 (* v v)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (cbrt (- (/ (* PI PI) (/ 8 PI)) (pow (asin (/ (+ (* (* v v) -5) 1) (+ -1 (* v v)))) 3))) (cbrt (- (/ (* PI PI) (/ 8 PI)) (pow (asin (/ (+ (* (* v v) -5) 1) (+ -1 (* v v)))) 3)))) (/ (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))) (cbrt (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)))))) * * * * [misc]progress: [ 125 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (233 enodes) * [exit]simplify: Simplified to (sqrt (- (/ (* PI PI) (/ 8 PI)) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ -1 (* v v)))) 3))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (sqrt (- (/ (* PI PI) (/ 8 PI)) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ -1 (* v v)))) 3))) (/ (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))) (sqrt (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)))))) * * * * [misc]progress: [ 126 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * * [misc]simplify: iters left: 2 (480 enodes) * [exit]simplify: Simplified to (+ (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))) (* (+ (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (/ PI 2)) (/ PI 2))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (+ (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))) (* (+ (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (/ PI 2)) (/ PI 2))) (/ (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))) (- (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))) * * * * [misc]progress: [ 127 / 161 ] simplifiying candidate # * * * * [misc]progress: [ 128 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (sqrt (/ PI 2)) 3) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (460 enodes) * [exit]simplify: Simplified to (+ (* (asin (/ (- 1 (* (* v v) 5)) (- (* v v) 1))) (sqrt (asin (/ (- 1 (* (* v v) 5)) (- (* v v) 1))))) (* (/ PI 2) (sqrt (/ PI 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (+ (* (asin (/ (- 1 (* (* v v) 5)) (- (* v v) 1))) (sqrt (asin (/ (- 1 (* (* v v) 5)) (- (* v v) 1))))) (* (/ PI 2) (sqrt (/ PI 2)))) (/ (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))) (- (pow (sqrt (/ PI 2)) 3) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3))))) * * * * [misc]progress: [ 129 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (sqrt (/ PI 2)) 3) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (460 enodes) * [exit]simplify: Simplified to (+ (* (asin (/ (- 1 (* (* v v) 5)) (- (* v v) 1))) (sqrt (asin (/ (- 1 (* (* v v) 5)) (- (* v v) 1))))) (* (/ PI 2) (sqrt (/ PI 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (+ (* (asin (/ (- 1 (* (* v v) 5)) (- (* v v) 1))) (sqrt (asin (/ (- 1 (* (* v v) 5)) (- (* v v) 1))))) (* (/ PI 2) (sqrt (/ PI 2)))) (/ (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))) (- (pow (sqrt (/ PI 2)) 3) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3))))) * * * * [misc]progress: [ 130 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (sqrt (/ PI 2)) 3) (sqrt (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (459 enodes) * [exit]simplify: Simplified to (+ (sqrt (pow (asin (/ (- 1 (* (* v v) 5)) (- (* v v) 1))) 3)) (* (sqrt (/ PI 2)) (/ PI 2))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (+ (sqrt (pow (asin (/ (- 1 (* (* v v) 5)) (- (* v v) 1))) 3)) (* (sqrt (/ PI 2)) (/ PI 2))) (/ (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))) (- (pow (sqrt (/ PI 2)) 3) (sqrt (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)))))) * * * * [misc]progress: [ 131 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (sqrt (/ PI 2)) 3) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (460 enodes) * [exit]simplify: Simplified to (+ (* (asin (/ (- 1 (* (* v v) 5)) (- (* v v) 1))) (sqrt (asin (/ (- 1 (* (* v v) 5)) (- (* v v) 1))))) (* (/ PI 2) (sqrt (/ PI 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (+ (* (asin (/ (- 1 (* (* v v) 5)) (- (* v v) 1))) (sqrt (asin (/ (- 1 (* (* v v) 5)) (- (* v v) 1))))) (* (/ PI 2) (sqrt (/ PI 2)))) (/ (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))) (- (pow (sqrt (/ PI 2)) 3) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3))))) * * * * [misc]progress: [ 132 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (sqrt (/ PI 2)) 3) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (460 enodes) * [exit]simplify: Simplified to (+ (* (asin (/ (- 1 (* (* v v) 5)) (- (* v v) 1))) (sqrt (asin (/ (- 1 (* (* v v) 5)) (- (* v v) 1))))) (* (/ PI 2) (sqrt (/ PI 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (+ (* (asin (/ (- 1 (* (* v v) 5)) (- (* v v) 1))) (sqrt (asin (/ (- 1 (* (* v v) 5)) (- (* v v) 1))))) (* (/ PI 2) (sqrt (/ PI 2)))) (/ (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))) (- (pow (sqrt (/ PI 2)) 3) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3))))) * * * * [misc]progress: [ 133 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (sqrt (/ PI 2)) 3) (sqrt (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (459 enodes) * [exit]simplify: Simplified to (+ (sqrt (pow (asin (/ (- 1 (* (* v v) 5)) (- (* v v) 1))) 3)) (* (sqrt (/ PI 2)) (/ PI 2))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (+ (sqrt (pow (asin (/ (- 1 (* (* v v) 5)) (- (* v v) 1))) 3)) (* (sqrt (/ PI 2)) (/ PI 2))) (/ (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))) (- (pow (sqrt (/ PI 2)) 3) (sqrt (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)))))) * * * * [misc]progress: [ 134 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (pow (/ PI 2) 3)) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (+ (* (sqrt (asin (/ (+ 1 (* (* v -5) v)) (- (* v v) 1)))) (asin (/ (+ 1 (* (* v -5) v)) (- (* v v) 1)))) (sqrt (/ (* PI PI) (/ 8 PI)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (+ (* (sqrt (asin (/ (+ 1 (* (* v -5) v)) (- (* v v) 1)))) (asin (/ (+ 1 (* (* v -5) v)) (- (* v v) 1)))) (sqrt (/ (* PI PI) (/ 8 PI)))) (/ (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))) (- (sqrt (pow (/ PI 2) 3)) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3))))) * * * * [misc]progress: [ 135 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (pow (/ PI 2) 3)) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (+ (* (sqrt (asin (/ (+ 1 (* (* v -5) v)) (- (* v v) 1)))) (asin (/ (+ 1 (* (* v -5) v)) (- (* v v) 1)))) (sqrt (/ (* PI PI) (/ 8 PI)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (+ (* (sqrt (asin (/ (+ 1 (* (* v -5) v)) (- (* v v) 1)))) (asin (/ (+ 1 (* (* v -5) v)) (- (* v v) 1)))) (sqrt (/ (* PI PI) (/ 8 PI)))) (/ (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))) (- (sqrt (pow (/ PI 2) 3)) (pow (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3))))) * * * * [misc]progress: [ 136 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (pow (/ PI 2) 3)) (sqrt (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (225 enodes) * [exit]simplify: Simplified to (+ (sqrt (pow (asin (/ (+ 1 (* (* v -5) v)) (- (* v v) 1))) 3)) (sqrt (/ (* PI PI) (/ 8 PI)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (+ (sqrt (pow (asin (/ (+ 1 (* (* v -5) v)) (- (* v v) 1))) 3)) (sqrt (/ (* PI PI) (/ 8 PI)))) (/ (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))) (- (sqrt (pow (/ PI 2) 3)) (sqrt (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)))))) * * * * [misc]progress: [ 137 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (v) (/ 1 (/ (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))) (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))))) * * * * [misc]progress: [ 138 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (v) (/ 1 (/ (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))) (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))))) * * * * [misc]progress: [ 139 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (v) (/ 1 (/ (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))) (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))))) * * * * [misc]progress: [ 140 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (v) (/ 1 (/ (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))) (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))))) * * * * [misc]progress: [ 141 / 161 ] simplifiying candidate # * * * * [misc]progress: [ 142 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 2 2) (+ (* (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))) (- (* (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))) (* (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (* (- (* (* (/ PI 2) (asin (- (/ 1 (+ -1 (* v v))) (/ (* 5 (* v v)) (+ -1 (* v v)))))) (* (/ PI 2) (asin (- (/ 1 (+ -1 (* v v))) (/ (* 5 (* v v)) (+ -1 (* v v))))))) (* (pow (asin (- (/ 1 (+ -1 (* v v))) (/ (* 5 (* v v)) (+ -1 (* v v))))) 3) (- (/ PI 2) (asin (- (/ 1 (+ -1 (* v v))) (/ (* 5 (* v v)) (+ -1 (* v v)))))))) 4) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (+ (* (* PI PI) (+ (* (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))) (- (* (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))) (* (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) (* (* 2 2) (+ (pow (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3) (pow (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3))))) (* (- (* (* (/ PI 2) (asin (- (/ 1 (+ -1 (* v v))) (/ (* 5 (* v v)) (+ -1 (* v v)))))) (* (/ PI 2) (asin (- (/ 1 (+ -1 (* v v))) (/ (* 5 (* v v)) (+ -1 (* v v))))))) (* (pow (asin (- (/ 1 (+ -1 (* v v))) (/ (* 5 (* v v)) (+ -1 (* v v))))) 3) (- (/ PI 2) (asin (- (/ 1 (+ -1 (* v v))) (/ (* 5 (* v v)) (+ -1 (* v v)))))))) 4))) * * * * [misc]progress: [ 143 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 2 2) (- (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (311 enodes) * [exit]simplify: Simplified to (* (- (asin (- (/ 1 (+ (* v v) -1)) (/ (* 5 (* v v)) (+ (* v v) -1)))) (/ PI 2)) (* (asin (- (/ 1 (+ (* v v) -1)) (/ (* 5 (* v v)) (+ (* v v) -1)))) 4)) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (+ (* (* PI PI) (- (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))) (* (* 2 2) (- (* (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))) (* (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))))) (* (- (asin (- (/ 1 (+ (* v v) -1)) (/ (* 5 (* v v)) (+ (* v v) -1)))) (/ PI 2)) (* (asin (- (/ 1 (+ (* v v) -1)) (/ (* 5 (* v v)) (+ (* v v) -1)))) 4)))) * * * * [misc]progress: [ 144 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (+ (* (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))) (- (* (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))) (* (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * [exit]simplify: Simplified to (* 2 (- (* (* (asin (/ (+ (* (* v v) -5) 1) (+ -1 (* v v)))) (/ PI 2)) (* (asin (/ (+ (* (* v v) -5) 1) (+ -1 (* v v)))) (/ PI 2))) (* (pow (asin (/ (+ (* (* v v) -5) 1) (+ -1 (* v v)))) 3) (- (/ PI 2) (asin (/ (+ (* (* v v) -5) 1) (+ -1 (* v v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (+ (* (* (/ PI 2) PI) (+ (* (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))) (- (* (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))) (* (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) (* 2 (+ (pow (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3) (pow (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3))))) (* 2 (- (* (* (asin (/ (+ (* (* v v) -5) 1) (+ -1 (* v v)))) (/ PI 2)) (* (asin (/ (+ (* (* v v) -5) 1) (+ -1 (* v v)))) (/ PI 2))) (* (pow (asin (/ (+ (* (* v v) -5) 1) (+ -1 (* v v)))) 3) (- (/ PI 2) (asin (/ (+ (* (* v v) -5) 1) (+ -1 (* v v)))))))))) * * * * [misc]progress: [ 145 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (- (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (252 enodes) * [exit]simplify: Simplified to (* (- (asin (- (/ 1 (+ (* v v) -1)) (/ (* (* v v) 5) (+ (* v v) -1)))) (/ PI 2)) (* (asin (- (/ 1 (+ (* v v) -1)) (/ (* (* v v) 5) (+ (* v v) -1)))) 2)) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (+ (* (* (/ PI 2) PI) (- (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))) (* 2 (- (* (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))) (* (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))))) (* (- (asin (- (/ 1 (+ (* v v) -1)) (/ (* (* v v) 5) (+ (* v v) -1)))) (/ PI 2)) (* (asin (- (/ 1 (+ (* v v) -1)) (/ (* (* v v) 5) (+ (* v v) -1)))) 2)))) * * * * [misc]progress: [ 146 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (+ (* (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))) (- (* (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))) (* (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * [exit]simplify: Simplified to (* 2 (- (* (* (asin (/ (+ (* (* v v) -5) 1) (+ -1 (* v v)))) (/ PI 2)) (* (asin (/ (+ (* (* v v) -5) 1) (+ -1 (* v v)))) (/ PI 2))) (* (pow (asin (/ (+ (* (* v v) -5) 1) (+ -1 (* v v)))) 3) (- (/ PI 2) (asin (/ (+ (* (* v v) -5) 1) (+ -1 (* v v)))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (+ (* (* PI (/ PI 2)) (+ (* (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))) (- (* (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))) (* (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) (* 2 (+ (pow (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3) (pow (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) 3))))) (* 2 (- (* (* (asin (/ (+ (* (* v v) -5) 1) (+ -1 (* v v)))) (/ PI 2)) (* (asin (/ (+ (* (* v v) -5) 1) (+ -1 (* v v)))) (/ PI 2))) (* (pow (asin (/ (+ (* (* v v) -5) 1) (+ -1 (* v v)))) 3) (- (/ PI 2) (asin (/ (+ (* (* v v) -5) 1) (+ -1 (* v v)))))))))) * * * * [misc]progress: [ 147 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (- (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (252 enodes) * [exit]simplify: Simplified to (* (- (asin (- (/ 1 (+ (* v v) -1)) (/ (* (* v v) 5) (+ (* v v) -1)))) (/ PI 2)) (* (asin (- (/ 1 (+ (* v v) -1)) (/ (* (* v v) 5) (+ (* v v) -1)))) 2)) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (+ (* (* PI (/ PI 2)) (- (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))) (* 2 (- (* (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))) (* (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))))) (* (- (asin (- (/ 1 (+ (* v v) -1)) (/ (* (* v v) 5) (+ (* v v) -1)))) (/ PI 2)) (* (asin (- (/ 1 (+ (* v v) -1)) (/ (* (* v v) 5) (+ (* v v) -1)))) 2)))) * * * * [misc]progress: [ 148 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (/ PI 2) (/ PI 2)) (* (/ PI 2) (/ PI 2))) (- (* (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))) (* (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (296 