(('ushr', a, 0), a),
# Exponential/logarithmic identities
(('fexp2', ('flog2', a)), a), # 2^lg2(a) = a
- (('fexp', ('flog', a)), a), # e^ln(a) = a
(('flog2', ('fexp2', a)), a), # lg2(2^a) = a
- (('flog', ('fexp', a)), a), # ln(e^a) = a
(('fpow', a, b), ('fexp2', ('fmul', ('flog2', a), b)), 'options->lower_fpow'), # a^b = 2^(lg2(a)*b)
(('fexp2', ('fmul', ('flog2', a), b)), ('fpow', a, b), '!options->lower_fpow'), # 2^(lg2(a)*b) = a^b
- (('fexp', ('fmul', ('flog', a), b)), ('fpow', a, b), '!options->lower_fpow'), # e^(ln(a)*b) = a^b
(('fpow', a, 1.0), a),
(('fpow', a, 2.0), ('fmul', a, a)),
(('fpow', a, 4.0), ('fmul', ('fmul', a, a), ('fmul', a, a))),
(('fpow', 2.0, a), ('fexp2', a)),
(('fsqrt', ('fexp2', a)), ('fexp2', ('fmul', 0.5, a))),
- (('fsqrt', ('fexp', a)), ('fexp', ('fmul', 0.5, a))),
(('frcp', ('fexp2', a)), ('fexp2', ('fneg', a))),
- (('frcp', ('fexp', a)), ('fexp', ('fneg', a))),
(('frsq', ('fexp2', a)), ('fexp2', ('fmul', -0.5, a))),
- (('frsq', ('fexp', a)), ('fexp', ('fmul', -0.5, a))),
(('flog2', ('fsqrt', a)), ('fmul', 0.5, ('flog2', a))),
(('flog', ('fsqrt', a)), ('fmul', 0.5, ('flog', a))),
(('flog2', ('frcp', a)), ('fneg', ('flog2', a))),
(('fadd', ('flog2', a), ('fneg', ('flog2', b))), ('flog2', ('fdiv', a, b))),
(('fadd', ('flog', a), ('fneg', ('flog', b))), ('flog', ('fdiv', a, b))),
(('fmul', ('fexp2', a), ('fexp2', b)), ('fexp2', ('fadd', a, b))),
- (('fmul', ('fexp', a), ('fexp', b)), ('fexp', ('fadd', a, b))),
# Division and reciprocal
(('fdiv', 1.0, a), ('frcp', a)),
(('frcp', ('frcp', a)), a),