Average Error: 30.0 → 0.6
Time: 16.3s
Precision: 64
Internal Precision: 1344
$e^{\sin x} - e^{\sin \left(x + 1\right)}$
$\sqrt[3]{\left(e^{\sin x} - e^{\sin x \cdot \cos 1 + \cos x \cdot \sin 1}\right) \cdot \left(\left(e^{\sin x} - e^{\sin x \cdot \cos 1 + \cos x \cdot \sin 1}\right) \cdot \left(e^{\sin x} - e^{\sin x \cdot \cos 1 + \cos x \cdot \sin 1}\right)\right)}$

# Try it out

Results

 In Out
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# Derivation

1. Initial program 30.0

$e^{\sin x} - e^{\sin \left(x + 1\right)}$
2. Using strategy rm
3. Applied sin-sum1.0

$\leadsto e^{\sin x} - e^{\color{blue}{\sin x \cdot \cos 1 + \cos x \cdot \sin 1}}$
4. Using strategy rm

$\leadsto \color{blue}{\sqrt[3]{\left(\left(e^{\sin x} - e^{\sin x \cdot \cos 1 + \cos x \cdot \sin 1}\right) \cdot \left(e^{\sin x} - e^{\sin x \cdot \cos 1 + \cos x \cdot \sin 1}\right)\right) \cdot \left(e^{\sin x} - e^{\sin x \cdot \cos 1 + \cos x \cdot \sin 1}\right)}}$
6. Final simplification0.6

$\leadsto \sqrt[3]{\left(e^{\sin x} - e^{\sin x \cdot \cos 1 + \cos x \cdot \sin 1}\right) \cdot \left(\left(e^{\sin x} - e^{\sin x \cdot \cos 1 + \cos x \cdot \sin 1}\right) \cdot \left(e^{\sin x} - e^{\sin x \cdot \cos 1 + \cos x \cdot \sin 1}\right)\right)}$

# Runtime

Time bar (total: 16.3s)Debug log

herbie shell --seed '#(2775764126 3555076145 3898259844 1891440260 2599947619 1948460636)'
(FPCore (x)
:name "exp(sin(x))-exp(sin(x+1))"
(- (exp (sin x)) (exp (sin (+ x 1)))))