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (asin (/ (+ 1 (* v (* -5 v))) (+ -1 (* v v)))) (/ PI 2)) (asin (/ (+ 1 (* v (* -5 v))) (+ -1 (* v v))))) (* (+ (asin (/ (+ 1 (* v (* -5 v))) (+ -1 (* v v)))) (/ PI 2)) (asin (/ (+ 1 (* v (* -5 v))) (+ -1 (* v v)))))) (+ (* (* (* (- (/ PI 2)) (/ PI 2)) (asin (/ (+ 1 (* v (* -5 v))) (+ -1 (* v v))))) (+ (asin (/ (+ 1 (* v (* -5 v))) (+ -1 (* v v)))) (/ PI 2))) (pow (/ PI 2) 4))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (+ (pow (* (/ PI 2) (/ PI 2)) 3) (pow (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))) 3))) (+ (* (* (+ (asin (/ (+ 1 (* v (* -5 v))) (+ -1 (* v v)))) (/ PI 2)) (asin (/ (+ 1 (* v (* -5 v))) (+ -1 (* v v))))) (* (+ (asin (/ (+ 1 (* v (* -5 v))) (+ -1 (* v v)))) (/ PI 2)) (asin (/ (+ 1 (* v (* -5 v))) (+ -1 (* v v)))))) (+ (* (* (* (- (/ PI 2)) (/ PI 2)) (asin (/ (+ 1 (* v (* -5 v))) (+ -1 (* v v))))) (+ (asin (/ (+ 1 (* v (* -5 v))) (+ -1 (* v v)))) (/ PI 2))) (pow (/ PI 2) 4))))) * * * * [misc]progress: [ 149 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (254 enodes) * [exit]simplify: Simplified to (- (* (/ PI 2) (- (/ PI 2) (asin (/ (+ 1 (* (* v -5) v)) (+ -1 (* v v)))))) (* (asin (/ (+ 1 (* (* v -5) v)) (+ -1 (* v v)))) (asin (/ (+ 1 (* (* v -5) v)) (+ -1 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (- (* (* (/ PI 2) (/ PI 2)) (* (/ PI 2) (/ PI 2))) (* (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) (- (* (/ PI 2) (- (/ PI 2) (asin (/ (+ 1 (* (* v -5) v)) (+ -1 (* v v)))))) (* (asin (/ (+ 1 (* (* v -5) v)) (+ -1 (* v v)))) (asin (/ (+ 1 (* (* v -5) v)) (+ -1 (* v v)))))))) * * * * [misc]progress: [ 150 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (pow (/ PI 2) 3) 3) (pow (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3) 3)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (427 enodes) * [exit]simplify: Simplified to (- (pow (* (/ PI 8) (* PI PI)) 3) (pow (pow (asin (/ (+ (* v (* -5 v)) 1) (- (* v v) 1))) 3) 3)) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (- (pow (* (/ PI 8) (* PI PI)) 3) (pow (pow (asin (/ (+ (* v (* -5 v)) 1) (- (* v v) 1))) 3) 3)) (* (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))) (+ (* (pow (/ PI 2) 3) (pow (/ PI 2) 3)) (+ (* (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (* (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))))))) * * * * [misc]progress: [ 151 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (pow (/ PI 2) 3) (pow (/ PI 2) 3)) (* (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (334 enodes) * [exit]simplify: Simplified to (- (* (* (/ PI 8) (* PI PI)) (* (/ PI 8) (* PI PI))) (* (pow (asin (- (/ 1 (- (* v v) 1)) (/ (* (* v v) 5) (- (* v v) 1)))) 5) (asin (- (/ 1 (- (* v v) 1)) (/ (* (* v v) 5) (- (* v v) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (- (* (* (/ PI 8) (* PI PI)) (* (/ PI 8) (* PI PI))) (* (pow (asin (- (/ 1 (- (* v v) 1)) (/ (* (* v v) 5) (- (* v v) 1)))) 5) (asin (- (/ 1 (- (* v v) 1)) (/ (* (* v v) 5) (- (* v v) 1)))))) (* (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))) (+ (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))))) * * * * [misc]progress: [ 152 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) PI)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (292 enodes) * [exit]simplify: Simplified to (* (asin (/ (- 1 (* 5 (* v v))) (+ -1 (* v v)))) (+ (asin (/ (- 1 (* 5 (* v v))) (+ -1 (* v v)))) (* PI 1/2))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (+ (* (/ PI 2) (/ PI 2)) (* (asin (/ (- 1 (* 5 (* v v))) (+ -1 (* v v)))) (+ (asin (/ (- 1 (* 5 (* v v))) (+ -1 (* v v)))) (* PI 1/2)))))) * * * * [misc]progress: [ 153 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (* 1/2 (* PI (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * [exit]simplify: Simplified to (* (asin (/ (+ (* (* -5 v) v) 1) (- (* v v) 1))) (+ (* 1/2 PI) (asin (/ (+ (* (* -5 v) v) 1) (- (* v v) 1))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (+ (* (/ PI 2) (/ PI 2)) (* (asin (/ (+ (* (* -5 v) v) 1) (- (* v v) 1))) (+ (* 1/2 PI) (asin (/ (+ (* (* -5 v) v) 1) (- (* v v) 1)))))))) * * * * [misc]progress: [ 154 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (* 1/2 (* PI (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * [exit]simplify: Simplified to (* (asin (/ (+ (* (* -5 v) v) 1) (- (* v v) 1))) (+ (* 1/2 PI) (asin (/ (+ (* (* -5 v) v) 1) (- (* v v) 1))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (/ (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (+ (* (/ PI 2) (/ PI 2)) (* (asin (/ (+ (* (* -5 v) v) 1) (- (* v v) 1))) (+ (* 1/2 PI) (asin (/ (+ (* (* -5 v) v) 1) (- (* v v) 1)))))))) * * * * [misc]progress: [ 155 / 161 ] simplifiying candidate # * * * * [misc]progress: [ 156 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * [exit]simplify: Simplified to (pow (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) 3) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (- (pow (/ PI 2) 3) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * * * [misc]progress: [ 157 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * [exit]simplify: Simplified to (pow (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) 3) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (- (pow (/ PI 2) 3) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * * * [misc]progress: [ 158 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * [exit]simplify: Simplified to (pow (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) 3) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (- (pow (/ PI 2) 3) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))) * * * * [misc]progress: [ 159 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* 1/8 (pow PI 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (* 1/2 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) PI)) (* 1/4 (pow PI 2))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * * [misc]simplify: iters left: 2 (445 enodes) * [exit]simplify: Simplified to (/ (- (* (* 1/8 PI) (* PI PI)) (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 3)) (+ (* PI (* 1/4 PI)) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (* PI 1/2))))) * [misc]simplify: Simplified (2) to (λ (v) (/ (- (* (* 1/8 PI) (* PI PI)) (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 3)) (+ (* PI (* 1/4 PI)) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (* PI 1/2)))))) * * * * [misc]progress: [ 160 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* 1/8 (pow PI 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow PI 2)) (+ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (* 1/2 (* PI (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (129 enodes) * * [misc]simplify: iters left: 3 (220 enodes) * * [misc]simplify: iters left: 2 (444 enodes) * [exit]simplify: Simplified to (/ (- (* (* 1/8 PI) (* PI PI)) (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 3)) (+ (* (* PI PI) 1/4) (* (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (* 1/2 PI)) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1)))))) * [misc]simplify: Simplified (2) to (λ (v) (/ (- (* (* 1/8 PI) (* PI PI)) (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 3)) (+ (* (* PI PI) 1/4) (* (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (* 1/2 PI)) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) * * * * [misc]progress: [ 161 / 161 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* 1/8 (pow PI 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow PI 2)) (+ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (* 1/2 (* PI (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (129 enodes) * * [misc]simplify: iters left: 3 (220 enodes) * * [misc]simplify: iters left: 2 (444 enodes) * [exit]simplify: Simplified to (/ (- (* (* 1/8 PI) (* PI PI)) (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 3)) (+ (* (* PI PI) 1/4) (* (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (* 1/2 PI)) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1)))))) * [misc]simplify: Simplified (2) to (λ (v) (/ (- (* (* 1/8 PI) (* PI PI)) (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 3)) (+ (* (* PI PI) 1/4) (* (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (* 1/2 PI)) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2 1 2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 1 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 2 1 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 1 2 2) * [misc]approximate: Taking taylor expansion of (+ (/ PI 2) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ PI 2) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) in v * [misc]taylor: Taking taylor expansion of (/ PI 2) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) in v * [misc]backup-simplify: Simplify (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) into (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) * [misc]taylor: Taking taylor expansion of (+ (/ PI 2) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) in v * [misc]taylor: Taking taylor expansion of (/ PI 2) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) in v * [misc]backup-simplify: Simplify (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) into (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) into (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 PI)) into (+ (* 1/2 PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) into (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 PI)) * [misc]approximate: Taking taylor expansion of (+ (/ PI 2) (asin (/ (+ 1 (* (* (/ 1 v) (/ 1 v)) -5)) (+ -1 (* (/ 1 v) (/ 1 v)))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ PI 2) (asin (/ (+ 1 (* (* (/ 1 v) (/ 1 v)) -5)) (+ -1 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (/ PI 2) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (asin (/ (+ 1 (* (* (/ 1 v) (/ 1 v)) -5)) (+ -1 (* (/ 1 v) (/ 1 v))))) in v * [misc]backup-simplify: Simplify (asin (/ (+ 1 (* (* (/ 1 v) (/ 1 v)) -5)) (+ -1 (* (/ 1 v) (/ 1 v))))) into (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [misc]taylor: Taking taylor expansion of (+ (/ PI 2) (asin (/ (+ 1 (* (* (/ 1 v) (/ 1 v)) -5)) (+ -1 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (/ PI 2) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (asin (/ (+ 1 (* (* (/ 1 v) (/ 1 v)) -5)) (+ -1 (* (/ 1 v) (/ 1 v))))) in v * [misc]backup-simplify: Simplify (asin (/ (+ 1 (* (* (/ 1 v) (/ 1 v)) -5)) (+ -1 (* (/ 1 v) (/ 1 v))))) into (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))) into (+ (* 1/2 PI) (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))) into (+ (* 1/2 PI) (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (asin (/ (- 1 (* 5 (/ 1 (pow (/ 1 v) 2)))) (- (/ 1 (pow (/ 1 v) 2)) 1)))) into (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 PI)) * [misc]approximate: Taking taylor expansion of (+ (/ PI 2) (asin (/ (+ 1 (* (* (/ 1 (- v)) (/ 1 (- v))) -5)) (+ -1 (* (/ 1 (- v)) (/ 1 (- v))))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ PI 2) (asin (/ (+ 1 (* (* (/ 1 (- v)) (/ 1 (- v))) -5)) (+ -1 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (/ PI 2) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (asin (/ (+ 1 (* (* (/ 1 (- v)) (/ 1 (- v))) -5)) (+ -1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]backup-simplify: Simplify (asin (/ (+ 1 (* (* (/ 1 (- v)) (/ 1 (- v))) -5)) (+ -1 (* (/ 1 (- v)) (/ 1 (- v)))))) into (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [misc]taylor: Taking taylor expansion of (+ (/ PI 2) (asin (/ (+ 1 (* (* (/ 1 (- v)) (/ 1 (- v))) -5)) (+ -1 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (/ PI 2) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (asin (/ (+ 1 (* (* (/ 1 (- v)) (/ 1 (- v))) -5)) (+ -1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]backup-simplify: Simplify (asin (/ (+ 1 (* (* (/ 1 (- v)) (/ 1 (- v))) -5)) (+ -1 (* (/ 1 (- v)) (/ 1 (- v)))))) into (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))) into (+ (* 1/2 PI) (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))) into (+ (* 1/2 PI) (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (asin (/ (- 1 (* 5 (/ 1 (pow (/ 1 (- v)) 2)))) (- (/ 1 (pow (/ 1 (- v)) 2)) 1)))) into (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 PI)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 1 1 2) * [misc]approximate: Taking taylor expansion of (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2)) in v * [misc]taylor: Taking taylor expansion of (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) in v * [misc]backup-simplify: Simplify (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) into (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) * [misc]taylor: Taking taylor expansion of (/ PI 2) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2)) in v * [misc]taylor: Taking taylor expansion of (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) in v * [misc]backup-simplify: Simplify (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) into (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) * [misc]taylor: Taking taylor expansion of (/ PI 2) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 PI)) into (+ (* 1/2 PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) into (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 PI)) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 PI)) into (+ (* 1/2 PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) * [misc]approximate: Taking taylor expansion of (+ (asin (/ (+ (* (* (/ 1 v) (/ 1 v)) -5) 1) (+ (* (/ 1 v) (/ 1 v)) -1))) (/ PI 2)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (+ (asin (/ (+ (* (* (/ 1 v) (/ 1 v)) -5) 1) (+ (* (/ 1 v) (/ 1 v)) -1))) (/ PI 2)) in v * [misc]taylor: Taking taylor expansion of (asin (/ (+ (* (* (/ 1 v) (/ 1 v)) -5) 1) (+ (* (/ 1 v) (/ 1 v)) -1))) in v * [misc]backup-simplify: Simplify (asin (/ (+ (* (* (/ 1 v) (/ 1 v)) -5) 1) (+ (* (/ 1 v) (/ 1 v)) -1))) into (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [misc]taylor: Taking taylor expansion of (/ PI 2) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ (asin (/ (+ (* (* (/ 1 v) (/ 1 v)) -5) 1) (+ (* (/ 1 v) (/ 1 v)) -1))) (/ PI 2)) in v * [misc]taylor: Taking taylor expansion of (asin (/ (+ (* (* (/ 1 v) (/ 1 v)) -5) 1) (+ (* (/ 1 v) (/ 1 v)) -1))) in v * [misc]backup-simplify: Simplify (asin (/ (+ (* (* (/ 1 v) (/ 1 v)) -5) 1) (+ (* (/ 1 v) (/ 1 v)) -1))) into (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [misc]taylor: Taking taylor expansion of (/ PI 2) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) (* 1/2 PI)) into (+ (* 1/2 PI) (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))) into (+ (* 1/2 PI) (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (asin (/ (- 1 (* 5 (/ 1 (pow (/ 1 v) 2)))) (- (/ 1 (pow (/ 1 v) 2)) 1)))) into (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 PI)) * [misc]approximate: Taking taylor expansion of (+ (asin (/ (+ (* (* (/ 1 (- v)) (/ 1 (- v))) -5) 1) (+ (* (/ 1 (- v)) (/ 1 (- v))) -1))) (/ PI 2)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (+ (asin (/ (+ (* (* (/ 1 (- v)) (/ 1 (- v))) -5) 1) (+ (* (/ 1 (- v)) (/ 1 (- v))) -1))) (/ PI 2)) in v * [misc]taylor: Taking taylor expansion of (asin (/ (+ (* (* (/ 1 (- v)) (/ 1 (- v))) -5) 1) (+ (* (/ 1 (- v)) (/ 1 (- v))) -1))) in v * [misc]backup-simplify: Simplify (asin (/ (+ (* (* (/ 1 (- v)) (/ 1 (- v))) -5) 1) (+ (* (/ 1 (- v)) (/ 1 (- v))) -1))) into (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [misc]taylor: Taking taylor expansion of (/ PI 2) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ (asin (/ (+ (* (* (/ 1 (- v)) (/ 1 (- v))) -5) 1) (+ (* (/ 1 (- v)) (/ 1 (- v))) -1))) (/ PI 2)) in v * [misc]taylor: Taking taylor expansion of (asin (/ (+ (* (* (/ 1 (- v)) (/ 1 (- v))) -5) 1) (+ (* (/ 1 (- v)) (/ 1 (- v))) -1))) in v * [misc]backup-simplify: Simplify (asin (/ (+ (* (* (/ 1 (- v)) (/ 1 (- v))) -5) 1) (+ (* (/ 1 (- v)) (/ 1 (- v))) -1))) into (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [misc]taylor: Taking taylor expansion of (/ PI 2) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) (* 1/2 PI)) into (+ (* 1/2 PI) (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))) into (+ (* 1/2 PI) (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (asin (/ (- 1 (* 5 (/ 1 (pow (/ 1 (- v)) 2)))) (- (/ 1 (pow (/ 1 (- v)) 2)) 1)))) into (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 PI)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 2 1 1 2) * [misc]approximate: Taking taylor expansion of (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2)) in v * [misc]taylor: Taking taylor expansion of (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) in v * [misc]backup-simplify: Simplify (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) into (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) * [misc]taylor: Taking taylor expansion of (/ PI 2) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2)) in v * [misc]taylor: Taking taylor expansion of (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) in v * [misc]backup-simplify: Simplify (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) into (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) * [misc]taylor: Taking taylor expansion of (/ PI 2) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 PI)) into (+ (* 1/2 PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) into (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 PI)) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 PI)) into (+ (* 1/2 PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) * [misc]approximate: Taking taylor expansion of (+ (asin (/ (+ (* (* (/ 1 v) (/ 1 v)) -5) 1) (+ (* (/ 1 v) (/ 1 v)) -1))) (/ PI 2)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (+ (asin (/ (+ (* (* (/ 1 v) (/ 1 v)) -5) 1) (+ (* (/ 1 v) (/ 1 v)) -1))) (/ PI 2)) in v * [misc]taylor: Taking taylor expansion of (asin (/ (+ (* (* (/ 1 v) (/ 1 v)) -5) 1) (+ (* (/ 1 v) (/ 1 v)) -1))) in v * [misc]backup-simplify: Simplify (asin (/ (+ (* (* (/ 1 v) (/ 1 v)) -5) 1) (+ (* (/ 1 v) (/ 1 v)) -1))) into (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [misc]taylor: Taking taylor expansion of (/ PI 2) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ (asin (/ (+ (* (* (/ 1 v) (/ 1 v)) -5) 1) (+ (* (/ 1 v) (/ 1 v)) -1))) (/ PI 2)) in v * [misc]taylor: Taking taylor expansion of (asin (/ (+ (* (* (/ 1 v) (/ 1 v)) -5) 1) (+ (* (/ 1 v) (/ 1 v)) -1))) in v * [misc]backup-simplify: Simplify (asin (/ (+ (* (* (/ 1 v) (/ 1 v)) -5) 1) (+ (* (/ 1 v) (/ 1 v)) -1))) into (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [misc]taylor: Taking taylor expansion of (/ PI 2) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) (* 1/2 PI)) into (+ (* 1/2 PI) (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))) into (+ (* 1/2 PI) (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (asin (/ (- 1 (* 5 (/ 1 (pow (/ 1 v) 2)))) (- (/ 1 (pow (/ 1 v) 2)) 1)))) into (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 PI)) * [misc]approximate: Taking taylor expansion of (+ (asin (/ (+ (* (* (/ 1 (- v)) (/ 1 (- v))) -5) 1) (+ (* (/ 1 (- v)) (/ 1 (- v))) -1))) (/ PI 2)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (+ (asin (/ (+ (* (* (/ 1 (- v)) (/ 1 (- v))) -5) 1) (+ (* (/ 1 (- v)) (/ 1 (- v))) -1))) (/ PI 2)) in v * [misc]taylor: Taking taylor expansion of (asin (/ (+ (* (* (/ 1 (- v)) (/ 1 (- v))) -5) 1) (+ (* (/ 1 (- v)) (/ 1 (- v))) -1))) in v * [misc]backup-simplify: Simplify (asin (/ (+ (* (* (/ 1 (- v)) (/ 1 (- v))) -5) 1) (+ (* (/ 1 (- v)) (/ 1 (- v))) -1))) into (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [misc]taylor: Taking taylor expansion of (/ PI 2) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ (asin (/ (+ (* (* (/ 1 (- v)) (/ 1 (- v))) -5) 1) (+ (* (/ 1 (- v)) (/ 1 (- v))) -1))) (/ PI 2)) in v * [misc]taylor: Taking taylor expansion of (asin (/ (+ (* (* (/ 1 (- v)) (/ 1 (- v))) -5) 1) (+ (* (/ 1 (- v)) (/ 1 (- v))) -1))) in v * [misc]backup-simplify: Simplify (asin (/ (+ (* (* (/ 1 (- v)) (/ 1 (- v))) -5) 1) (+ (* (/ 1 (- v)) (/ 1 (- v))) -1))) into (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [misc]taylor: Taking taylor expansion of (/ PI 2) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) (* 1/2 PI)) into (+ (* 1/2 PI) (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))) into (+ (* 1/2 PI) (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (asin (/ (- 1 (* 5 (/ 1 (pow (/ 1 (- v)) 2)))) (- (/ 1 (pow (/ 1 (- v)) 2)) 1)))) into (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 PI)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 1 1 2) * [misc]approximate: Taking taylor expansion of (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2)) in v * [misc]taylor: Taking taylor expansion of (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) in v * [misc]backup-simplify: Simplify (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) into (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) * [misc]taylor: Taking taylor expansion of (/ PI 2) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2)) in v * [misc]taylor: Taking taylor expansion of (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) in v * [misc]backup-simplify: Simplify (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) into (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) * [misc]taylor: Taking taylor expansion of (/ PI 2) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 PI)) into (+ (* 1/2 PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) into (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 PI)) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 PI)) into (+ (* 1/2 PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) * [misc]approximate: Taking taylor expansion of (+ (asin (/ (+ (* (* (/ 1 v) (/ 1 v)) -5) 1) (+ (* (/ 1 v) (/ 1 v)) -1))) (/ PI 2)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (+ (asin (/ (+ (* (* (/ 1 v) (/ 1 v)) -5) 1) (+ (* (/ 1 v) (/ 1 v)) -1))) (/ PI 2)) in v * [misc]taylor: Taking taylor expansion of (asin (/ (+ (* (* (/ 1 v) (/ 1 v)) -5) 1) (+ (* (/ 1 v) (/ 1 v)) -1))) in v * [misc]backup-simplify: Simplify (asin (/ (+ (* (* (/ 1 v) (/ 1 v)) -5) 1) (+ (* (/ 1 v) (/ 1 v)) -1))) into (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [misc]taylor: Taking taylor expansion of (/ PI 2) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ (asin (/ (+ (* (* (/ 1 v) (/ 1 v)) -5) 1) (+ (* (/ 1 v) (/ 1 v)) -1))) (/ PI 2)) in v * [misc]taylor: Taking taylor expansion of (asin (/ (+ (* (* (/ 1 v) (/ 1 v)) -5) 1) (+ (* (/ 1 v) (/ 1 v)) -1))) in v * [misc]backup-simplify: Simplify (asin (/ (+ (* (* (/ 1 v) (/ 1 v)) -5) 1) (+ (* (/ 1 v) (/ 1 v)) -1))) into (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [misc]taylor: Taking taylor expansion of (/ PI 2) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) (* 1/2 PI)) into (+ (* 1/2 PI) (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))) into (+ (* 1/2 PI) (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (asin (/ (- 1 (* 5 (/ 1 (pow (/ 1 v) 2)))) (- (/ 1 (pow (/ 1 v) 2)) 1)))) into (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 PI)) * [misc]approximate: Taking taylor expansion of (+ (asin (/ (+ (* (* (/ 1 (- v)) (/ 1 (- v))) -5) 1) (+ (* (/ 1 (- v)) (/ 1 (- v))) -1))) (/ PI 2)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (+ (asin (/ (+ (* (* (/ 1 (- v)) (/ 1 (- v))) -5) 1) (+ (* (/ 1 (- v)) (/ 1 (- v))) -1))) (/ PI 2)) in v * [misc]taylor: Taking taylor expansion of (asin (/ (+ (* (* (/ 1 (- v)) (/ 1 (- v))) -5) 1) (+ (* (/ 1 (- v)) (/ 1 (- v))) -1))) in v * [misc]backup-simplify: Simplify (asin (/ (+ (* (* (/ 1 (- v)) (/ 1 (- v))) -5) 1) (+ (* (/ 1 (- v)) (/ 1 (- v))) -1))) into (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [misc]taylor: Taking taylor expansion of (/ PI 2) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ (asin (/ (+ (* (* (/ 1 (- v)) (/ 1 (- v))) -5) 1) (+ (* (/ 1 (- v)) (/ 1 (- v))) -1))) (/ PI 2)) in v * [misc]taylor: Taking taylor expansion of (asin (/ (+ (* (* (/ 1 (- v)) (/ 1 (- v))) -5) 1) (+ (* (/ 1 (- v)) (/ 1 (- v))) -1))) in v * [misc]backup-simplify: Simplify (asin (/ (+ (* (* (/ 1 (- v)) (/ 1 (- v))) -5) 1) (+ (* (/ 1 (- v)) (/ 1 (- v))) -1))) into (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) * [misc]taylor: Taking taylor expansion of (/ PI 2) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1))) (* 1/2 PI)) into (+ (* 1/2 PI) (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))) into (+ (* 1/2 PI) (asin (/ (- 1 (* 5 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1)))) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (asin (/ (- 1 (* 5 (/ 1 (pow (/ 1 (- v)) 2)))) (- (/ 1 (pow (/ 1 (- v)) 2)) 1)))) into (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 PI)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (/ PI 2)) (exp (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (exp (+ (asin (/ (+ (* (* -5 v) v) 1) (+ -1 (* v v)))) (/ PI 2))) * [misc]simplify: Simplified (2 2 2 1 2 2 1) to (λ (v) (* (/ (/ (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))) (cbrt (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) (cbrt (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) (/ (- (/ PI 2) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (cbrt (+ (* (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (* (/ PI 2) (log (exp (+ (asin (/ (+ (* (* -5 v) v) 1) (+ -1 (* v v)))) (/ PI 2)))))))))) * * * * [misc]progress: [ 2 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ PI 2) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (+ (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (/ PI 2)) * [misc]simplify: Simplified (2 2 2 1 2 2 2) to (λ (v) (* (/ (/ (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))) (cbrt (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) (cbrt (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) (/ (- (/ PI 2) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (cbrt (+ (* (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (* (/ PI 2) (* 1 (+ (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (/ PI 2))))))))) * * * * [misc]progress: [ 12 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (acos (/ (+ 1 (* (* v v) -5)) (+ -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 (29 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) * [misc]simplify: Simplified (2 2 2 1 2 2 2) to (λ (v) (* (/ (/ (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))) (cbrt (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) (cbrt (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) (/ (- (/ PI 2) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (cbrt (+ (* (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (* (/ PI 2) (- (+ (/ PI 2) (/ PI 2)) (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))))))) * * * * [misc]progress: [ 13 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1)))) (exp (/ PI 2))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (exp (+ (/ PI 2) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))))) * [misc]simplify: Simplified (2 1 2 1 1 2 1) to (λ (v) (* (/ (/ (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))) (cbrt (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) (cbrt (+ (* (/ PI 2) (log (exp (+ (/ PI 2) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))))))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) (/ (- (/ PI 2) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (cbrt (+ (* (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (* (/ PI 2) (+ (/ PI 2) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))))))))) * * * * [misc]progress: [ 15 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (+ (/ PI 2) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))) * [misc]simplify: Simplified (2 1 2 1 1 2 2) to (λ (v) (* (/ (/ (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))) (cbrt (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) (cbrt (+ (* (/ PI 2) (* 1 (+ (/ PI 2) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) (/ (- (/ PI 2) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (cbrt (+ (* (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (* (/ PI 2) (+ (/ PI 2) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))))))))) * * * * [misc]progress: [ 25 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 2) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI 2) * [misc]simplify: Simplified (2 1 2 1 1 2 1) to (λ (v) (* (/ (/ (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))) (cbrt (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) (cbrt (+ (* (/ PI 2) (- (/ PI 2) (- (acos (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2)))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) (/ (- (/ PI 2) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (cbrt (+ (* (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (* (/ PI 2) (+ (/ PI 2) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))))))))) * * * * [misc]progress: [ 26 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1)))) (exp (/ PI 2))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (exp (+ (/ PI 2) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))))) * [misc]simplify: Simplified (2 1 1 2 1 1 2 1) to (λ (v) (* (/ (/ (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))) (cbrt (+ (* (/ PI 2) (log (exp (+ (/ PI 2) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))))))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) (cbrt (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) (/ (- (/ PI 2) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (cbrt (+ (* (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (* (/ PI 2) (+ (/ PI 2) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))))))))) * * * * [misc]progress: [ 28 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (+ (/ PI 2) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))) * [misc]simplify: Simplified (2 1 1 2 1 1 2 2) to (λ (v) (* (/ (/ (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))) (cbrt (+ (* (/ PI 2) (* 1 (+ (/ PI 2) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) (cbrt (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) (/ (- (/ PI 2) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (cbrt (+ (* (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (* (/ PI 2) (+ (/ PI 2) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))))))))) * * * * [misc]progress: [ 38 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 2) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI 2) * [misc]simplify: Simplified (2 1 1 2 1 1 2 1) to (λ (v) (* (/ (/ (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))) (cbrt (+ (* (/ PI 2) (- (/ PI 2) (- (acos (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2)))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) (cbrt (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) (/ (- (/ PI 2) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (cbrt (+ (* (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (* (/ PI 2) (+ (/ PI 2) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))))))))) * * * * [misc]progress: [ 39 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1)))) (exp (/ PI 2))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (exp (+ (/ PI 2) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))))) * [misc]simplify: Simplified (2 1 1 1 1 2 1) to (λ (v) (* (/ (/ (+ (* (/ PI 2) (log (exp (+ (/ PI 2) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))))))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))) (cbrt (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) (cbrt (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) (/ (- (/ PI 2) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (cbrt (+ (* (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (* (/ PI 2) (+ (/ PI 2) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))))))))) * * * * [misc]progress: [ 41 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (+ (/ PI 2) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))) * [misc]simplify: Simplified (2 1 1 1 1 2 2) to (λ (v) (* (/ (/ (+ (* (/ PI 2) (* 1 (+ (/ PI 2) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))) (cbrt (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) (cbrt (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) (/ (- (/ PI 2) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (cbrt (+ (* (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (* (/ PI 2) (+ (/ PI 2) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))))))))) * * * * [misc]progress: [ 51 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 2) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI 2) * [misc]simplify: Simplified (2 1 1 1 1 2 1) to (λ (v) (* (/ (/ (+ (* (/ PI 2) (- (/ PI 2) (- (acos (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2)))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))) (cbrt (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) (cbrt (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) (/ (- (/ PI 2) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (cbrt (+ (* (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (* (/ PI 2) (+ (/ PI 2) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))))))))) * * * * [misc]progress: [ 52 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 PI)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (258 enodes) * [exit]simplify: Simplified to (+ (* 1/2 PI) (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1)))) * [misc]simplify: Simplified (2 2 2 1 2 2) to (λ (v) (* (/ (/ (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))) (cbrt (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) (cbrt (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) (/ (- (/ PI 2) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (cbrt (+ (* (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (* (/ PI 2) (+ (* 1/2 PI) (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1)))))))))) * * * * [misc]progress: [ 54 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 PI)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (258 enodes) * [exit]simplify: Simplified to (+ (* 1/2 PI) (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1)))) * [misc]simplify: Simplified (2 2 2 1 2 2) to (λ (v) (* (/ (/ (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))) (cbrt (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) (cbrt (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) (/ (- (/ PI 2) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (cbrt (+ (* (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (* (/ PI 2) (+ (* 1/2 PI) (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1)))))))))) * * * * [misc]progress: [ 55 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 PI)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (258 enodes) * [exit]simplify: Simplified to (+ (* 1/2 PI) (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1)))) * [misc]simplify: Simplified (2 2 2 1 2 2) to (λ (v) (* (/ (/ (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))) (cbrt (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) (cbrt (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) (/ (- (/ PI 2) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (cbrt (+ (* (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (* (/ PI 2) (+ (* 1/2 PI) (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1)))))))))) * * * * [misc]progress: [ 56 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (258 enodes) * [exit]simplify: Simplified to (+ (asin (/ (- 1 (* (* v v) 5)) (- (* v v) 1))) (* 1/2 PI)) * [misc]simplify: Simplified (2 1 2 1 1 2) to (λ (v) (* (/ (/ (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))) (cbrt (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) (cbrt (+ (* (/ PI 2) (+ (asin (/ (- 1 (* (* v v) 5)) (- (* v v) 1))) (* 1/2 PI))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) (/ (- (/ PI 2) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (cbrt (+ (* (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (* (/ PI 2) (+ (/ PI 2) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))))))))) * * * * [misc]progress: [ 57 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 PI)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (258 enodes) * [exit]simplify: Simplified to (+ (* 1/2 PI) (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1)))) * [misc]simplify: Simplified (2 1 2 1 1 2) to (λ (v) (* (/ (/ (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))) (cbrt (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) (cbrt (+ (* (/ PI 2) (+ (* 1/2 PI) (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1))))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) (/ (- (/ PI 2) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (cbrt (+ (* (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (* (/ PI 2) (+ (/ PI 2) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))))))))) * * * * [misc]progress: [ 58 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 PI)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (258 enodes) * [exit]simplify: Simplified to (+ (* 1/2 PI) (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1)))) * [misc]simplify: Simplified (2 1 2 1 1 2) to (λ (v) (* (/ (/ (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))) (cbrt (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) (cbrt (+ (* (/ PI 2) (+ (* 1/2 PI) (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1))))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) (/ (- (/ PI 2) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (cbrt (+ (* (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (* (/ PI 2) (+ (/ PI 2) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))))))))) * * * * [misc]progress: [ 59 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (258 enodes) * [exit]simplify: Simplified to (+ (asin (/ (- 1 (* (* v v) 5)) (- (* v v) 1))) (* 1/2 PI)) * [misc]simplify: Simplified (2 1 1 2 1 1 2) to (λ (v) (* (/ (/ (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))) (cbrt (+ (* (/ PI 2) (+ (asin (/ (- 1 (* (* v v) 5)) (- (* v v) 1))) (* 1/2 PI))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) (cbrt (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) (/ (- (/ PI 2) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (cbrt (+ (* (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (* (/ PI 2) (+ (/ PI 2) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))))))))) * * * * [misc]progress: [ 60 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 PI)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (258 enodes) * [exit]simplify: Simplified to (+ (* 1/2 PI) (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1)))) * [misc]simplify: Simplified (2 1 1 2 1 1 2) to (λ (v) (* (/ (/ (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))) (cbrt (+ (* (/ PI 2) (+ (* 1/2 PI) (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1))))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) (cbrt (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) (/ (- (/ PI 2) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (cbrt (+ (* (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (* (/ PI 2) (+ (/ PI 2) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))))))))) * * * * [misc]progress: [ 61 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 PI)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (258 enodes) * [exit]simplify: Simplified to (+ (* 1/2 PI) (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1)))) * [misc]simplify: Simplified (2 1 1 2 1 1 2) to (λ (v) (* (/ (/ (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))) (cbrt (+ (* (/ PI 2) (+ (* 1/2 PI) (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1))))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) (cbrt (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) (/ (- (/ PI 2) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (cbrt (+ (* (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (* (/ PI 2) (+ (/ PI 2) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))))))))) * * * * [misc]progress: [ 62 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (258 enodes) * [exit]simplify: Simplified to (+ (asin (/ (- 1 (* (* v v) 5)) (- (* v v) 1))) (* 1/2 PI)) * [misc]simplify: Simplified (2 1 1 1 1 2) to (λ (v) (* (/ (/ (+ (* (/ PI 2) (+ (asin (/ (- 1 (* (* v v) 5)) (- (* v v) 1))) (* 1/2 PI))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))) (cbrt (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) (cbrt (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) (/ (- (/ PI 2) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (cbrt (+ (* (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (* (/ PI 2) (+ (/ PI 2) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))))))))) * * * * [misc]progress: [ 63 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 PI)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (258 enodes) * [exit]simplify: Simplified to (+ (* 1/2 PI) (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1)))) * [misc]simplify: Simplified (2 1 1 1 1 2) to (λ (v) (* (/ (/ (+ (* (/ PI 2) (+ (* 1/2 PI) (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1))))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))) (cbrt (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) (cbrt (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) (/ (- (/ PI 2) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (cbrt (+ (* (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (* (/ PI 2) (+ (/ PI 2) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))))))))) * * * * [misc]progress: [ 64 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 PI)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (258 enodes) * [exit]simplify: Simplified to (+ (* 1/2 PI) (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1)))) * [misc]simplify: Simplified (2 1 1 1 1 2) to (λ (v) (* (/ (/ (+ (* (/ PI 2) (+ (* 1/2 PI) (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1))))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))) (cbrt (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) (cbrt (+ (* (/ PI 2) (+ (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ PI 2))) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))))) (/ (- (/ PI 2) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (cbrt (+ (* (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (* (/ PI 2) (+ (/ PI 2) (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))))))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# # # # # # #) * * * [misc]regime-changes: Trying 3 branch expressions: (v (* v v) (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) * * * * [misc]regimes: Trying to branch on v from (# # # # # # #) * * * * [misc]regimes: Trying to branch on (* v v) from (# # # # # # #) * * * * [misc]regimes: Trying to branch on (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) from (# # # # # # #) * * * * [misc]regimes: Trying to branch on (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) from (# # #) * * * [misc]regime: Found split indices: #